The Robust Maximum Principle

Author : Anonim
Publisher : Unknown
Page : 456 pages
File Size : 45,5 Mb
Release : 2011-11-01
Category : Electronic
ISBN : 0817681531

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The Robust Maximum Principle by Anonim Pdf

Author : Vladimir G. Boltyanski,Alexander S. Poznyak
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 44,7 Mb
Release : 2011-11-06
Category : Science
ISBN : 9780817681524

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The Robust Maximum Principle by Vladimir G. Boltyanski,Alexander S. Poznyak Pdf

Covering some of the key areas of optimal control theory (OCT), a rapidly expanding field, the authors use new methods to set out a version of OCT’s more refined ‘maximum principle.’ The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. This book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.

Author : Julio B. Clempner,Wen Yu
Publisher : Springer
Page : 538 pages
File Size : 44,8 Mb
Release : 2017-09-30
Category : Technology & Engineering
ISBN : 9783319624648

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New Perspectives and Applications of Modern Control Theory by Julio B. Clempner,Wen Yu Pdf

This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.

Author : Leonid Fridman,Alexander Poznyak,Francisco Javier Bejarano
Publisher : Springer
Page : 150 pages
File Size : 49,6 Mb
Release : 2014-07-08
Category : Science
ISBN : 9780817649623

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Robust Output LQ Optimal Control via Integral Sliding Modes by Leonid Fridman,Alexander Poznyak,Francisco Javier Bejarano Pdf

Featuring original research from well-known experts in the field of sliding mode control, this book presents new design schemes for a useful and practical optimal control with very few impractical assumptions. The results presented allow optimal control theory to grow in its applicability to real-world systems. On the cutting-edge of optimal control research, this book is an excellent resource for both graduate students and researchers in engineering, mathematics, and optimal control.

Author : Alexander S. Poznyak
Publisher : Elsevier
Page : 568 pages
File Size : 40,6 Mb
Release : 2009-08-13
Category : Technology & Engineering
ISBN : 9780080914039

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Advanced Mathematical Tools for Automatic Control Engineers: Volume 2 by Alexander S. Poznyak Pdf

Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Author : Bozenna Pasik-Duncan
Publisher : Springer
Page : 566 pages
File Size : 48,6 Mb
Release : 2003-07-01
Category : Mathematics
ISBN : 9783540480228

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Stochastic Theory and Control by Bozenna Pasik-Duncan Pdf

This volume contains almost all of the papers that were presented at the Workshop on Stochastic Theory and Control that was held at the Univ- sity of Kansas, 18–20 October 2001. This three-day event gathered a group of leading scholars in the ?eld of stochastic theory and control to discuss leading-edge topics of stochastic control, which include risk sensitive control, adaptive control, mathematics of ?nance, estimation, identi?cation, optimal control, nonlinear ?ltering, stochastic di?erential equations, stochastic p- tial di?erential equations, and stochastic theory and its applications. The workshop provided an opportunity for many stochastic control researchers to network and discuss cutting-edge technologies and applications, teaching and future directions of stochastic control. Furthermore, the workshop focused on promoting control theory, in particular stochastic control, and it promoted collaborative initiatives in stochastic theory and control and stochastic c- trol education. The lecture on “Adaptation of Real-Time Seizure Detection Algorithm” was videotaped by the PBS. Participants of the workshop have been involved in contributing to the documentary being ?lmed by PBS which highlights the extraordinary work on “Math, Medicine and the Mind: Discovering Tre- ments for Epilepsy” that examines the e?orts of the multidisciplinary team on which several of the participants of the workshop have been working for many years to solve one of the world’s most dramatic neurological conditions. Invited high school teachers of Math and Science were among the part- ipants of this professional meeting.

Author : Vladimir Boltyanski,Horst Martini,V. Soltan
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 50,9 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9781461553199

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Geometric Methods and Optimization Problems by Vladimir Boltyanski,Horst Martini,V. Soltan Pdf

VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are the much discussed interplay between lin ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines.

Author : Gregory Budzban,Harry Randolph Hughes,Henri Schurz
Publisher : American Mathematical Soc.
Page : 236 pages
File Size : 49,8 Mb
Release : 2016-06-29
Category : Combinatorial geometry
ISBN : 9781470419455

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Probability on Algebraic and Geometric Structures by Gregory Budzban,Harry Randolph Hughes,Henri Schurz Pdf

This volume contains the proceedings of the International Research Conference “Probability on Algebraic and Geometric Structures”, held from June 5–7, 2014, at Southern Illinois University, Carbondale, IL, celebrating the careers of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea. These proceedings include survey papers and new research on a variety of topics such as probability measures and the behavior of stochastic processes on groups, semigroups, and Clifford algebras; algebraic methods for analyzing Markov chains and products of random matrices; stochastic integrals and stochastic ordinary, partial, and functional differential equations.

Author : Thomas J. Böhme,Benjamin Frank
Publisher : Springer
Page : 549 pages
File Size : 53,6 Mb
Release : 2017-02-01
Category : Technology & Engineering
ISBN : 9783319513171

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Hybrid Systems, Optimal Control and Hybrid Vehicles by Thomas J. Böhme,Benjamin Frank Pdf

This book assembles new methods showing the automotive engineer for the first time how hybrid vehicle configurations can be modeled as systems with discrete and continuous controls. These hybrid systems describe naturally and compactly the networks of embedded systems which use elements such as integrators, hysteresis, state-machines and logical rules to describe the evolution of continuous and discrete dynamics and arise inevitably when modeling hybrid electric vehicles. They can throw light on systems which may otherwise be too complex or recondite. Hybrid Systems, Optimal Control and Hybrid Vehicles shows the reader how to formulate and solve control problems which satisfy multiple objectives which may be arbitrary and complex with contradictory influences on fuel consumption, emissions and drivability. The text introduces industrial engineers, postgraduates and researchers to the theory of hybrid optimal control problems. A series of novel algorithmic developments provides tools for solving engineering problems of growing complexity in the field of hybrid vehicles. Important topics of real relevance rarely found in text books and research publications—switching costs, sensitivity of discrete decisions and there impact on fuel savings, etc.—are discussed and supported with practical applications. These demonstrate the contribution of optimal hybrid control in predictive energy management, advanced powertrain calibration, and the optimization of vehicle configuration with respect to fuel economy, lowest emissions and smoothest drivability. Numerical issues such as computing resources, simplifications and stability are treated to enable readers to assess such complex systems. To help industrial engineers and managers with project decision-making, solutions for many important problems in hybrid vehicle control are provided in terms of requirements, benefits and risks.

Author : Jan H. Maruhn
Publisher : Walter de Gruyter
Page : 210 pages
File Size : 55,5 Mb
Release : 2009
Category : Mathematics
ISBN : 9783110204681

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Robust Static Super-replication of Barrier Options by Jan H. Maruhn Pdf

Static hedge portfolios for barrier options are very sensitive with respect to changes of the volatility surface. To prevent potentially significant hedging losses this book develops a static super-replication strategy with market-typical robustness against volatility, skew and liquidity risk as well as model errors. Empirical results and various numerical examples confirm that the static superhedge successfully eliminates the risk of a changing volatility surface. Combined with associated sub-replication strategies this leads to robust price bounds for barrier options which are also relevant in the context of dynamic hedging. The mathematical techniques used to prove appropriate existence, duality and convergence results range from financial mathematics, stochastic and semi-infinite optimization, convex analysis and partial differential equations to semidefinite programming.

Author : Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky
Publisher : Springer
Page : 387 pages
File Size : 42,6 Mb
Release : 2015-06-04
Category : Technology & Engineering
ISBN : 9783319190754

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Continuous and Distributed Systems II by Viktor A. Sadovnichiy,Mikhail Z. Zgurovsky Pdf

As in the previous volume on the topic, the authors close the gap between abstract mathematical approaches, such as applied methods of modern algebra and analysis, fundamental and computational mechanics, nonautonomous and stochastic dynamical systems, on the one hand and practical applications in nonlinear mechanics, optimization, decision making theory and control theory on the other. Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in biochemistry, geophysics, biology and climatology. This compilation will be of interest to mathematicians and engineers working at the interface of these fields. It presents selected works of the joint seminar series of Lomonosov Moscow State University and the Institute for Applied System Analysis at National Technical University of Ukraine “Kyiv Polytechnic Institute”. The authors come from Brazil, Germany, France, Mexico, Spain, Poland, Russia, Ukraine and the USA.

Author : Günter Rudolph,Anna V. Kononova,Hernán Aguirre,Pascal Kerschke,Gabriela Ochoa,Tea Tušar
Publisher : Springer Nature
Page : 632 pages
File Size : 45,9 Mb
Release : 2022-08-13
Category : Computers
ISBN : 9783031147142

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Parallel Problem Solving from Nature – PPSN XVII by Günter Rudolph,Anna V. Kononova,Hernán Aguirre,Pascal Kerschke,Gabriela Ochoa,Tea Tušar Pdf

This two-volume set LNCS 13398 and LNCS 13399 constitutes the refereed proceedings of the 17th International Conference on Parallel Problem Solving from Nature, PPSN 2022, held in Dortmund, Germany, in September 2022. The 87 revised full papers were carefully reviewed and selected from numerous submissions. The conference presents a study of computing methods derived from natural models. Amorphous Computing, Artificial Life, Artificial Ant Systems, Artificial Immune Systems, Artificial Neural Networks, Cellular Automata, Evolutionary Computation, Swarm Computing, Self-Organizing Systems, Chemical Computation, Molecular Computation, Quantum Computation, Machine Learning, and Artificial Intelligence approaches using Natural Computing methods are just some of the topics covered in this field.

Author : Andrzej Świerniak,Marek Kimmel,Jaroslaw Smieja,Krzysztof Puszynski,Krzysztof Psiuk-Maksymowicz
Publisher : Springer
Page : 235 pages
File Size : 40,9 Mb
Release : 2016-05-19
Category : Mathematics
ISBN : 9783319280950

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System Engineering Approach to Planning Anticancer Therapies by Andrzej Świerniak,Marek Kimmel,Jaroslaw Smieja,Krzysztof Puszynski,Krzysztof Psiuk-Maksymowicz Pdf

This book focuses on the analysis of cancer dynamics and the mathematically based synthesis of anticancer therapy. It summarizes the current state-of-the-art in this field and clarifies common misconceptions about mathematical modeling in cancer. Additionally, it encourages closer cooperation between engineers, physicians and mathematicians by showing the clear benefits of this without stating unrealistic goals. Development of therapy protocols is realized from an engineering point of view, such as the search for a solution to a specific control-optimization problem. Since in the case of cancer patients, consecutive measurements providing information about the current state of the disease are not available, the control laws are derived for an open loop structure. Different forms of therapy are incorporated into the models, from chemotherapy and antiangiogenic therapy to immunotherapy and gene therapy, but the class of models introduced is broad enough to incorporate other forms of therapy as well. The book begins with an analysis of cell cycle control, moving on to control effects on cell population and structured models and finally the signaling pathways involved in carcinogenesis and their influence on therapy outcome. It also discusses the incorporation of intracellular processes using signaling pathway models, since the successful treatment of cancer based on analysis of intracellular processes, might soon be a reality. It brings together various aspects of modeling anticancer therapies, which until now have been distributed over a wide range of literature. Written for researchers and graduate students interested in the use of mathematical and engineering tools in biomedicine with special emphasis on applications in cancer diagnosis and treatment, this self-contained book can be easily understood with only a minimal basic knowledge of control and system engineering methods as well as the biology of cancer. Its interdisciplinary character and the authors’ extensive experience in cooperating with clinicians and biologists make it interesting reading for researchers from control and system engineering looking for applications of their knowledge. Systems and molecular biologists as well as clinicians will also find new inspiration for their research.

Author : Christodoulos A. Floudas,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 4646 pages
File Size : 53,8 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780387747583

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Encyclopedia of Optimization by Christodoulos A. Floudas,Panos M. Pardalos Pdf

The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".

Author : Anonim
Publisher : ScholarlyEditions
Page : 1160 pages
File Size : 55,7 Mb
Release : 2013-05-01
Category : Technology & Engineering
ISBN : 9781490110721

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Issues in Robotics and Automation: 2013 Edition by Anonim Pdf

Issues in Robotics and Automation / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Computing Information and Control. The editors have built Issues in Robotics and Automation: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computing Information and Control in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Robotics and Automation: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.