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Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems

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4 Author(s)
Chang-Hong Wang ; Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., China ; Li-Xian Zhang ; Hui-Jun Gao ; Li-Gang Wu

This paper concerns the problems of stability and stabilization of a class of continuous-time linear switched systems with time-varying delays in the state. A delay-dependent stability criterion is formulated in terms of a set of linear matrix inequalities by constructing a piecewise quadratic Lyapunov function (PWQLF). Based on the stability result, the stabilization condition is obtained, and an algorithm involving convex optimization is adopted to find a set of memoryless state-feedback controllers such that system can be stabilized under a suboptimal maximal delay solved by the algorithm.

Published in:

2005 International Conference on Machine Learning and Cybernetics  (Volume:2 )

Date of Conference:

18-21 Aug. 2005