Abstract

This paper deals with the robust stabilization problem for uncertain linear systems. We use the class of the polyhedral norms, or more generally that of the polyhedral gauge functions, as candidate Lyapunov functions. These functions have the noteworthy property that if the problem of stabilizing a certain system can be solved via Lyapunov functions and a continuous state feedback control, then there exist a polyhedral Lyapunov function and a piecewise-linear control which solve the problem. A synthesis technique to construct the control and the Lyapunov function is proposed. >

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.