Abstract
The finite-time H∞ control problem is investigated in this paper for a class of discrete-time genetic regulatory networks (GRNs) with random delays. The time-delay is modeled as a Markov chain and the transition probabilities of the jumping process are assumed to be partly unknown transition probabilities. By using a properly constructed Lyapunov function, a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which can guarantee the finite-time stochastic stability, boundedness of the GRN. Then, an optimization problem with LMIs constraints is established to design a finite-time H∞ controller which ensures H∞ disturbance attenuation level. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed 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.
