The problem of robust stability and robust stabilization for a class of discrete-time uncertain systems with time delay is investigated. Based on Tchebychev inequality, by constructing a new augmented Lyapunov function, some improved sufficient conditions ensuring exponential stability and stabilization are established. These conditions are expressed in the forms of linear matrix inequalities (...

This article proposes a novel approach to assess the exponential stability of linear systems with sampled-data inputs. The paper considers both uncertainties in the model parameters and in the sampling period. Inspired by the input-delay approach and the stability of impulsive systems, the proposed method provides easy tractable stability conditions. Sufficient stability and stabilization condi...

<p style='text-indent:20px;'>This paper examines the stabilization problem of axially moving Kirchhoff beam. Under nonlinear damping criterion established by slope-restricted condition, existence and uniqueness solutions closed-loop system equipped with time-delay disturbance at boundary is investigated via Faedo-Galerkin approximation method. Furthermore, solution continuously dependent ...

Much recent progress has been achieved for stabilization of linear andnonlinear systemswith input delays that are long and dependent on either time or the plant state—provided the dependence is known. In this paper we consider the delay variations as unknown and study robustness of nominal constant-delay predictor feedbacks under delay variations that depend on time and the state. We show that ...

This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. On the basis of the obtained stability condition, a stabilizing method is al...

Complete results for the delay-dependent robust stability and feedback stabilization of linear neutral systems with unknown-but-bounded uncertainties are developed. New linear matrix inequalities-based delay-dependent stability criteria are derived in a systematic way using a new expanded state-space representation and a new Lyapunov-Krasovskii functional. The results are established without re...

The problems of delay-dependent robust stability and stabilization of a class of uncertain, linear discrete-time singular systems with state-delay are examined. The parametric uncertainties are assumed to be time-invariant and normbounded appearing in the state and delay matrices. A new system representation is developed to derive new delay-dependent stability criteria without relying on overbo...

This paper deals with the exponential stabilization of a time-delay system with an average of the state as the output. A general stability theorem with a guaranteed exponential decay-rate based on a Wirtinger-based inequality is provided. Variations of this theorem for synthesis of a controller or for an observer-based control is derived. Some numerical comparisons are proposed with existing th...