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Author: Xinzhi Liu Publisher: Springer ISBN: 3030062120 Category : Mathematics Languages : en Pages : 321
Book Description
This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.
Author: Xinzhi Liu Publisher: Springer ISBN: 3030062120 Category : Mathematics Languages : en Pages : 321
Book Description
This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.
Author: Xiaodi Li Publisher: Springer Nature ISBN: 9811646872 Category : Technology & Engineering Languages : en Pages : 449
Book Description
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: N. U. Ahmed Publisher: Springer Nature ISBN: 3030821390 Category : Mathematics Languages : en Pages : 328
Book Description
This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.
Author: Elena De Santis Publisher: Springer Nature ISBN: 3031204476 Category : Technology & Engineering Languages : en Pages : 305
Book Description
This book focuses on the observability of hybrid systems. It enables the reader to determine whether and how a hybrid system’s state can be reconstructed from sometimes necessarily partial information. By explaining how available measurements can be used to deduce past and future behaviours of a system, the authors extend this study of observability to embrace the properties of diagnosability and predictability. H-systems shows how continuous and discrete dynamics and their interaction affect the observability of this general class of hybrid systems and demonstrates that hybrid characteristics are not simply generalizations of well-known aspects of traditional dynamics. The authors identify conditions for state reconstruction, prediction and diagnosis of the occurrence of possibly faulty states. The formal approach to proving those properties for hybrid systems is accompanied by simple illustrative examples. For readers who are interested in the use of state estimation for controller design, the book also provides design methods for hybrid state observers and covers their application in some industrial cases. The book’s tutorial approach to the various forms of observability of hybrid systems helps to make H-systems of interest to academic researchers and graduate students working in control and to practitioners using control in an industrial environment.
Author: Carla M.A. Pinto Publisher: Springer Nature ISBN: 3031426894 Category : Mathematics Languages : en Pages : 331
Book Description
This book provides the most valuable and updated research on computational and mathematical models in biological systems from influential researchers around the world and contributes to the development of future research guidelines in this topic. Topics include (but are not limited to): modeling infectious and dynamic diseases; regulation of cell function; biological pattern formation; biological networks; tumor growth and angiogenesis; complex biological systems; Monte Carlo methods; Control theory, optimization and their applications
Author: Rafal Goebel Publisher: Princeton University Press ISBN: 0691153892 Category : Mathematics Languages : en Pages : 226
Book Description
Filled with a wealth of examples to illustrate concepts, this title 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.
Author: Sotir S. Sotirov Publisher: Springer Nature ISBN: 3030966380 Category : Technology & Engineering Languages : en Pages : 457
Book Description
This book gathers selected papers from the First International Symposium on Bioinformatics and Biomedicine. Issues related to medicine and health care constitute one of the grand challenges faces by the mankind, and this naturally implies a growing interest in these problems among both researchers and scholars, politicians and policymakers, as well as economist. The present values which gather selected papers from the First International Symposium on Bioinformatics and Biomedicine (BioInfoMed’2020) is a recent response to this interests. In the subsequent sections and chapters, it covers a multitude of various topics related to bioinformatics, biomedicine, bioenginering, as well as a broadly perceives healthcare. Issues related to decision making in bioinformatics, biomedicine and health care, mathematical modelling in biomedicine and health care, artificial intelligence in biomedicine and health care, uncertainty and imprecision, notably intuitionistic fuzzy sets with applications in bioinformatics and biomedicine, biomedical approaches and applications, biomedical imaging and image processing, and excitable structures and motor activity are covered.
Author: Robert A. Meyers Publisher: Springer Science & Business Media ISBN: 1461418054 Category : Mathematics Languages : en Pages : 1885
Book Description
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Author: Xinzhi Liu
Author: Xinzhi Liu
Author: Xiaodi Li
Author: Wassim M. Haddad
Author: N. U. Ahmed
Author: Elena De Santis
Author: Carla M.A. Pinto
Author: Rafal Goebel
Author: Sotir S. Sotirov
Author: Romain Postoyan
Author: Robert A. Meyers