Qualitative Theory of Hybrid Dynamical Systems

Alexy S. Matveev

ISBN 10: 0817641416 / ISBN 13: 9780817641412

Published by Springer Nature B.V. Mär 2000, 2000

About this Item

Neuware - The emerging area of hybrid dynamical systems lies at the interface of control theory and computer science, i.e., analogue 'and' digital aspects of systems. A new monograph presenting state-of-the-art concepts, methods, and tools for analyzing and describing hybrid dynamical systems. Control engineers, system engineers and robotics researchers and professionals will find the book a valuable resource for new developments, applications, and research in the field.

Seller Inventory # 9780817641412

Bibliographic Details

• Title: Qualitative Theory of Hybrid Dynamical Systems
• Publisher: Springer Nature B.V. Mär 2000
• Publication Date: 2000
• Language: English
• ISBN 10: 0817641416
• ISBN 13: 9780817641412
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 26D millimeters 241 millimeters width by 160 millimeters height by 26 millimeters depth
• Weight: 708 grams

About this title

Synopsis

Hybrid dynamical systems, both continuous and discrete dynamics and variables, have attracted considerable interest recently. This emerging area is found at the interface of control theory and computer engineering, focusing on the analogue and digital aspects of systems and devices. They are essential for advances in modern digital- controller technology. "Qualitative Theory of Hybrid Dynamical Systems" provides a thorough development and systematic presentation of the foundations and framework for hybrid dynamical systems. The presentation offers an accessible, but precise, development of the mathematical models, conditions for existence of limit cycles, and criteria of their stability. The book largely concentrates on the case of discretely controlled continuous-time systems and their relevance for modeling aspects of flexible manufacturing systems and dynamically routed queuing networks. Features and topics: *differential automata*development and use of the concept "cyclic linear differential automata" (CLDA)*switched single-server flow networks coverage*application to specific models of manufacturing systems and queuing networks*select collection of open problems for the subject*self-contained presentation of topics, with the necessary background This new book is an excellent resource for the study and analysis of hybrid dynamical systems used in systems and control engineering. Researchers, postgraduates and professionals in control engineering and computer engineering will find the book an up-to-date development of the relevant new concepts and tools.

Review

"This study investigates the qualitative behaviour of hybrid systems.... This evolution is described by the coupling of the dynamics of an ODE and that of an automaton. Once the continuous state reaches a prescribed set S, the state of the automaton switches to another state and another ODE is activated. The main theme is the characterization of periodic behaviour of such systems and, when it is obtained, the study of its stability.... This mongraph is an exploration, and its merit is to convince the reader of the difficulty and richness of the topic under investigation." ―Zentralblatt Math