6533b838fe1ef96bd12a3b9b
RESEARCH PRODUCT
Robust stabilisation of 2D state-delayed stochastic systems with randomly occurring uncertainties and nonlinearities
Zhengrong XiangHamid Reza KarimiZhaoxia Duansubject
Distribution (number theory)Linear matrix inequality (LMI)Linear matrix inequality2D stochastic systems; Linear matrix inequality (LMI); Randomly occurring nonlinearities; Randomly occurring uncertainties; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionBinary numberComputer Science Applications1707 Computer Vision and Pattern RecognitionExpression (computer science)Randomly occurring nonlinearitiesComputer Science ApplicationsTheoretical Computer ScienceNonlinear systemBernoulli's principleControl and Systems EngineeringControl theoryStability theory2D stochastic systemsRandomly occurring uncertaintiesMathematicsdescription
This paper is concerned with the state feedback control problem for a class of two-dimensional (2D) discrete-time stochastic systems with time-delays, randomly occurring uncertainties and nonlinearities. Both the sector-like nonlinearities and the norm-bounded uncertainties enter into the system in random ways, and such randomly occurring uncertainties and nonlinearities obey certain mutually uncorrelated Bernoulli random binary distribution laws. Sufficient computationally tractable linear matrix inequality–based conditions are established for the 2D nonlinear stochastic time-delay systems to be asymptotically stable in the mean-square sense, and then the explicit expression of the desired controller gains is derived. An illustrative example is provided to show the usefulness and effectiveness of the proposed method.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-09-20 | International Journal of Systems Science |