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
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;
Conference_Titel :
Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
Conference_Location :
Los Angeles, CA
Print_ISBN :
978-1-4799-7746-8
DOI :
10.1109/CDC.2014.7039703
