Title :
Stability of nonlinear asynchronous systems
Author :
De la Peña, David Mu ñoz ; Christofides, Panagiotis D.
Author_Institution :
California Univ., Los Angeles
Abstract :
In this work, we focus on a class of nonlinear asynchronous systems defined by two different modes of operation, one stable and the other one unstable. The switching between the two modes of operation is driven by external asynchronous events. It is assumed that on any time interval of a given length, the maximum time in which the system evolves in the unstable mode is bounded. This property is given in the form of a rate constraint. Under this assumption, we study the behavior of this class of systems and provide existential results of conditions on this rate constraint under which various types of stability of the origin of the nonlinear asynchronous system can be assured.
Keywords :
nonlinear control systems; stability; time-varying systems; nonlinear asynchronous system; stability; switching system; Communication switching; Communication system control; Control system synthesis; Control systems; Differential equations; Linear systems; Nonlinear control systems; Nonlinear systems; Stability; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434295