Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

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Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

机译：线性时变系统的有限时间稳定性：分析和控制器设计

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The note deals with the finite-time analysis and design problems for continuous-time, time-varying linear systems. Necessary and sufficient conditions and a sufficient condition for finite-time stability are devised. Moreover, sufficient conditions for the solvability of both the state and the output feedback problems are stated. Such results require the feasibility of optimization problems involving Differential Linear Matrix Inequalities. Some numerical examples illustrate the effectiveness of the proposed approach.

机译：该注释涉及连续时间，时变线性系统的有限时间分析和设计问题。设计了有限时间稳定性的充要条件和充分条件。此外，为状态和输出反馈问题的可解性指出了充分的条件。这样的结果要求涉及微分线性矩阵不等式的优化问题的可行性。一些数值示例说明了该方法的有效性。

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《Automatic Control, IEEE Transactions on》 |2010年第4期|p.1003-1008|共6页
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正文语种 eng
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Dynamic output feedback; finite-time stability; linear time-varying systems;

机译：动态输出反馈有限时稳定性线性时变系统;

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Finite-Time Stability of Linear Time-Varying Systems: Analysis and Controller Design

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