scholarly journals $H_{\infty}$ Synchronization for Fuzzy Markov Jump Chaotic Systems with Piecewise-Constant Transition Probabilities Subject to PDT Switching Rule

2020 ◽  
pp. 1-1 ◽  
Author(s):  
Jing Wang ◽  
Jianwei Xia ◽  
Hao Shen ◽  
Mengping Xing ◽  
Ju H. Park
Keyword(s):  
Chaotic Systems ◽  
Transition Probabilities ◽  
Markov Jump ◽  
Piecewise Constant ◽  
Switching Rule

scholarly journals Stabilisation of Discrete-Time Piecewise Homogeneous Markov Jump Linear System with Imperfect Transition Probabilities

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Ding Zhai ◽  
Liwei An ◽  
Jinghao Li ◽  
Qingling Zhang
Keyword(s):  
Linear System ◽  
Discrete Time ◽  
Transition Probabilities ◽  
Feedback Controller ◽  
Sufficient Condition ◽  
Markov Jump ◽  
Stochastically Stable ◽  
Lyapunov Matrix ◽  
The Stability ◽  
Markov Jump Linear System

This paper is devoted to investigating the stability and stabilisation problems for discrete-time piecewise homogeneous Markov jump linear system with imperfect transition probabilities. A sufficient condition is derived to ensure the considered system to be stochastically stable. Moreover, the corresponding sufficient condition on the existence of a mode-dependent and variation-dependent state feedback controller is derived to guarantee the stochastic stability of the closed-loop system, and a new method is further proposed to design a static output feedback controller by introducing additional slack matrix variables to eliminate the equation constraint on Lyapunov matrix. Finally, some numerical examples are presented to illustrate the effectiveness of the proposed methods.

scholarly journals New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-15 ◽  
Author(s):  
Tao Wu ◽  
Jinde Cao ◽  
Lianglin Xiong ◽  
Haiyang Zhang
Keyword(s):  
Stability Condition ◽  
Chaotic Systems ◽  
Transition Rates ◽  
Sampled Data ◽  
Markov Jump ◽  
Data Control ◽  
The Stability ◽  
Generally Uncertain Transition Rates ◽  
Delay Dependent ◽  
Sampling Pattern

This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples.

Sign in / Sign up

Export Citation Format

Share Document