Stochastic finite-time L1-gain control for positive Markov jump linear systems with interval time-varying delay

2017 ◽  
Author(s):  
Lang Ma ◽  
Shuqian Zhu
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Gain Control ◽  
Time Varying ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Interval Time ◽  
Time Varying Delay ◽  
Markov Jump Linear Systems ◽  
Varying Delay

scholarly journals Further Results on Stability Analysis of Discrete-Time Markov Jump Linear Systems with Time-Varying Delay and Partly Known Transition Probabilities

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Xingang Zhao ◽  
Jianda Han ◽  
Yiwen Zhao
Keyword(s):  
Stability Analysis ◽  
Transition Probabilities ◽  
Upper Bounds ◽  
Time Varying ◽  
Lower And Upper Bounds ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Time Varying Delay ◽  
Markov Jump Linear Systems ◽  
Varying Delay

This paper is concerned with the stability analysis of discrete-time Markov jump linear systems (MJLSs) with time-varying delay and partly known transition probabilities. The time delay is varying between lower and upper bounds, and the partly known transition probabilities cover the cases of known, uncertain with known lower and upper bounds, and completely unknown, which is more general than the existing result. Via constructing an appropriate Lyapunov function and employing a new technique to separate Lyapunov variables from unknown transition probabilities, a novel stability criterion is obtained in the framework of linear matrix inequality. A numerical example is given to show the effectiveness of the proposed approach.

scholarly journals Finite-Timel1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shuo Li ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Gain Control ◽  
Delta Operator ◽  
Time Varying ◽  
Operator Approach ◽  
Time Varying Delay ◽  
Positive Switched Systems ◽  
Varying Delay

This paper is concerned with the problem of finite-timel1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee thel1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with anl1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document