Finite-time asynchronous control for positive discrete-time Markovian jump systems

2019 ◽  
Vol 13 (7) ◽  
pp. 935-942 ◽  
Author(s):  
Hui Shang ◽  
Wenhai Qi ◽  
Guangdeng Zong
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Asynchronous Control ◽  
Jump Systems

scholarly journals Finite-Time Stabilization for Discrete-Time Delayed Markovian Jump Systems with Partially Delayed Actuator Saturation

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Guoliang Wang ◽  
Bo Feng
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Controller Design ◽  
Actuator Saturation ◽  
Probability Distributions ◽  
Sufficient Conditions ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Time Control ◽  
Jump Systems

The finite-time control problem of discrete-time delayed Markovian jump systems with partially delayed actuator saturation is considered by a mode-dependent parameter approach. Different from the traditionally saturated actuators, a kind of saturated actuator being partially delay-dependent is firstly proposed, where both nondelay and delay states are included and occur asynchronously. Moreover, the probability distributions of such two terms are described by the Bernoulli variable and are taken into account in the controller design. Sufficient conditions for the existence of the desired controller are presented with LMIs. Finally, a numerical example is provided to show the effectiveness and superiority of the obtained results.

Finite-time H∞ filtering for discrete-time Markovian jump systems with partly unknown transition probabilities

2013 ◽  
Vol 91 (12) ◽  
pp. 1020-1028 ◽  
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang ◽  
Guihua Li
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Partial Information ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Partly Unknown Transition Probabilities ◽  
Stability And Stabilization ◽  
Jump Systems

This paper addresses the problems of finite-time stochastic stability and stabilization for linear Markovian jump systems subject to partial information on the transition probabilities. By introducing bounded finite time and stochastic character, sufficient conditions that can ensure bounded finite time and H∞ finite-time bounded filtering are derived. Finally, an example is given to illustrate the efficiency of the proposed method.

scholarly journals Robust Finite-Time $H_{{\infty}}$ Filtering for Uncertain Discrete-Time Nonhomogeneous Markovian Jump Systems

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 52561-52569 ◽  
Author(s):  
Lixue Wang ◽  
Xiaobin Gao ◽  
Shuting Cai ◽  
Xiaoming Xiong
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems
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