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This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
This paper concerns the stability problem of singular systems with time-varying delay. According to different delay-partition intervals, an augmented Lyapunov-Krasovskii functional with delay cross terms is constructed. Based on it, using the relaxed integral inequality technique is to obtain a less conservative stability criterion. As a result, two numerical examples are provided to demonstrate the...
A design method for a non-fragile repetitive control based on two-dimensional model is proposed for a class of linear discrete-time systems. The characteristics of the control and learning processes, as well as the uncertainties of repetitive controller and feedback controller are considered to establish a two-dimensional model for the discrete repetitive control system. Next, the stability condition...
This paper deals with the problem of delay-dependent robust stability for uncertain stochastic systems with time-varying delay. Improved delay-dependent robust stability criteria are proposed without ignoring any terms by considering the relationship among the time-varying delay, its upper bound and their difference, and using both Itpsilas differential formula and the Lyapunov stability theory. Numerical...
A comprehensive discussion on the potential conservatism of a descriptor model transformation approach is given and the stability/stabilization of time-delay systems are reconsidered by using an integral inequality recently established. A refined delay-dependent stability condition, which includes the one by the descriptor model transformation approach as a special case, is derived. Neither any model...
The free-weighting matrix approach is employed to investigate the output feedback control of linear discrete-time systems with an interval time-varying delay. First, a delay-dependent stability analysis is carried out using a new method of estimating the upper bound on the difference of a Lyapunov function without ignoring any useful terms; and a design criterion for a static output feedback (SOF)...
This paper investigates the controller design problem for networked control systems (NCSs). By considering the relationship between the network-reduced delay and its upper bound, an improved stability criterion for networked closed-loop system is proposed without ignoring any terms in the derivative of Lyapunov-Krasovskii functional. As a result, a state feedback controller design method is established...
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