Stochastic H∞ finite-time control for linear neutral semi-Markovian jumping systems under event-triggering scheme

2020 ◽  
Author(s):  
Yuanyuan Ju ◽  
Guifang Cheng ◽  
Zhishuai Ding
Keyword(s):  
Finite Time ◽  
Markovian Jumping ◽  
Time Control ◽  
Markovian Jumping Systems ◽  
Event Triggering

scholarly journals Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Chao Ma
Keyword(s):  
Finite Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jumping ◽  
Markovian Jumping Systems ◽  
The Mean ◽  
Delay Dependent ◽  
Passivity And Passification ◽  
Theoretical Results

This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results.

Finite-time control of periodic systems with event-triggering mechanisms

2020 ◽  
Vol 14 (8) ◽  
pp. 1012-1021
Author(s):  
Liu Yang ◽  
Yabin Gao ◽  
Yuxin Zhao ◽  
Ligang Wu
Keyword(s):  
Finite Time ◽  
Periodic Systems ◽  
Time Control ◽  
Event Triggering ◽  
Triggering Mechanisms

scholarly journals Resilient - Filtering of Uncertain Markovian Jumping Systems within the Finite-Time Interval

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Shuping He
Keyword(s):  
Finite Time ◽  
Estimation Error ◽  
Sufficient Conditions ◽  
Optimization Techniques ◽  
Linear Matrix ◽  
Time Interval ◽  
Finite Time Interval ◽  
Markovian Jumping ◽  
Markovian Jumping Systems ◽  
Finite Time Boundedness

This paper studies the resilient - filtering problem for a class of uncertain Markovian jumping systems within the finite-time interval. The objective is to design such a resilient filter that the finite-time - gain from the unknown input to an estimation error is minimized or guaranteed to be less than or equal to a prescribed value. Based on the selected Lyapunov-Krasovskii functional, sufficient conditions are obtained for the existence of the desired resilient - filter which also guarantees the stochastic finite-time boundedness of the filtering error dynamic systems. In terms of linear matrix inequalities (LMIs) techniques, the sufficient condition on the existence of finite-time resilient - filter is presented and proved. The filter matrices can be solved directly by using the existing LMIs optimization techniques. A numerical example is given at last to illustrate the effectiveness of the proposed approach.

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