轉移概率部分未知的離散跳變系統穩定性的研究

施蔣彬

摘 要：研究了一類轉移概率部分未知的離散Markov跳變系統的穩定性問題。基于依賴型 Lyapunov泛函和自由權矩陣方法，對離散Markov跳變系統的穩定性進行了分析。將自由連接權矩陣引入跳變系統進行證明推導，極大地降低了固定連接權矩陣帶來的保守性。

關鍵詞：離散跳變系統 穩定性 自由權矩陣

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