Finite-time stabilisation for a class of time-delayed Markovian jumping systems with conic non-linearities

被引：20
作者：
Nie, Rong [1 ]
He, Shuping [1 ]
Luan, Xiaoli [2 ]
机构：
[1] Anhui Univ, Sch Elect Engn, Signal Proc Minist Educ, Key Lab Intelligent Comp,Automat, Hefei 230601, Anhui, Peoples R China
[2] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 09期
关键词：
closed loop systems; Markov processes; asymptotic stability; control system synthesis; delays; Lyapunov methods; linear matrix inequalities; uncertain systems; nonlinear control systems; stochastic systems; finite-time stabilisation controller; time-delayed Markovian jumping systems; closed-loop system; conic nonlinearities; control law; Lyapunov-Krasovskii functional method; ROBUST EXPONENTIAL STABILITY; DISTURBANCE ATTENUATION; MULTIAGENT SYSTEMS; OBSERVER DESIGN; LINEAR-SYSTEMS; EQUATIONS; FAULT;
D O I：
10.1049/iet-cta.2018.5489
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The finite-time stabilisation for a class of time-delayed Markovian jumping systems with conic nonlinearities is studied. The authors aim to design a suitable control law to stabilise the closed-loop system during a specified finite time. An appropriate Lyapunov-Krasovskii functional method is given to ensure the existence of finite-time stabilisation controller and the relevant sufficient conditions have been formulated in the form of linear matrix inequalities. Finally, a simulation example is given to show the effectiveness of the proposed design approach.
引用
收藏
页码：1279 / 1283
页数：5
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