A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Examples show that these computationally tractable conditions can give tighter stability results than the ones in...

An investigation of the input-to-state practical stability (ISpS) and integral (iISpS) nonlinear systems with time delays (NSWTDs) is presented in this paper. The ISpS iISpS are obtained by using a continuously differentiable Lyapunov–Krasovskii functional (LKF) within-definite derivative, which generalizes classical LKF positive definite derivative. As result, uniform asymptotic (UPAS) criteri...

In this article, our objective is to develop novel passivity-based control techniques by introducing a new passivity concept named Krasovskii passivity . As preliminary step, we investigate the properties of Krasovskii passive systems and establish relations among four relevant concepts includi...

In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data controlis investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...

This paper studies the stabilization and safety problems of nonlinear time-delay systems. Following both Razumikhin Krasovskii approaches, we propose novel control Lyapunov functions/functionals for problem barrier problem. The proposed extend existing ones from delay-free case to case, allow designing stabilizing controllers in closed-form. Since analytical solutions optimal are hard be achiev...

The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation delay-decomposition approach. less conservative criteria are obtained by constructing a new augmented Lyapunov–Krasovskii functional various inequalities, which presented in terms matrix inequalities (LMIs)....

In this paper, passivity analysis of fractional-order neutral-type fuzzy cellular bidirectional associative memory (BAM) neural networks with time-varying delays is investigated. Based on the Lyapunov–Krasovskii functional, delay-dependent sufficient conditions for solvability passive problem are obtained in terms linear matrix inequalities (LMIs), which can be easily checked by using MATLAB LM...

This paper addressed the robust stabilization performance of Takagi–Sugeno (T-S) fuzzy systems under a state feedback controller. To attain this, an integral inequality is proposed by rearranging quadratic matrix-vector form combined with Jensen’s to handle single terms obtained taking derivative concerned Lyapunov–Krasovskii functional. By employing this and using techniques, some improved del...