Title :
On the input-output stability of nonlinear systems: Large gain theorem
Author :
Zahedzadeh, Vahid ; Marquez, Horacio J. ; Chen, Tongwen
Abstract :
In this paper, minimum gain of an operator is introduced. Moreover, some of its properties are presented. It is proved that the minimum gain of a strictly proper, stable, LTI system is zero. It is also shown that the minimum gain of an operator fails to satisfy the triangular inequality. Finally, the so-called large gain theorem is stated and a new stability condition for feedback interconnection of nonlinear systems is derived.
Keywords :
feedback; input-output stability; nonlinear control systems; LTI system; feedback interconnection; input-output stability; large gain theorem; nonlinear systems; triangular inequality; Control systems; Control theory; Electronic switching systems; Feedback loop; Nonlinear control systems; Nonlinear systems; Robust control; Robust stability; State feedback; Time varying systems; Nonlinear systems; continuous-time systems; discrete-time systems; induced operator norms; small-gain theorem;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587025
