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In this paper, the problems of finite-time stability for both discrete-time and continuous-time switched linear systems are studied. Largest region function strategy is adopted to design the switching logic, i.e., state-dependent switching rule, which is different from the existing approach that is based on time-dependent switching strategy. Some sufficient conditions are provided for finite-time...
This paper investigates stability and stabilization of positive switched systems under asynchronous switching, which means that the switching of the controller has a delay to that of the system mode. First, two sufficient conditions for the stability of autonomous systems are established. The first one is obtained by using the linear copositive Lyapunov function incorporated with linear programming...
The set invariance problem is discussed for actuator saturation uncertain systems with disturbance. Under the linear state feedback control, the new condition of invariance ellipsoid is given for the addressed systems. By using composite quadratic Lyapunov function method and combining the convex additivity of linear matrix, it is shown that the convex hull of some invariant ellipsoids is also an...
This paper presents the coarsest static quantizer for discrete-time system with delayed-input channel under quadratic stability. With augmentation of the system state and the delayed input, a new system without time delay in the input can be rebuilt. Based on the quadratic stability equivalence of the original system and the rebuilt system, using the isomorphism of the two corresponding admissible...
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