Abstract
The problem of periodically intermittent stabilization of a class of uncertain time‐delay systems is investigated. Two cases of time‐varying delays are considered: the fast‐varying delays and the slowly‐varying delays. For the former case, a piecewise exponential‐type Lyapunov function combined with a novel Razumikhin‐type technique is proposed to analyze the stability of the periodically intermittently controlled systems. For the latter case, the stability analysis is performed by employing a piecewise time‐dependent exponential‐type Lyapunov functional. The exponential‐type Lyapunov functions/functionals are able to capture more information on switching modes than the conventional Lyapunov functions/functionals, and thus lead to less conservative stability criteria. Next, based on the newly established stability criteria, novel sufficient conditions on the existence of periodically intermittent feedback controllers are presented in terms of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.