基于Lyapunov泛函的状态延迟系统的稳定性

ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465) Pub Date : 1999-07-12 DOI:10.1109/ISIE.1999.796788

Y. Suh, M. Lee

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引用次数: 2

摘要

通过研究Lyapunov泛函的性质，讨论了状态延迟系统的稳定性。首先给出了状态时滞系统Lyapunov泛函方程的有限刻划。有限表征可以使用矩阵指数函数计算，而传统的计算依赖于数值近似。其次，在有限刻画的基础上，给出了具有未知有界常数时滞的状态时滞系统的稳定性条件。

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Stability of state delay systems based on a Lyapunov functional

Stability of state delay systems is discussed by investigating properties of a Lyapunov functional. Firstly finite characterization of a Lyapunov functional equation for state delay systems is proposed. The finite characterization can be computed using a matrix exponential function, while conventional computation has been relied on numerical approximations. Secondly based on the finite characterization, a stability condition for state delay systems with unknown but bounded constant delay is proposed.

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ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465)

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