DocumentCode
114736
Title
Stability of nonlinear infinite dimensional impulsive systems and their interconnections
Author
Dashkovskiy, Sergey ; Mironchenko, Andrii
Author_Institution
Erfurt Univ. of Appl. Sci., Erfurt, Germany
fYear
2014
fDate
15-17 Dec. 2014
Firstpage
2071
Lastpage
2076
Abstract
We consider input-to-state stability (ISS) of nonlinear infinite dimensional impulsive systems with an emphasis on interconnections of such systems. Stability conditions as a combination of Lyapunov methods and dwell-time inequalities are provided. For stability of interconnections a further condition of a small-gain type comes into play. We illustrate these results on an interconnection of two semilinear parabolic equations.
Keywords
Lyapunov methods; multidimensional systems; nonlinear control systems; parabolic equations; stability; ISS; Lyapunov methods; dwell-time inequalities; input-to-state stability; interconnection stability; nonlinear infinite dimensional impulsive systems; semilinear parabolic equations; Equations; Generators; Interconnected systems; Lyapunov methods; Mathematical model; Stability criteria; Lyapunov methods; impulsive systems; infinite-dimensional systems; input-to-state stability; nonlinear control systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location
Los Angeles, CA
Print_ISBN
978-1-4799-7746-8
Type
conf
DOI
10.1109/CDC.2014.7039703
Filename
7039703
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