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$L_1$-Stochastic Stability and $L_1$-Gain Performance of Positive Markov Jump Linear Systems With Time-Delays: Necessary and Sufficient Conditions.
- Source :
-
IEEE Transactions on Automatic Control . Jul2017, Vol. 62 Issue 7, p3634-3639. 6p. - Publication Year :
- 2017
-
Abstract
- This paper is concerned with $L_1$-stochastic stability and $L_1$-gain performance analysis of a continuous-time positive Markov jump linear system with a time-delay. By constructing a novel linear co-positive stochastic Lyapunov functional based on the positivity of the system, and characterizing the system equation of the mathematical expectation of the markovianized states, some necessary and sufficient delay-dependent conditions for $L_1$-stochastic stability and $L_1$-gain performance are presented in terms of linear programming. A numerical example is provided for showing the effectiveness of the obtained conditions, especially for exploring and revealing both the negative effect and the positive effect of the time-delay on stochastic stability of the positive Markov jump linear system with a time-delay. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 62
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 123806415
- Full Text :
- https://doi.org/10.1109/TAC.2017.2671035