We study the effects of time-delay on the stability of a primal-dual controller applied to an optical communication network. Signal powers are adjusted at the sources while the links return dynamic pricing information. The objective of the source algorithm is to adjust the signal powers such that predefined OSNR targets are achieved according to the OSNR channel optimization problem. We incorpo...

In this paper, a novel intermittent impulsive synchronization scheme is proposed to realize synchronization of two chaotic delayed neural networks. Intermittent impulsive control breaks through the limitation of the upper bound of the impulsive intervals in general impulsive control. In our synchronization scheme, impulsive control is only activated in the control windows, rather than during th...

In this note we investigate the filtering problem for linear time-delay systems. Unlike most of the existing results, we consider systems with an unknown and constant delay. From the Razumikhin stability theorem and some judicious mathematical manipulations, a reduced order H∞ filter able to ensure the asymptotic stability and the pre-specified H∞ performances of the filtering process is design...

Linear systems with constant coe0cients and time-varying delays are considered. We address the problem of 4nding an ellipsoid that bounds the set of the states in the Euclidean space that are reachable from the origin, in 4nite time, by inputs with peak value that is bounded by a prechosen positive scalar. The system may encounter uncertainties in the matrices of its state space model and in th...

This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov–Razumikhin method and some novel stability criteria are then given. These cond...

Această lucrare tratează problema conducerii robuste a sistemelor liniare cu incertitudine cu argument întârziat ce conţin elemente de execuţie cu saturaţie. Utilizând fundamente teoretice, cum ar fi teoria Razumikhin cu privire la stabilitatea sistemelor cu incertitudine cu argument întârziat, teoria Lyapunov a stabilităţii ecuaţiilor diferenţiale funcţionale, tehnici de optimizare via inegali...

This paper is concerned with a n-species cooperation system with distributed delays and feedback controls on time scales. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained. For the almost periodic case, by using the Ra...

The concept of control Lyapunov function has proven a useful tool for designing robust control laws for nonlinear systems. Recently, this concept has been extended to time-delay systems in the form of Control Lyapunov Razumikhin functions and Control Lyapunov Krasovsky functionals (CLKF). Universal formulas, such as Sontag's formula and domination redesign formula, apply to CLKF's and achieve r...

This paper addresses the synthesis of delay-dependent local stabilizing controllers for, possibly open-loop unstable, nonlinear quadratic systems with a varying time-delay in the state. We develop methods for designing static nonlinear quadratic state feedback controllers that guarantee the local asymptotic stability of the closed-loop system zero equilibrium point in some polytopic region of t...

This paper presents some recent results about the design of observers for time-delay systems. It is focused on methods that can lead to design some useful observers in practical situations. First the links between observability properties and observers design is emphasized. Then some necessary and sufficient conditions and a method are provided to obtain unknown input observers for time-delay s...