Practical stability of time delay systems: LMI's approach

— In this paper we discuss the practical stability of a class of time delay systems with an unstable equilibrium. We obtain sufficient conditions based on Lyapunov-Krasovskii functionals stated in terms of the feasibility of LMI’s. A “Practical” exponential estimate of the solution is also obtained. The result is extended to the practical stabilization and to the case of systems with multiple delays.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Raul Villafuerte, Sabine Mondie, Alexander S. Poznyak
• Keywords: CDC 2008, Control Systems, Practical Stability, Time Delay Systems, Unstable Equilibrium