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In this paper, the problem of robust filter design for uncertain continuous-time systems is investigated in the context of finite time stability. The filter is obtained in order to guarantee that the augmented system is finite time stable. The system is considered time varying with the parameters modeled by a polytope. The design conditions obtained by means of Lyapunov functions are expressed as...
This paper provides new delay-and-delay-derivative-dependent criteria for systems with the delay and its derivative varying within intervals. With introduction of new Lyapunov-Krasovskii functionals, a less conservative upper bound for the maximum delay is achieved. Examples show that the resulting criteria outperform previously published results in the literature.
For stability analysis of discrete-time descriptor systems, various generalized Lyapunov equations have been proposed in the literature. However, positiveness of the solutions for these well known Lyapunov equations are not biunivocaly related to causal state trajectories that go to zero as the time goes to infinity, even under observability assumptions. We propose in this paper two new Lyapunov equations...
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