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Comparison methods in control

Record Type:	Electronic resources : Monograph/item
Title/Author:	Comparison methods in control / by George Bitsoris.
Author:	Bitsoris, George.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xvi, 487 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Introduction -- Chapter 2. Stability and Lyapunov theory -- Chapter 3. Representation of connected sets -- Chapter 4. Comparison systems -- Chapter 5. Invariance and contractivity -- Chapter 6. Comparison and Stability -- Chapter 7. The dual comparison principle -- Chapter 8. Control invariance and contractivity -- Chapter 9. Constrained control -- Index.
Contained By:	Springer Nature eBook
Subject:	Control theory. -
Online resource:	https://doi.org/10.1007/978-3-031-76220-8
ISBN:	9783031762208

Comparison methods in control
Bitsoris, George.

Comparison methods in control [electronic resource] /by George Bitsoris. - Cham :Springer Nature Switzerland :2025. - xvi, 487 p. :ill., digital ;24 cm. - Communications and control engineering,2197-7119. - Communications and control engineering..

Chapter 1. Introduction -- Chapter 2. Stability and Lyapunov theory -- Chapter 3. Representation of connected sets -- Chapter 4. Comparison systems -- Chapter 5. Invariance and contractivity -- Chapter 6. Comparison and Stability -- Chapter 7. The dual comparison principle -- Chapter 8. Control invariance and contractivity -- Chapter 9. Constrained control -- Index.

This book presents the theoretical foundations of the comparison approach and demonstrates how this method can be used for the development of techniques for the analysis and design of control systems in the state-space domain. It provides a framework for using the comparison approach to solve fundamental analysis and design problems of control systems, including invariance and contractivity, stability analysis and constrained control. Within this framework, the book shows the reader that the invariance of sets represented by sublevel subsets, the control-invariant regions, the stability properties and the design of constrained controllers for both continuous-time and discrete-time systems can be investigated using comparison systems. The dual approach of analysis and design, based on the representation of state-space regions in terms of a number of generators and a generating function, is developed. Polyhedral invariant sets, polyhedral control invariance, stability analysis using polyhedral Lyapunov functions and constrained control under linear constraints are also investigated. Comparison Methods in Control begins with an introduction and discusses stability, Lyapunov theory, and representation of connected sets. The book progresses through comparison in different contexts, such as comparison and invariance, comparison and stability, dual comparison systems and control invariance. Constrained regulation problems and constrained control of disturbed and parameter uncertain systems are all given equal attention. Researchers and postgraduate students with backgrounds in systems analysis, control and applied mathematics will find this monograph of interest.

ISBN: 9783031762208

Standard No.: 10.1007/978-3-031-76220-8doiSubjects--Topical Terms:

535880
Control theory.

LC Class. No.: QA402.3

Dewey Class. No.: 629.8

Comparison methods in control
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505 0 $a Chapter 1. Introduction -- Chapter 2. Stability and Lyapunov theory -- Chapter 3. Representation of connected sets -- Chapter 4. Comparison systems -- Chapter 5. Invariance and contractivity -- Chapter 6. Comparison and Stability -- Chapter 7. The dual comparison principle -- Chapter 8. Control invariance and contractivity -- Chapter 9. Constrained control -- Index.
520 $a This book presents the theoretical foundations of the comparison approach and demonstrates how this method can be used for the development of techniques for the analysis and design of control systems in the state-space domain. It provides a framework for using the comparison approach to solve fundamental analysis and design problems of control systems, including invariance and contractivity, stability analysis and constrained control. Within this framework, the book shows the reader that the invariance of sets represented by sublevel subsets, the control-invariant regions, the stability properties and the design of constrained controllers for both continuous-time and discrete-time systems can be investigated using comparison systems. The dual approach of analysis and design, based on the representation of state-space regions in terms of a number of generators and a generating function, is developed. Polyhedral invariant sets, polyhedral control invariance, stability analysis using polyhedral Lyapunov functions and constrained control under linear constraints are also investigated. Comparison Methods in Control begins with an introduction and discusses stability, Lyapunov theory, and representation of connected sets. The book progresses through comparison in different contexts, such as comparison and invariance, comparison and stability, dual comparison systems and control invariance. Constrained regulation problems and constrained control of disturbed and parameter uncertain systems are all given equal attention. Researchers and postgraduate students with backgrounds in systems analysis, control and applied mathematics will find this monograph of interest.
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