Stability and stabilization for non-homogeneous positive Markovian jump linear systems

被引：1
|
作者：
Jiang P.-F. [1 ]
Zhu J. [1 ]
Xi H.-S. [1 ]
机构：
[1] School of Information Science and Technology, University of Science and Technology of China, Hefei, 230027, Anhui
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2020年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Mean stability; Non-homogeneous; Positive Markovian jump systems; State feedback controller; Switched co-positive Lyapunov functions;
D O I：
10.7641/CTA.2019.80909
中图分类号：
学科分类号：
摘要：
This paper focuses on the stability and stabilization problem for a class of non-homogeneous positive Markovian jump linear systems. The switching of system mode is governed by a non-homogeneous Markov process whose mode transition rates/probabilities matrix (MTRM/MTPM) is time-varying. Besides, the stochastic variation of MTRM/MTPM is governed by a high layer Markov process, then a two-layer Markovian jump model is proposed to characterize such system features. Based on such model, the mean stability criteria for continuous-time and discrete-time systems are given by designing switched linear co-positive Lyapunov functions. Then, a mode-MTRM/MTPM-dependent state feedback controller which can stabilize the closed loop system is designed through a linear programming method. Finally, the effectiveness of the proposed control strategy is verified by two numerical examples. © 2020, Editorial Department of Control Theory & Applications. All right reserved.
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页码：229 / 235
页数：6
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