<abstract><p>This paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first applied to fully utilize the information of the state and activation function. By employing the functional, various integral inequalities, and the free-weight matrix technique, a sufficient condition is established for exponential synchronization and cost-related performance. Then, a joint design of the needed non-fragile feedback gain and trigger matrix is derived by decoupling several nonlinear coupling terms. On the foundation of the joint design, an optimization scheme is given to acquire the minimum cost value while ensuring exponential stability of the synchronization-error system. Finally, a numerical example is used to illustrate the applicability of the present design scheme.</p></abstract>

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This paper is concerned with delay-dependent stability for systems with interval time varying delay. By defining a new Lyapunov functional which contains a triple-integral term with the idea of decomposing the delay interval of time-varying delay, an improved criterion of asymptotic stability is derived in term of linear matrix inequalities. The criterion proves to be less conservative with fewer matrix variables than some previous ones. Finally, a numerical example is given to show the effectiveness of the proposed method.

<p style='text-indent:20px;'>This paper studies event-triggered cost-guaranteed stabilization for Lurie systems. For the aim of saving limited communication network resources, a switched event-triggered control mechanism combining periodic sampling and continuous event triggering is adopted in the feedback channel. To explore the stability of the switched closed-loop system, a piecewise functional is constructed to make efficient use of the information involved in the sampling intervals and the nonlinear functions. With the assistance of the constructed functional, various integral inequalities, and the free-weight matrix technique, a criterion on the exponential stability and cost-related performance is established. On the basis of the given criterion, a joint-design method of the needed feedback gain and triggering matrix is derived through eliminating the nonlinear coupling terms therein. Then, an optimization scheme is given for acquiring the minimum cost value while maintaining exponential stability. Lastly, a numerical simulation example is employed to show the applicability of the optimized joint-design method.</p>

This paper investigates the problem of exponential passive filter design for switched neural networks with time-delay and reaction-diffusion terms. With the aid of a suitable Lyapunov–Krasovskii functional and some inequalities, a linear matrix inequality-based design method is developed that not only makes the filtering error system exponentially stable but also forces it to be passive from external interference to output error. Then, the filter design is extended to the complex-valued case via separating the system into real-valued and complex-valued parts. Finally, a numerical example is utilized to illustrate the effectiveness of the filter design methods for the real-valued and complex-valued cases, respectively.