Finite-time stability for positive Markovian jump systems with partly known transition rates

Author

Jiyang Wang ; Wenhai Qi ; Xianwen Gao

Author_Institution

Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China

fYear

2015

fDate

23-25 May 2015

Firstpage

2412

Lastpage

2415

Abstract

The paper is concerned with finite-time stability for positive Markovian jump systems with partly known transition rates. First, by constructing appropriate linear co-positive Lyapunov-Krasovskii function, sufficient conditions for finite-time stability of underlying system are given. Then, in virtue of the results obtained, an effective method is proposed for the construction of the state feedback controller. All the proposed conditions are derived to ensure the closed-loop Markovian jump system positive and finite-time stability in linear programming. Finally, an example is given to demonstrate the validity of the main results.

Keywords

Lyapunov methods; closed loop systems; linear programming; nonlinear control systems; stability; state feedback; closed-loop Markovian jump system; finite-time stability; linear copositive Lyapunov-Krasovskii function; linear programming; partly known transition rate; positive Markovian jump systems; state feedback controller; Asymptotic stability; Linear programming; Lyapunov methods; Silicon; Stability analysis; State feedback; finite-time stability; linear programming; partly known transition rates; positive Markovian jump systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162325

Filename

7162325