In this chapter, various results concerning the stability of dissipative systems are presented. First, the input/output properties of several feedback interconnections of passive, negative imaginary, maximal monotone systems are reviewed. Large-scale systems are briefly treated. Then the conditions under which storage functions are Lyapunov functions are given in detail. Results on stabilization, equivalence to a passive system, input-to-state stability, and passivity of linear delay systems are then provided. The chapter ends with an introduction to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{\infty }$$\end{document} theory for nonlinear systems that is related to a specific dissipativity property, and with a section on Popov’s hyperstability.
Stability of Dissipative Systems
Communicat., Control Engineering
03.07.2019
71 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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