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对混杂随机系统的状态反馈控制近年来引起了广泛的关注.一个更现实也更经济的情况是对状态的观测不是连续时间而是离散时间的.同时,现实中绝大多数的观测和反馈系统都或多或少会存在时滞现象.因此,讨论这种基于离散时间观测同时带有观测反馈时滞的混杂随机系统的反馈控制是很有意义的.特别地,通过使用一个李雅普诺夫泛函,不仅可以得到H无穷稳定、渐近稳定和指数稳定,而且还能显著地改善对时滞上界的要求.本文是文献[20]工作的深入和推广.
State feedback control of hybrid stochastic systems has drawn wide attention in recent years.A more realistic and economical case is that the state observations are not continuous but discrete time.At the same time, most observational and feedback systems Are all more or less time-lag.Therefore, it is significant to discuss the feedback control of hybrid stochastic systems with discrete time observations and observation feedback delays, especially, by using a Lyapunov Not only can get H infinite stability, asymptotic stability and exponential stability, but also can significantly improve the upper bound of the time-delay requirements.This paper is the work of literature [20] in-depth and promotion.