This paper is concerned with error estimation between two non-identical uncertain complex-valued neural networks (CVNNs) based on delay-dependent flexible impulsive control (DDFIC). By implementing the ideas of average impulsive delay (AID) and average impulsive interval (AII), we established a new delay dependent flexible impulsive delay differential inequality to reduce the error exponentially for the proposed CVNNs. Moreover, we obtained some new criteria to reduce error exponentially and robust exponentially with regard to linear matrix inequalities (LMIs) by using the Lyapunov function for the proposed CVNNs, and we also designed the DDFIC gains by solving LMIs. The DDFIC effectively reduced the errors for the proposed networks and is represented using numerical examples along with its simulations.

This study addresses the delay-dependent criteria like mean square robust exponential stability and mean square exponential stability for the uncertain neutral discrete time-varying and distributed delay differential systems under random impulsive control. By employing the random impulsive control, descriptor model transforms, and Lyapunov functional approach, we achieved the desired performance for the given system in the way of Linear matrix inequality. Finally, we justify the proposed results through numerical examples and their simulations.

This paper discusses the synchronization results like robust exponential synchronization (RES) and exponential synchronization (ES) of uncertain infinite time-varying flexible delayed impulsive neural networks with and without distributed delay. First, we introduced a new lemma based on fundamental solution matrix for solving nonlinear neural networks by utilizing average impulsive interval (AII) and average impulsive delay (AID). Further, we examined some novel RES and ES results for proposed neural networks via the method of variation of constants. Finally, numerical examples are given to validate the proposed results, and the effectiveness of flexible delayed impulsive control is demonstrated using graphical representations.

The paper studies stability analysis for an uncertain singular time varying delay system (USTDS) under random impulsive control (RIC). It also proves the stability results for a singular impulsive time delay system in terms of neutral impulsive time delay system approach. Besides, we derive the new sufficient conditions for stability results like exponential stability (ES) and robust exponential stability (RES) of the proposed system via linear matrix inequality (LMI) by employing the Lyapunov–Krasovskii functional (LKF) approach. In addition, two numerical examples, along with graphical simulations, are provided to illustrate the validity and effectiveness of the proposed results.

This paper addresses the problem of pth moment exponential stability and stabilization for random impulsive control systems. Some novel pth moment exponential stability and synchronization approaches are established based on the method of maximum and minimum eigenvalues by using the Lyapunov functions and Razumukhin technique. Finally, we show that the stability and synchronization behavior of random impulses are faster than the fixed time impulses. Some physical examples are given to verify the validity and usefulness of the results obtained.

In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the method of Lyapunov and Razumukhin technique. Finally, we give several numerical examples with their simulations are provided to illustrate the effectiveness of the proposed results.

In this work, we study the problem of p-th moment global exponential stability for functional differential equations and scalar chaotic delayed equations under random impulsive effects. Meanwhile, the p-th moment global exponential synchronization for the proposed equations is also discussed, whereas the main results are proved by using Lyapunov function and Razumikhin technique. Furthermore, the impact of fixed and random time impulses are presented by applying the results to Mackey Glass blood cell production model and Ikeda bistable resonator model. Finally, the effectiveness of fixed and random impulses are depicted via graphical representations.

In this paper, we investigated the stability criteria like an exponential and weakly exponential stable for random impulsive infinite delay differential systems (RIIDDS). Furthermore, we proved some extended exponential and weakly exponential stability results for RIIDDS by using the Lyapunov function and Razumikhin technique. Unlike other studies, we show that the stability behavior of the random time impulses is faster than the fixed time impulses. Finally, two examples were studied for comparative results of fixed and random time impulses it shows by simulation.