Nonlinear Hybrid Continuous Discrete Time Models

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Nonlinear Hybrid Continuous/Discrete-Time Models

Marat Akhmet
Nonlinear Hybrid Continuous Discrete Time Models Book PDF

Author : Marat Akhmet
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 46,5 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 9789491216039

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Nonlinear Hybrid Continuous/Discrete-Time Models by Marat Akhmet Pdf

The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.

Hybrid Dynamical Systems

Mohamed Djemai,Michael Defoort
Hybrid Dynamical Systems Book PDF

Author : Mohamed Djemai,Michael Defoort
Publisher : Springer
Page : 332 pages
File Size : 43,9 Mb
Release : 2014-10-13
Category : Technology & Engineering
ISBN : 9783319107950

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Hybrid Dynamical Systems by Mohamed Djemai,Michael Defoort Pdf

This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems – systems involving both continuous dynamics and discrete events – as described by the work of several well-known groups of researchers. Hybrid Dynamical Systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. Continuous and discrete state estimation and self-triggering control of nonlinear systems are advanced. The text employs various methods, among them, high-order sliding modes, Takagi–Sugeno representation and sampled-data switching to achieve its ends. The many applications of hybrid systems from power converters to computer science are not forgotten; studies of flexible-joint robotic arms and – as representative biological systems – the behaviour of the human heart and vasculature, demonstrate the wide-ranging practical significance of control in hybrid systems. The cross-disciplinary origins of study in hybrid systems are evident. Academic researchers and graduate students interested in hybrid and switched systems need look no further than Hybrid Dynamical Systems for a single source which will bring them up to date with work in this area from around the world.

Hybrid Dynamical Systems

Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Hybrid Dynamical Systems Book PDF

Author : Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel
Publisher : Princeton University Press
Page : 227 pages
File Size : 44,6 Mb
Release : 2012-03-18
Category : Mathematics
ISBN : 9781400842636

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Hybrid Dynamical Systems by Rafal Goebel,Ricardo G. Sanfelice,Andrew R. Teel Pdf

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

Replication of Chaos in Neural Networks, Economics and Physics

Marat Akhmet,Mehmet Onur Fen
Replication of Chaos in Neural Networks Economics and Physics Book PDF

Author : Marat Akhmet,Mehmet Onur Fen
Publisher : Springer
Page : 457 pages
File Size : 51,6 Mb
Release : 2015-08-13
Category : Science
ISBN : 9783662475003

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Replication of Chaos in Neural Networks, Economics and Physics by Marat Akhmet,Mehmet Onur Fen Pdf

This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.

4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019)

Hemen Dutta,Zakia Hammouch,Hasan Bulut,Haci Mehmet Baskonus
4th International Conference on Computational Mathematics and Engineering Sciences CMES 2019 Book PDF

Author : Hemen Dutta,Zakia Hammouch,Hasan Bulut,Haci Mehmet Baskonus
Publisher : Springer Nature
Page : 332 pages
File Size : 40,6 Mb
Release : 2020-01-10
Category : Technology & Engineering
ISBN : 9783030391126

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4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) by Hemen Dutta,Zakia Hammouch,Hasan Bulut,Haci Mehmet Baskonus Pdf

This book gathers original research papers presented at the 4th International Conference on Computational Mathematics and Engineering Sciences, held at Akdeniz University, Antalya, Turkey, on 20–22 April 2019. Focusing on computational methods in science, mathematical tools applied to engineering, mathematical modeling and new aspects of analysis, the book discusses the applications of mathematical modelling in areas such as health science, engineering, computer science, social science, and economics. It also describes a wide variety of analytical, computational, and numerical methods. The conference aimed to foster cooperation between students and researchers in the areas of computational mathematics and engineering sciences, and provide a platform for them to share significant research ideas. This book is a valuable resource for graduate students, researchers and educators interested in the mathematical tools and techniques required for solving various problems arising in science and engineering, and understanding new methods and uses of mathematical analysis.

Constrained Optimal Control of Linear and Hybrid Systems

Francesco Borrelli
Constrained Optimal Control of Linear and Hybrid Systems Book PDF

Author : Francesco Borrelli
Publisher : Springer
Page : 206 pages
File Size : 50,7 Mb
Release : 2003-09-04
Category : Mathematics
ISBN : 9783540362258

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Constrained Optimal Control of Linear and Hybrid Systems by Francesco Borrelli Pdf

Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.

Smart Applications with Advanced Machine Learning and Human-Centred Problem Design

D. Jude Hemanth,Utku Kose,Junzo Watada,Bogdan Patrut
Smart Applications with Advanced Machine Learning and Human Centred Problem Design Book PDF

Author : D. Jude Hemanth,Utku Kose,Junzo Watada,Bogdan Patrut
Publisher : Springer Nature
Page : 801 pages
File Size : 46,9 Mb
Release : 2023-01-01
Category : Technology & Engineering
ISBN : 9783031097539

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Smart Applications with Advanced Machine Learning and Human-Centred Problem Design by D. Jude Hemanth,Utku Kose,Junzo Watada,Bogdan Patrut Pdf

This book brings together the most recent, quality research papers accepted and presented in the 3rd International Conference on Artificial Intelligence and Applied Mathematics in Engineering (ICAIAME 2021) held in Antalya, Turkey between 1-3 October 2021. Objective of the content is to provide important and innovative research for developments-improvements within different engineering fields, which are highly interested in using artificial intelligence and applied mathematics. As a collection of the outputs from the ICAIAME 2021, the book is specifically considering research outcomes including advanced use of machine learning and careful problem designs on human-centred aspects. In this context, it aims to provide recent applications for real-world improvements making life easier and more sustainable for especially humans. The book targets the researchers, degree students, and practitioners from both academia and the industry.

Emerging Applications of Differential Equations and Game Theory

Alparslan Gök, S?rma Zeynep,Aru?aslan Çinçin, Duygu
Emerging Applications of Differential Equations and Game Theory Book PDF

Author : Alparslan Gök, S?rma Zeynep,Aru?aslan Çinçin, Duygu
Publisher : IGI Global
Page : 284 pages
File Size : 49,8 Mb
Release : 2019-11-22
Category : Mathematics
ISBN : 9781799801368

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Emerging Applications of Differential Equations and Game Theory by Alparslan Gök, S?rma Zeynep,Aru?aslan Çinçin, Duygu Pdf

Branches of mathematics and advanced mathematical algorithms can help solve daily problems throughout various fields of applied sciences. Domains like economics, mechanical engineering, and multi-person decision making benefit from the inclusion of mathematics to maximize utility and cooperation across disciplines. There is a need for studies seeking to understand the theories and practice of using differential mathematics to increase efficiency and order in the modern world. Emerging Applications of Differential Equations and Game Theory is a collection of innovative research that examines the recent advancements on interdisciplinary areas of applied mathematics. While highlighting topics such as artificial neuron networks, stochastic optimization, and dynamical systems, this publication is ideally designed for engineers, cryptologists, economists, computer scientists, business managers, mathematicians, mechanics, academicians, researchers, and students.

Trends in Data Engineering Methods for Intelligent Systems

Jude Hemanth,Tuncay Yigit,Bogdan Patrut,Anastassia Angelopoulou
Trends in Data Engineering Methods for Intelligent Systems Book PDF

Author : Jude Hemanth,Tuncay Yigit,Bogdan Patrut,Anastassia Angelopoulou
Publisher : Springer Nature
Page : 797 pages
File Size : 41,9 Mb
Release : 2021-07-05
Category : Computers
ISBN : 9783030793579

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Trends in Data Engineering Methods for Intelligent Systems by Jude Hemanth,Tuncay Yigit,Bogdan Patrut,Anastassia Angelopoulou Pdf

This book briefly covers internationally contributed chapters with artificial intelligence and applied mathematics-oriented background-details. Nowadays, the world is under attack of intelligent systems covering all fields to make them practical and meaningful for humans. In this sense, this edited book provides the most recent research on use of engineering capabilities for developing intelligent systems. The chapters are a collection from the works presented at the 2nd International Conference on Artificial Intelligence and Applied Mathematics in Engineering held within 09-10-11 October 2020 at the Antalya, Manavgat (Turkey). The target audience of the book covers scientists, experts, M.Sc. and Ph.D. students, post-docs, and anyone interested in intelligent systems and their usage in different problem domains. The book is suitable to be used as a reference work in the courses associated with artificial intelligence and applied mathematics.

16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering

Wolfgang Marquardt,Costas Pantelides
16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering Book PDF

Author : Wolfgang Marquardt,Costas Pantelides
Publisher : Elsevier
Page : 2318 pages
File Size : 42,7 Mb
Release : 2006-08-02
Category : Technology & Engineering
ISBN : 0080525806

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16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering by Wolfgang Marquardt,Costas Pantelides Pdf

This proceedings book contains the papers presented at the joint conference event of the 9th Symposium on Process Systems Engineering (PSE'2006) and the 16th European Symposium on Computer Aided Process Engineering (ESCAPE-16), held in Garmisch-Partenkirchen, Germany, from July 9 – July 13, 2006. The symposium follows the first joint event PSE’97 / ESCAPE-7 in Trondheim, Norway (1997). The last two venues of the ESCAPE symposia were Barcelona, Spain (2005) and Lisbon, Portugal (2004) and the most recent PSE symposia were held in Kunming, China (2003) and Keystone, Colorado, USA (2000). The purpose of both series is to bring together the international community of researchers engineers who are interested in computing-based methods in process engineering. The main objective of the symposium is to review and present the latest developments and current state in Process Systems Engineering and Computer Aided Process Engineering. The focus of PSE’2006 / ESCAPE-16 has been on Modelling and Numerical Methods, Product and Process Design, Operations and Control, Biological Systems, Infrastructure Systems, and Business decision support. * reviews and presents the latest developments and current state of Process Systems Engineering and Computer Aided Process Engineering * contains papers presented at a joint conference event * bringing together an international community of researchers and engineers interested in computing-based methods in Process Engineering

Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities

Marat Akhmet,Ardak Kashkynbayev
Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities Book PDF

Author : Marat Akhmet,Ardak Kashkynbayev
Publisher : Springer
Page : 166 pages
File Size : 52,8 Mb
Release : 2017-01-23
Category : Mathematics
ISBN : 9789811031809

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Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities by Marat Akhmet,Ardak Kashkynbayev Pdf

This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types – those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations. The results obtained can be applied to various fields, such as neural networks, brain dynamics, mechanical systems, weather phenomena and population dynamics. Developing bifurcation theory for various types of differential equations, the book is pioneering in the field. It presents the latest results and provides a practical guide to applying the theory to differential equations with various types of discontinuity. Moreover, it offers new ways to analyze nonautonomous bifurcation scenarios in these equations. As such, it shows undergraduate and graduate students how bifurcation theory can be developed not only for discrete and continuous systems, but also for those that combine these systems in very different ways. At the same time, it offers specialists several powerful instruments developed for the theory of discontinuous dynamical systems with variable moments of impact, differential equations with piecewise constant arguments of generalized type and Filippov systems.

Mathematical Modeling and Applications in Nonlinear Dynamics

Albert C.J. Luo,Hüseyin Merdan
Mathematical Modeling and Applications in Nonlinear Dynamics Book PDF

Author : Albert C.J. Luo,Hüseyin Merdan
Publisher : Springer
Page : 205 pages
File Size : 44,8 Mb
Release : 2016-01-28
Category : Technology & Engineering
ISBN : 9783319266305

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Mathematical Modeling and Applications in Nonlinear Dynamics by Albert C.J. Luo,Hüseyin Merdan Pdf

The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.

Multidimensional Integral Equations and Inequalities

B.G. Pachpatte
Multidimensional Integral Equations and Inequalities Book PDF

Author : B.G. Pachpatte
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 50,9 Mb
Release : 2011-07-26
Category : Mathematics
ISBN : 9789491216176

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Multidimensional Integral Equations and Inequalities by B.G. Pachpatte Pdf

Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.

Mathematics for Reliability Engineering

Mangey Ram,Liudong Xing
Mathematics for Reliability Engineering Book PDF

Author : Mangey Ram,Liudong Xing
Publisher : Walter de Gruyter GmbH & Co KG
Page : 253 pages
File Size : 46,8 Mb
Release : 2021-11-22
Category : Technology & Engineering
ISBN : 9783110725636

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Mathematics for Reliability Engineering by Mangey Ram,Liudong Xing Pdf

"Reliability is a fundamental criterium in engineering systems. This book shows innovative concepts and applications of mathematics in solving reliability problems. The contents address in particular the interaction between engineers and mathematicians, as well as the cross-fertilization of science and technology. It bridges the gap between theory and practice to aid in practical problem-solving in various contexts."--Publisher

Almost Periodicity, Chaos, and Asymptotic Equivalence

Marat Akhmet
Almost Periodicity Chaos and Asymptotic Equivalence Book PDF

Author : Marat Akhmet
Publisher : Springer
Page : 360 pages
File Size : 52,6 Mb
Release : 2019-06-20
Category : Technology & Engineering
ISBN : 9783030205720

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Almost Periodicity, Chaos, and Asymptotic Equivalence by Marat Akhmet Pdf

The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book focuses on almost periodic functions, first of all, as Stable (asymptotically) solutions of differential equations of different types, presumably discontinuous; and, secondly, as non-isolated oscillations in chaotic sets. Finally, the author proves the existence of Almost Periodic Oscillations (asymptotic and bi-asymptotic) by asymptotic equivalence between systems. The book brings readers' attention to contemporary methods for considering oscillations as well as to methods with strong potential for study of chaos in the future. Providing three powerful instruments for mathematical research of oscillations where dynamics are observable and applied, the book is ideal for engineers as well as specialists in electronics, computer sciences, robotics, neural networks, artificial networks, and biology. Distinctively combines results and methods of the theory of differential equations with thorough investigation of chaotic dynamics with almost periodic ingredients; Provides all necessary mathematical basics in their most developed form, negating the need for any additional sources for readers to start work in the area; Presents a unique method of investigation of discontinuous almost periodic solutions in its unified form, employed to differential equations with different types of discontinuity; Develops the equivalence method to its ultimate effective state such that most important theoretical problems and practical applications can be analyzed by the method.