Title :
Integral input-to-state stability of bilinear infinite-dimensional systems
Author :
Mironchenko, Andrii ; Ito, Hiroshi
Author_Institution :
Dept. of Syst. Design & Inf., Kyushu Inst. of Technol., Iizuka, Japan
Abstract :
We prove that uniform global asymptotic stability of bilinear infinite-dimensional control systems is equivalent to their integral input-to-state stability. Next we present a method for construction of iISS Lyapunov functions for such systems if the state space is a Hilbert space. Unique issues arising due to infinite-dimensionality are highlighted.
Keywords :
Hilbert spaces; Lyapunov methods; asymptotic stability; bilinear systems; multidimensional systems; Hilbert space; bilinear infinite-dimensional control systems; iISS Lyapunov function construction; integral input-to-state stability; state space; uniform global asymptotic stability; Asymptotic stability; Control systems; Equations; Hilbert space; Linear systems; Lyapunov methods; Nonlinear systems; Lyapunov methods; bilinear systems; infinite-dimensional systems; integral input-to-state stability;
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.2014.7039876
