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For linear systems with time-varying input delay and additive disturbances we show that the basic predictor feedback control law is inverse optimal, with respect to a meaningful differential game problem, and establish its robustness to constant multiplicative perturbations appearing at the system input. Both of these properties of the basic predictor feedback controller have not been established...
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...
Simultaneous stabilization for a collection of single-input nonlinear systems with uncertain parameter is dealt with in this paper. Necessary and sufficient conditions that a quadratic control Lyapunov function (CLF) is a common CLF for these systems are acquired. A systematic method to obtain quadratic CLFs by solving the Lyapunov equation is presented. A continuous state feedback control independently...
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