The free-weighting matrix and integral-inequality methods are widely used to derive delay-dependent criteria for the stability analysis of time-varying-delay systems because they avoid both use a model transformation technique bounding cross terms. This technical note presents new integral inequality, called free-matrix-based that further reduces conservativeness in those methods. It includes well-known inequalities as special cases. Using it investigate with time-varying delays yields less...

This article deals with the stability of neural networks (NNs) time-varying delay. First, a generalized reciprocally convex inequality (RCI) is presented, providing tight bound for combinations. includes some existing ones as special case. Second, in order to cater use RCI, novel Lyapunov-Krasovskii functional (LKF) constructed, which delay-product term. Third, based on RCI and LKF, several criteria delayed NNs under study are put forward. Finally, two numerical examples given illustrate...

This paper concerns the tracking control problem of nonlinear networked systems (NCSs) considering external disturbance and random package dropouts. The sensor samples system states periodically. sampled data packages may have dropouts while being transmitted through communication networks. Notice that number consecutive lost is usually lower upper bound. Then, an aperiodically model employed to describe such a system. By utilizing augmented state approach, transformed into stabilization for...

This note is concerned with the stability analysis of linear discrete-time system a time-varying delay. A generalized free-weighting-matrix (GFWM) approach proposed to estimate summation terms in forward difference Lyapunov functional, and theoretical study shows that GFWM encompasses several frequently used estimation approaches as special cases. Moreover, an augmented functional delay-product type term constructed take into account delay changing information. As result, approach, together...

This paper is concerned with the problem of stability neural networks time-varying delays. A novel Lyapunov-Krasovskii functional decomposing delays in all integral terms proposed. By exploiting possible information and considering independent upper bounds delay derivative various intervals, some new generalized delay-dependent criteria are established, which different from existing ones improve upon previous results. Numerical examples finally given to demonstrate effectiveness merits...

This article deals with the problem of stability and stabilization Takagi–Sugeno (T–S) fuzzy systems time-varying delay. First, a novel Lyapunov–Krasovskii functional is constructed, which dependent on membership functions takes more information delay into account. Next, based an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$N$</tex-math></inline-formula> -order free-matrix-based integral inequality...

This article investigates the problem of delay-dependent stability for one-area load frequency control (LFC) system with electric vehicles (EVs). Two closed-loop models LFC EVs are proposed, including model based on reconstructed technique and uncertain parameters that considers state charge. By employing Lyapunov-Krasovskii functional method, two criteria presented systems under study such a more accurate admissible delay upper bound (ADUB) can be obtained. Case studies finally carried out...

This paper focuses on addressing the issue of absolute stability for uncertain Lur’e systems with time-varying delay using a delay-segmentation approach. The approach involves decomposing interval into two distinct subintervals unequal lengths. allows introduction delay-segmentation-based augmented Lyapunov–Krasovskii functional that ensures piecewise continuity at partition points. By selecting sets Lyapunov matrices in each interval, obtained results are less conservative, providing more...