离散系统Lyapunov第二方法的一些问题

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基金项目: 国家自然科学基金资助的课题

Some Problems of Second Method of Lyapunov in Discrete Systems

摘要: 本文讨论线性时不变离散系统Lyapunov方程解集的几何性质以及分段线性离散系统的稳定性,得出每个子系统都是稳定的分段线性离散系统渐近稳定的一些充分条件,并把这些结果应用于二阶分段线性系统.

Abstract: The geometric properties of the solution set of Lyapunov equation of linear time-invariant discrete system are discussed. Furthermore,the stabitility of piecewise linear discrete systems is studied and some sufficient conditions are obtained for the asymptotical stability of piecewise linear discrete systems in which each sub-system is stable. The results are applied to second order piecewise linear systems.

[1]	Brayton, R.K. and C.H. Tong, Stability of dynamical systems: A constructive approach, IEEE Trans. Circuits System, 26 (1979), 224.
[2]	Chan, K. S. and H. Tong, A note on sub-system stability and system stability, J. Eng. Math., 1 (1984), 43.
[3]	Chan, K. S. and H. Tong, On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations, Adv. Appl. Prob., 17 (1985), 666.
[4]	黄琳,《系统和控制理论中的线性代数》,科学出版社(1984).
[5]	Rockafellar, R. T., Convex Analysis, Princeton University Press (1972).
[6]	Tong, H., ThreshoM Models in Nonlinear Time Series Analysis, Lecture Notes in Statistics 21, Springer-Verlag, Heidelberg (1983).
[7]	Willson, A.N., A stability criterion for nonautonomous difference equations, with application to the design of a digital FSK oscillator, IEEE Trans. Circuits Syst., 21 (1974), 124.

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