The problem of stochastic finite-time guaranteed cost control is investigated for Markovian jumping singular systems with uncertain transition probabilities, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, the definitions of stochastic singular finitetime stability, stochastic singular finite-time boundedness, and stochastic singular finite-time guaranteed cost con...

This paper focuses on the hybrid output-feedback guaranteed cost H∞ robust control problem for a class of uncertain linear systems. Time-varying uncertainties are contained in both the state matrix and input matrix. Suppose there exist a finite number of candidate controllers with known controller gain matrices and none of the controllers can solve the guaranteed cost H∞ robust control problem....

The guaranteed cost control problem of the decentralized robust control for nonlinear large– scale uncertain delay systems under controller gain perturbations is considered. Sufficient condition for the existence of the guaranteed cost control is given in terms of the linear matrix inequality (LMI). It is shown that the decentralized local state feedback controllers can be obtained by solving t...

Abstract: This paper concerns delay-dependent guaranteed cost control (GCC) problem for a class of linear state-delayed systems with norm-bounded time-varying parametric uncertainties. By incorporating the free weighing matrix approach developed recently, new delay-dependent conditions for the existence of the guaranteed cost controller are presented in terms of matrix inequalities for both nom...

This contribution considers the guaranteed cost control for a class of linear uncertain time-delay switched singular systems under arbitrary switching laws with a given quadratic performance index. Based on a Lyapunov function approach and a linear matrix inequality (LMI) technique, a sufficient condition on the existence of guaranteed cost state feedback controllers is derived, which ensures t...