Abstract
Exponentially stabilizing state dependent switching control for a class of continuous-time singular linear systems is studied. The stabilization approaches employ multiple Lyapunov functions and the switching law selects the active mode as to minimize the Lyapunov function along the trajectories of the system with the switching feedback control. Although the singular systems constituting the system modes may be regular and impulse free the trajectory of the controlled system can still exhibit discontinuities at the switching times. It is shown that under the action of the designed switching feedback the corresponding discontinuities in the value of the Lyapunov function preserve its monotonic decrease hence insuring global exponential stabilization.
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.
