Title :
Stability of networks of hybrid ISS systems
Author :
Dashkovskiy, Sergey ; Kosmykov, Michael
Author_Institution :
Fac. of Math. & Comput. Sci., Univ. of Bremen, Bremen, Germany
Abstract :
Interconnection of several hybrid input-to-state stable (ISS) systems is considered in this paper. We ask under what condition is such an interconnection stable and how an ISS-Lyapunov function can be constructed for the whole interconnection. Small-gain condition to assure stability is given. A construction of an ISS-Lyapunov function for the whole system is provided under the small-gain condition.
Keywords :
Lyapunov methods; stability; ISS-Lyapunov function; hybrid ISS systems; input-to-state stable system; network stability; small-gain condition; Computer science; Mathematics; Robust stability; Stability analysis;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400628
