The development of the hardware systems has incurred various types of delays such as processing and transmission delays. Such delay may be due to the effect of tolerances of electronic components which were used while developing the system. Such time delay parameters must be implemented in the transfer function of the system so as to identify the correct cause of dynamic behavior of the system ...

Abstract: This paper is considered with the problem of robust absolute stability of neutral type Lur’e systems with mixed time-varying delays. By constructing an new augmented Lyapunov-Krasovskii functional and combining integral inequality with approach to estimate the derivative of the Lyapunov-Krasovskii functional, which estimated some integral terms by Wirtinger’s inequality, a matrix-base...

This paper generalizes the Lasalle-Yoshizawa Theorem to switched nonsmooth systems. It is established that Filippov (Krasovskii) regularization of a switched system is contained within the convex hull of the Filippov (Krasovskii) regularizations of the subsystems. A common candidate Lyapunov function that has a negative semidefinite derivative along the trajectories of the subsystems is shown t...

This work is devoted to the remote feedback control of a linear process with "Internet in the loop". In such a networked control situation, variable and unpredictable delays arise, which may decrease the global performance or destabilize the system. Our aim is to obtain the best performance despite the variation of the network QoS (quality of service). The considered application is based on a M...

This paper investigates the robust stability problem of Hopfield neural networks(HNNs) with time-varying delay. Two novel LMI-based delay-dependent robust stability criteria are obtained by constructing appropriate Lyapunov-Krasovskii functional. This new criteria based on the free-weighting matrices approach prove to be less conservativeness, which not only retain any useful terms in the deriv...

In this paper, we consider the problem of robust delay-dependent stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. Less conservative stability criteria is put forward by using Lyapunov-Krasovskii functional approach. Based on delay-central point approach, introducing some free-weighting matrices and using tighter integral inequality for dealin...

This paper is considered with the robust stability problem for linear discretetime systems with polytopic uncertainty and an interval time-varying delay in the state. On the basis of a novel Lyapunov-Krasovskii functional, new delay-range-dependent stability criteria are established by employing the freeweighting matrix approach and a Jensen-type sum inequality. It is shown that the newly propo...

This paper generalizes the Lasalle-Yoshizawa Theorem to switched nonsmooth systems. It is established that Filippov (Krasovskii) regularization of a switched system is contained within the convex hull of the Filippov (Krasovskii) regularizations of the subsystems. A common candidate Lyapunov function that has a negative semidefinite derivative along the trajectories of the subsystems is shown t...