Abstract

The problems of finite-time stochastic boundedness and robust H ∞ control for stochastic singular systems are investigated in this paper. Firstly, sufficient conditions of finite-time stochastic boundedness on state feedback are obtained for the family of stochastic singular systems with parametric uncertainties and external disturbance. And then, designed state feedback controller is provided to guarantee that the underlying closed-loop stochastic singular system is robust H ∞ finite-time stochastic boundedness in terms of strict linear matrix equalities with a fixed parameter. Finally, a simulation example is presented to illustrate the effectiveness of the obtained results.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.