Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay
Document Type
Article
Publication Date
11-1-2018
Abstract
This work studies the stochastic stability of Markovian jump linear systems in a communication network-based environment. By modeling quantization density as well as the sensor-to-controller and controller-to-actuator delays as Markov chains, the closed-loop networked control systems are expressed as switched linear systems. The necessary and sufficient conditions of stochastic stability are derived. By solving a set of linear matrix inequalities with matrix inversion constraints, this work presents a three-mode-dependent state-feedback controller. Its control performance is illustrated via a numerical example.
Identifier
85049331882 (Scopus)
Publication Title
Physica A Statistical Mechanics and Its Applications
External Full Text Location
https://doi.org/10.1016/j.physa.2018.06.074
ISSN
03784371
First Page
1128
Last Page
1139
Volume
509
Grant
17YJC630093
Fund Ref
Ministry of Education
Recommended Citation
Wang, Jufeng; Zhou, Meng Chu; and Liu, Chunfeng, "Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay" (2018). Faculty Publications. 8282.
https://digitalcommons.njit.edu/fac_pubs/8282
