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中国科学院研究生院学报 2006
Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems
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Abstract:
This paper considers the problem of designing a controller that simultaneously stabilizes a collection of multi-input nonlinear systems.Based on the technique of control Lyapunov function,a sufficient condition for the existence of time-invariant simultaneously stabilizing state feedback controller is obtained.A universal formula for constructing a continuous controller which simultaneously stabilizes the systems is derived.The result extends the existing one in Ref.1 for the single-input case.