Abstract
In this paper, we investigate the regulation problem for linear discrete-time delay systems with Markovian jumps and constrained control. The constraints used here are of non symmetrical inequality type. A sufficient condition of stochastic stability of a closed loop system is derived. We use the positive invariance approach of the common set for all the modes to guarantee the admissibility of the control law. In the case of one mode, we obtain the condition of stability for a linear discrete-time delay system as known in the literature. A numerical example is given to illustrate the theoretic results.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
