State Dependent Impulses

Author : Irena Rachůnková,Jan Tomeček
Publisher : Springer
Page : 190 pages
File Size : 41,9 Mb
Release : 2015-09-29
Category : Mathematics
ISBN : 9789462391277

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State-Dependent Impulses by Irena Rachůnková,Jan Tomeček Pdf

This book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm–Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions.

Author : Irena Rachunková,Jan Tomecek
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2015
Category : Electronic
ISBN : 9462391289

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State-Dependent Impulses by Irena Rachunková,Jan Tomecek Pdf

Author : Xiaodi Li,Shiji Song
Publisher : Springer Nature
Page : 449 pages
File Size : 48,5 Mb
Release : 2021-10-15
Category : Technology & Engineering
ISBN : 9789811646874

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Impulsive Systems with Delays by Xiaodi Li,Shiji Song Pdf

This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided. This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory.

Author : Alfonso Baños,Antonio Barreiro
Publisher : Springer Science & Business Media
Page : 263 pages
File Size : 50,9 Mb
Release : 2011-10-14
Category : Technology & Engineering
ISBN : 9781447122500

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Reset Control Systems by Alfonso Baños,Antonio Barreiro Pdf

Reset Control Systems addresses the analysis for reset control treating both its basic form, and some useful variations of the reset action and reset condition. The issues regarding reset control – concepts and motivation; analysis tools; and the application of design methodologies to real-world examples – are given thorough coverage. The text opens with a historical perspective which moves from the seminal work of the Clegg integrator and Horowitz FORE to more recent approaches based on impulsive/hybrid control systems and explains the motivation for reset compensation. Preliminary material is also included. The focus then turns to stability analysis for systems using techniques which account for various time- and frequency-domain criteria. The final section of the book is centered on control systems design and application. The PI+CI compensator is detailed as are a proposed frequency domain approach using quantitative feedback theory and ideas for design improvement. Design examples are given.

Author : Ravi P. Agarwal,Kanishka Perera
Publisher : Hindawi Publishing Corporation
Page : 1268 pages
File Size : 44,5 Mb
Release : 2006
Category : Difference equations
ISBN : 9775945380

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Proceedings of the Conference on Differential & Difference Equations and Applications by Ravi P. Agarwal,Kanishka Perera Pdf

Author : Ju H. Park
Publisher : Springer Nature
Page : 548 pages
File Size : 41,6 Mb
Release : 2020-08-11
Category : Technology & Engineering
ISBN : 9783030491239

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Recent Advances in Control Problems of Dynamical Systems and Networks by Ju H. Park Pdf

This edited book introduces readers to new analytical techniques and controller design schemes used to solve the emerging “hottest” problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors that now have to be considered, and which haven’t been addressed from control engineering perspectives to date, are naturally emerging as the systems become more complex and networked. The general scope of this book includes the modeling of the system itself and uncertainty elements, examining stability under various criteria, and controller design techniques to achieve specific control objectives in various dynamic systems and networks. In terms of traditional stability matters, this includes the following special issues: finite-time stability and stabilization, consensus/synchronization, fault-tolerant control, event-triggered control, and sampled-data control for classical linear/nonlinear systems, interconnected systems, fractional-order systems, switched systems, neural networks, and complex networks. In terms of introducing graduate students and professional researchers studying control engineering and applied mathematics to the latest research trends in the areas mentioned above, this book offers an excellent guide.

Author : Ravi Agarwal,Snezhana Hristova,Donal O'Regan
Publisher : Springer
Page : 251 pages
File Size : 42,8 Mb
Release : 2017-10-27
Category : Mathematics
ISBN : 9783319663845

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Non-Instantaneous Impulses in Differential Equations by Ravi Agarwal,Snezhana Hristova,Donal O'Regan Pdf

This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. The authors examine a wide scope of differential equations with non-instantaneous impulses through three comprehensive chapters, providing an all-rounded and unique presentation on the topic, including: - Ordinary differential equations with non-instantaneous impulses (scalar and n-dimensional case)- Fractional differential equations with non-instantaneous impulses (with Caputo fractional derivatives of order q ε (0, 1))- Ordinary differential equations with non-instantaneous impulses occurring at random moments (with exponential, Erlang, or Gamma distribution) Each chapter focuses on theory, proofs and examples, and contains numerous graphs to enrich the reader’s understanding. Additionally, a carefully selected bibliography is included. Graduate students at various levels as well as researchers in differential equations and related fields will find this a valuable resource of both introductory and advanced material.

Author : Alberto A. Pinto,David Zilberman
Publisher : Springer
Page : 532 pages
File Size : 54,9 Mb
Release : 2017-09-30
Category : Mathematics
ISBN : 9783319552361

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Modeling, Dynamics, Optimization and Bioeconomics II by Alberto A. Pinto,David Zilberman Pdf

The concepts and techniques presented in this volume originated from the fields of dynamics, statistics, control theory, computer science and informatics, and are applied to novel and innovative real-world applications. Over the past few decades, the use of dynamic systems, control theory, computing, data mining, machine learning and simulation has gained the attention of numerous researchers from all over the world. Admirable scientific projects using both model-free and model-based methods coevolved at today’s research centers and are introduced in conferences around the world, yielding new scientific advances and helping to solve important real-world problems. One important area of progress is the bioeconomy, where advances in the life sciences are used to produce new products in a sustainable and clean manner. In this book, scientists from all over the world share their latest insights and important findings in the field. The majority of the contributed papers for this volume were written by participants of the 3rd International Conference on Dynamics, Games and Science, DGSIII, held at the University of Porto in February 2014, and at the Berkeley Bioeconomy Conference at the University of California at Berkeley in March 2014. The aim of the project of this book “Modeling, Dynamics, Optimization and Bioeconomics II” follows the same aim as its companion piece, “Modeling, Dynamics, Optimization and Bioeconomics I,” namely, the exploration of emerging and cutting-edge theories and methods for modeling, optimization, dynamics and bioeconomy.

Author : Roman Wyrzykowski,Jack Dongarra,Marcin Paprzycki,Jerzy Wasniewski
Publisher : Springer
Page : 915 pages
File Size : 50,6 Mb
Release : 2003-08-01
Category : Computers
ISBN : 9783540480860

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Parallel Processing and Applied Mathematics by Roman Wyrzykowski,Jack Dongarra,Marcin Paprzycki,Jerzy Wasniewski Pdf

This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Parallel Processing and Applied Mathematics, PPAM 2002, held in Naleczow, Poland, in September 2001. The 101 papers presented were carefully reviewed and improved during two rounds of reviewing and revision. The book offers topical sections on distributed and grid architectures, scheduling and load balancing, performance analysis and prediction, parallel non-numerical algorithms, parallel programming, tools and environments, parallel numerical algorithms, applications, and evolutionary computing and neural networks.

Author : Saïd Abbas,Mouffak Benchohra
Publisher : Springer
Page : 408 pages
File Size : 54,8 Mb
Release : 2015-06-30
Category : Mathematics
ISBN : 9783319177687

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Advanced Functional Evolution Equations and Inclusions by Saïd Abbas,Mouffak Benchohra Pdf

This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Fréchet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks. This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.

Author : Mouffak Benchohra
Publisher : Hindawi Publishing Corporation
Page : 381 pages
File Size : 49,5 Mb
Release : 2006
Category : Differential equations
ISBN : 9789775945501

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Impulsive Differential Equations and Inclusions by Mouffak Benchohra Pdf

Author : Gani T. Stamov
Publisher : Springer
Page : 235 pages
File Size : 52,7 Mb
Release : 2012-03-08
Category : Mathematics
ISBN : 9783642275463

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Almost Periodic Solutions of Impulsive Differential Equations by Gani T. Stamov Pdf

In the present book a systematic exposition of the results related to almost periodic solutions of impulsive differential equations is given and the potential for their application is illustrated.

Author : John R. Graef,Johnny Henderson,Abdelghani Ouahab
Publisher : Walter de Gruyter
Page : 412 pages
File Size : 42,9 Mb
Release : 2013-07-31
Category : Mathematics
ISBN : 9783110295313

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Impulsive Differential Inclusions by John R. Graef,Johnny Henderson,Abdelghani Ouahab Pdf

Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Author : Remco I. Leine,Nathan van de Wouw
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 50,9 Mb
Release : 2007-12-29
Category : Technology & Engineering
ISBN : 9783540769750

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Stability and Convergence of Mechanical Systems with Unilateral Constraints by Remco I. Leine,Nathan van de Wouw Pdf

While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.

Author : Feliz Manuel Minhós,João Fialho
Publisher : MDPI
Page : 198 pages
File Size : 46,5 Mb
Release : 2019-10-14
Category : Mathematics
ISBN : 9783039215386

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New Trends in Differential and Difference Equations and Applications by Feliz Manuel Minhós,João Fialho Pdf

This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.