We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Finite-time stabilisation for Markov jump systems with Gaussian transition probabilities.
- Authors
Xiaoli Luan; Peng Shi; Fei Liu
- Abstract
The problems of finite-time analysis and design for a class of Markov jump systems with Gaussian transition probabilities (TPs) are investigated in this study. Gaussian TP density function is introduced to quantise the stochastic uncertain information of TPs. Mode-dependent and variation-dependent controller is designed to make the resulting closedloop systems finite-time bounded and finite-time stabilisable for all admissible unknown external disturbances and random uncertain TPs. It is shown that the approach proposed in the paper dealing with TPs outperforms available ones in literature to date, which is also confirmed by a numerical example.
- Subjects
PROBABILITY theory; MARKOV processes; GAUSSIAN processes; DENSITY functionals; STOCHASTIC processes
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2013, Vol 7, Issue 2, p298
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2012.0509