In this short note, we derive dissipative conditions with slack variables for a linear coupled differentialdifference (CDDS) via constructing a Krasovskii functional. The approach can be interpreted as a generalization of the Finsler Lemma approach for standard LTI systems proposed previously in de Oliveira & Skelton (2001). We also show that the proposed slack variables scheme is equivalent to...

This paper deals with the synchronization control problem for the uncertain chaotic neural networks with randomly occurring uncertainties and randomly occurring control gain fluctuations. By introducing an improved Lyapunov–Krasovskii functional and employing reciprocally convex approach, a delaydependent non-fragile output feedback controller is designed to achieve synchronization with the hel...

The purpose of this paper is to present an improved version of the time-delay system state feedback control design method. Based on the Lyapunov-Krasovskii functional the delayedindependent stability condition is derived using the linear matrix inequality techniques. The results obtained with a numerical example are presented to compare limitations in the system structure. Since the presented m...

The robust stability of a class of Hopfield neural networks with multiple delays and parameter perturbations is analysed. The sufficient conditions for the global robust stability of equilibrium point are given by way of constructing a suitable Lyapunov-Krasovskii functional. The conditions take the form of linear matrix inequality (LMI), so they are computationally efficient. In addition, the ...

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily ...

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...

Kalman filtering is a method for estimating state variables of a dynamic systems recursively from noise-contaminated measurements. For systems with nonlinear dynamics, a natural extension of the Linear Kalman Filter (LKF), called Extended Kalman filter (EKF) is used. The Kalman filter represents one of the most popular estimation techniques for integrating signals from navigation systems, like ...

This paper extends the scaled-small gain proposal in [1], modifying the Lyapunov-Krasovskii functional to analyze the robust stability of predictorbased state-feedback controllers for discrete-time systems with model uncertainties and unknown time-varying delays in the control input. Results show that the use of predictors improves the achieved robustness margin over static state feedback in so...