Title :
Simultaneous stabilization of countable families of nonlinear systems by means of continuous feedback
Author :
Ho-Mock-Qai, Bertina ; Dayawansa, Wijesuríya P.
Author_Institution :
Centre d´´Etudes de la Navigation Aerienne, Toulouse, France
Abstract :
In this paper, we show that given any countable family of general nonlinear systems, there exists a continuous feedback law that simultaneously stabilizes (not asymptotically) the family, if each system of the family is asymptotically stabilizable by means of continuous feedback. For any such family, we find two feedback laws that solve the simultaneous stabilization problem. The first one depends on a partition of unity while the second one is simpler and does not involve any partition of unity
Keywords :
asymptotic stability; feedback; nonlinear control systems; asymptotic stability; continuous feedback; countable families; nonlinear systems; simultaneous stabilization; Control systems; Educational institutions; Feedback; Linear systems; Navigation; Nonlinear systems; Stress control;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574241
