This paper is concerned with the stability of uncertain linear systems with mixed neutral and discrete delays. The uncertainty under consideration is of polytopic type. A new analysis approach which combines the descriptor system transformation and relaxation matrix is proposed to derive some less conservative stability criteria. The criteria are dependent on both neutral delay and discrete del...

This paper proposes a new representation for the predictor estimates recursion and corresponding Riccati equation for discrete-time, time-variant descriptor systems. The introduced “9-block” form for the predictor and Riccati equation presents an interesting simple and symmetric structure, which enable us to treat directly the most general systems where state and measurement noises are correlat...

This paper is concerned with a proportional plus derivative (PD) state feedback control problem for discrete and continuous descriptor linear systems. We aim to design a (PD) state feedback controller which guarantees the stability of closed-loop system. The existence of such a controller is determined by developing a necessary and sufficient condition in terms of LMIs. Then, the desired PD sta...