Quadratic Stability of a Class of Switched Nonlinear Systems
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 49, NO. 4, APRIL 2004，-0001，（）：
Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.
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