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The robust stabilization via state feedback for time-delays discrete-time singular systems with parameter uncertainties is discussed. Under a series of equivalent transformation, the equivalence between this problem and the robust stabilization via state feedback for uncertain standard state-space discrete-time linear systems with time-delays is obtained.(More)
BACKGROUND Observational epidemiological studies have shown a positive association between hypertension and risk of incident dementia; however, the effects of antihypertensive therapy on cognitive function in controlled trials have been conflicting, and meta-analyses of the trials have not provided clear evidence of whether antihypertensive treatment(More)
In this note, a singular linear quadratic (LQ) problem for nonregular descriptor systems is investigated. Under some general conditions, the optimal control and the optimal state of the LQ problem are given. The optimal control is synthesized as state feedback. All the finite eigenvalues of the closed-loop system are located on the left-half complex plane.(More)
Abstract—The stochastic stability and robust stochastic stabilization for time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on stochastic Lyapunov functional, a delay-dependent linear matrix inequalities (LMIs) condition for the time-delay discrete Markovian jump singular systems to be regular, causal and(More)
Abstract—In this paper, sufficient conditions which guarantee that the discrete-time singular systems with actuator saturation are admissible with γdisturbance attenuation are established. With these conditions, the estimation of stability region, state feedback design and H∞ state feedback controllers are obtained by solving corresponding LMIs optimization(More)
This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and(More)
Abstract—The quadratic control problem for discrete-time singular Markov jump systems with parameter uncertainties is discussed. The weighting matrix in quadratic cost function is indefinite. For full and partial knowledge of transition probabilities cases, state feedback controllers are designed based on linear matrix inequalities (LMIs) methods which(More)