转移概率部分未知的离散跳变系统稳定性的研究

施蒋彬

摘 要：研究了一類转移概率部分未知的离散Markov跳变系统的稳定性问题。基于依赖型 Lyapunov泛函和自由权矩阵方法，对离散Markov跳变系统的稳定性进行了分析。将自由连接权矩阵引入跳变系统进行证明推导，极大地降低了固定连接权矩阵带来的保守性。

关键词：离散跳变系统 稳定性 自由权矩阵

Research on Stability of Discrete Jump System with Partially Unknown Transition Probability

Shi Jiangbin

Abstract：The article studies the stability of a discrete Markov jump system with partially unknown transition probability. Based on the dependent Lyapunov functional and free weight matrix method， the stability of the discrete Markov jump system is analyzed. The free connection weight matrix is introduced into the jump system for proof and derivation， which greatly reduces the conservativeness brought by the fixed connection weight matrix.

Key words：discrete jump system， stability， free weight matrix