Observer-Based Distributed Mean-Square Consensus Design for Leader-Following Multiagent Markov Jump Systems

2019 ◽  
pp. 1-8 ◽  
Author(s):  
Shanling Dong ◽  
Wei Ren ◽  
Zheng-Guang Wu
Keyword(s):  
Mean Square ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Leader Following ◽  
Jump Systems ◽  
Mean Square Consensus

scholarly journals Spectral Perspective on the Stability of Discrete-Time Markov Jump Systems with Multiplicative Noise

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Ting Hou ◽  
Weihai Zhang ◽  
Hongji Ma
Keyword(s):  
Discrete Time ◽  
Multiplicative Noise ◽  
Mean Square ◽  
Critical Stability ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Mean Square Stability ◽  
Lyapunov Operator ◽  
The Stability ◽  
Jump Systems

We apply the spectrum analysis approach to address the stability of discrete-time Markov jump systems with state-multiplicative noise. In terms of the spectral distribution of a generalized Lyapunov operator, spectral criteria are presented to testify three different kinds of stochastic stabilities: asymptotic mean square stability, critical stability, and essential instability.

scholarly journals H∞ Control for Nonlinear Infinite Markov Jump Systems

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Yueying Liu ◽  
Ting Hou
Keyword(s):  
Stochastic Systems ◽  
Design Method ◽  
Infinite Horizon ◽  
Mean Square ◽  
State Control ◽  
Markov Jump ◽  
Nonlinear Stochastic Systems ◽  
Markov Jump Systems ◽  
Jump Systems ◽  
Infinite State

In this paper, we discuss the infinite horizon H∞ control problem for a class of nonlinear stochastic systems with state, control, and disturbance dependent noise. The jumping parameters are modelled as an infinite-state Markov chain. Based on the solvability of a set of coupled Hamilton-Jacobi inequalities (HJIs), the exponential mean square H∞ controller for the considered nonlinear stochastic systems is obtained. A numerical example is given to show the effectiveness of the proposed design method.

Finite-region asynchronous H∞ control for 2D Markov jump systems

Automatica ◽  
2021 ◽  
Vol 129 ◽  
pp. 109590
Author(s):  
Peng Cheng ◽  
Shuping He ◽  
Xiaoli Luan ◽  
Fei Liu
Keyword(s):  
Finite Region ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems
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