Local Stabilization for Discrete-Time Systems With Distributed State Delay and Fast-Varying Input Delay Under Actuator Saturations

Finite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

New Robust Stability Criteria for Uncertain Neutral Time-Delay Systems With Discrete and Distributed Delays

In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the...

Stabilization of switched discrete-time systems with time-varying delay

A convex approach is proposed to deal with switched discrete-time systems with time-varying delays. It uses a parameter dependent Lyapunov-Krasovskii functional that allows to assure the robust stability or the robust stabilization of a switched system for arbitrary switching functions. The analysis and the design conditions are formulated as simple feasibility tests of linear matrix inequaliti...

Robust output feedback stabilization for discrete-time systems with time-varying input delay

Further Results on Robust Exponential Stabilization for Time-varying Delay Saturating Actuator Systems with Delay-dependence

The problem of delay-dependent exponential robust stabilization for a class of uncertain saturating actuator systems with time-varying delay is investigated. Novel exponential stability and stabilization criteria for the system are derived using the Lyapunov-Krasovskii functional combined with Leibniz-Newton formula. The issue of exponential stabilization for time-varying delay systems with sat...