IMPROVED DELAY-DEPENDENT ROBUST EXPONENTIAL STABILIZATION CRITERIA FOR UNCERTAIN TIME-VARYING DELAY SINGULAR SYSTEMS

摘要

This paper is concerned with the stability and stabilization for singular systems with time-varying delay. Firstly, by defining a novel Lyapunov function, a delay-dependent stability criterion, which ensures that the nominal unforced singular time-varying delay system is regular, impulse free and asymptotically stable, is established in terms of integral inequality approach (IIA) and linear matrix inequalities (LMIs). Then based on the obtained criteria, the exponential robust stability and stabilization problems are solved and the explicit expressions of the desired state feedback control laws are also given. Numerical examples are given to demonstrate the effectiveness and the benefits of the obtained results.