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不稳定线性切换系统的优化切换镇定 被引量:1

Optimal stabilization of unstable linear switched systems via switching strategy
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摘要 讨论了不稳定线性切换系统的镇定问题 ,在范数下降集概念的基础上 ,提出范数下降极小时间概念 ,得出不稳定切换系统的优化切换镇定条件和策略。当系统满足一定条件时 ,这种切换策略能使不稳定切换系统Lyapunov渐近稳定。 The problem of stablization about unstable linear switched systems are studied.Based on the conception of norm decreasing set,norm decreasing minimal time is derived.Then the optimal switching stabilizing conditions and strategies of unstable linear switched systems are given.When the systems satisfy some conditions,the unstable systems can be Lyapunov asymptotically stable through the switching strategies. Finally, an example is given to show the validity of the switching control strategy.
出处 《陕西工学院学报》 2002年第3期56-59,共4页 Journal of Shaanxi Institute of Technology
基金 陕西省自然科学基金资助项目 (2 0 0 1SL0 8)
关键词 不稳定线性切换系统 范数下降极小时间 优化切换镇定 范数下降集 Lyapunov渐近稳定 切换控制 unstability linear switching system norm decreasing minimal time optimal switching stabilization
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