Title :
On the Robust Stability of Unforced Nonlinear Systems
Author :
Zahedzadeh, Vahid ; Marquez, Horacio J. ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Universit, Edmonton, Alta.
Abstract :
A new framework is developed to study the robust stability of nonlinear systems based on operator-theoretic methods. First new representation called zetaA for nonlinear systems is presented. This new representation turns the nonzero initial state stability problem into input-output stability problem for nonlinear systems. In this representation, uncertainty is described as a set of memoryless nonlinearities. Based on this representation, sufficient condition on the robust global stability of nonlinear systems is derived. Using a new definition for local region of local stability, the derived condition for global stability is extended into local robust stability
Keywords :
control nonlinearities; input-output stability; nonlinear control systems; robust control; uncertain systems; input-output stability; operator theory; robust global stability; state stability; unforced nonlinear systems; zetaA representation; Control systems; Feedback; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust stability; Sufficient conditions; USA Councils; Uncertainty;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377066
