Title :
On a small gain theorem for ISS networks in dissipative Lyapunov form
Author :
Dashkovskiy, Sergey ; Ito, Hiroshi ; Wirth, Fabian
Author_Institution :
Dept. of Math. & Comput. Sci., Univ. of Bremen, Bremen, Germany
Abstract :
In this paper we consider several interconnected ISS systems supplied with ISS Lyapunov functions defined in the dissipative form. Our aim is to construct an ISS Lyapunov function for the interconnection. We provide a condition of a small gain type under which this construction is possible and describe a method of an explicit construction of such an ISS Lyapunov function.
Keywords :
Lyapunov methods; nonlinear control systems; ISS Lyapunov function; ISS networks; dissipative Lyapunov form; dissipative form; interconnected ISS systems; small gain theorem; Europe; Interconnected systems; Linear matrix inequalities; Lyapunov methods; Stability analysis; Trajectory; Vectors;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
