Dissipativity Analysis for Singular Time-Delay Systems Via State Decomposition Method

2020 ◽  
Vol 50 (10) ◽  
pp. 3936-3942 ◽  
Author(s):  
Ya-Li Zhi ◽  
Yong He ◽  
Min Wu ◽  
Qingping Liu
Keyword(s):  
Time Delay ◽  
Decomposition Method ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Dissipativity Analysis ◽  
Singular Time

α-Dissipativity analysis of singular time-delay systems

Automatica ◽  
2011 ◽  
Vol 47 (11) ◽  
pp. 2548-2552 ◽  
Author(s):  
Zhiguang Feng ◽  
James Lam ◽  
Huijun Gao
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Dissipativity Analysis ◽  
Singular Time

Linear Quadratic Nash Game of Stochastic Singular Time-Delay Systems with Multiple Decision Makers

2015 ◽  
Vol 3 (5) ◽  
pp. 472-480
Author(s):  
Huainian Zhu ◽  
Guangyu Zhang ◽  
Chengke Zhang ◽  
Ying Zhu ◽  
Haiying Zhou
Keyword(s):  
Time Delay ◽  
Decision Makers ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Linear Quadratic ◽  
Nash Game ◽  
Multiple Decision Makers ◽  
Nash Strategies ◽  
Singular Time

AbstractThis paper discusses linear quadratic Nash game of stochastic singular time-delay systems governed by Itô’s differential equation. Sufficient condition for the existence of Nash strategies is given by means of linear matrix inequality for the first time. Moreover, in order to demonstrate the usefulness of the proposed theory, stochastic H2∕H∞control with multiple decision makers is discussed as an immediate application.

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