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OALib Journal期刊
ISSN: 2333-9721
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Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems
一组多输入非线性系统的同时镇定(英文)

Keywords: simultaneous stabilization,affine nonlinear system,control Lyapunov function,state feedback
同时镇定
,仿射非线性系统,控制李雅普诺夫函数,状态反馈

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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.

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