Abstract
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.
Original language | English |
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Pages (from-to) | 574-578 |
Number of pages | 5 |
Journal | IEEE Transactions on Automatic Control |
Volume | 49 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2004 |
Externally published | Yes |