DocumentCode
695934
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
fYear
2009
fDate
23-26 Aug. 2009
Firstpage
1077
Lastpage
1082
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2009 European
Conference_Location
Budapest
Print_ISBN
978-3-9524173-9-3
Type
conf
Filename
7074548
Link To Document