一类具有Markov跳跃参数的不确定混合线性时滞系统鲁棒稳定性研究

讨论了一类具有Markov跳跃参数的不确定混合线性时滞系统的鲁棒稳定性问题．分别给出了非匹配条件下不确定部分范数上界已知时使混合线性系统以概率1渐近稳定的充分条件,和匹配条件下不确定部分范数上界未知时同样可以实现混合系统以概率1渐近稳定的鲁棒自适应控制设计方案．文章研究结果表明,此控制方案对混合线性时滞系统的不确定部分是有效的．

Robust Stability for a Class of Uncertain Hybrid Linear Systems with Time-Delay

In this paper, we deal with the stochastic stability of uncertain hybrid linear systems with Markovian jumping parameters and time delay. Under the assumption of mismatched boundedness of system's uncertainties, sufficient conditions that guarantee asymptotic stability with probability 1 of the system are given, then a parameter adaptive estimation and robust adaptive control law are proposed for unknown upper bounds on the norm of uncertainties that guarantee the asymptotic stability with probability 1 for matched uncertain hybrid systems. The results show that this adaptive control method is useful for uncertain hybrid linear systems with time-delay.