有限Morrey空间内一类离散时滞系统的周期解唯一性分析

Uniqueness of Periodic Solutions For A Class of Discrete Time Delay Systems in A Finite Morrey Space

分析有限Morrey空间内离散时滞系统周期解唯一性问题,为该类离散时滞系统控制的稳定性和收敛性提供理论基础。采用微分方程求解和Lyapunove泛函方法进行系统模型构建和特征解求取,构建五次波动微分方程,结合Lyapunov泛函进行有限Morrey空间内离散时滞系统的稳定性分析,在能量超临界情况下,构建有限Morrey空间内一类离散时滞系统的Terminal滑模面,得到在有限时间域内系统具有稳定周期解唯一性条件,进行了周期解的存在性、唯一性和渐进收敛性的判决分析和推导证明,为时滞控制提供理论基础。

The uniqueness of periodic solutions for discrete time delay systems in finite Morrey space isanalyzed, which provides a theoretical basis for the stability and convergence of the control of thediscrete time delay systems. Using differential equation solving and Lyapunove functional method systemmodel construction and characteristic solution obtained, the construction of five times the wavedifferential equation, combined with the Lyapunov functional limited Morrey spaces of discrete timedelaysystems stability analysis, finite Morrey space within a class of discrete when lag system terminalsliding surface, obtained in finite time domain in the system has stable periodic solution uniquenesscondition, the periodic solution existence, uniqueness and gradual convergence of decision analysis anddeduction proof, delay control and provide a theoretical basis.