This investigation looks at the issue of finite time exponential synchronization complex dynamical systems with reaaction diffusion term. This reort studies networks consisting \begin{document}$ N $\end{document} straightly and diffusively coupled networks. By building a new Lyapunov krasovskii functional...

We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties the solutions, namely, global stability zero solution, eventually uniform boundedness existence periodic unique stationary oscillation considered equations. As far as technique proofs is concerned, we use Lyapunov–Krasovskii functional method second Lyapunov to prove o...

In this paper, the synchronization of fractional-order uncertain delayed neural networks with an event-triggered communication scheme is investigated. By establishing a suitable Lyapunov–Krasovskii functional (LKF) and inequality techniques, sufficient conditions are obtained under which stable. The criteria given in terms linear matrix inequalities (LMIs). Based on drive–response concept, LMI ...

In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probabili...

This paper considers the synchronization in complex networks with coupling delays, whose topologies could be be symmetric and asymmetric. Differing from most works on the synchronization in complex networks with coupling delays, this paper only uses a positivelydefined function, which is definitely not a Krasovskii-Lyapunov function, to analyze the synchronization criteria. Further, we can deri...

The reachable set bounding estimation for distributed delay systems with disturbances is a new problem. In this paper,we consider this problem subject to not only time varying delay and polytopic uncertainties but also distributed delay systems which is not studied fully untill now. we can obtain improved non-ellipsoidal reachable set estimation for neural networks with time-varying delay by th...

The paper is concerned with the approximation of value function zero-sum differential game minimal cost, i.e., payoff functional determined by minimization some quantity along trajectory solutions continuous-time stochastic games stopping governed one player. Notice that auxiliary described Isaacs–Bellman equation additional inequality constraints. a parabolic PDE for case and it takes form sys...

For a network of nonholonomic vehicles communicating according to an undirected connected graph, consensus-based formation control problem is solved via smooth time-varying, proportional-derivative, ?-persistently-exciting, controller. It assumed that the communication among agents affected by nondifferentiable, delays and uniform global asymptotic stability demonstrated. This goes beyond more-...

This article investigates the stabilization problem of a nonlinear networked control system (NCS) exposed to replay attack. A new mathematical model attack is proposed. The resulting closed-loop defined as discrete-time Markovian jump linear (MJLS). Employing Lyapunov–Krasovskii functional, sufficient condition for stochastic stability given in form matrix inequalities (LMIs). law can be obtain...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...