Impulsive control of a hysteresis cellular neural network model

Exponential Synchronization of the Hopfield Neural Networks with New Chaotic Strange Attractor

“…Ƒ Figure 3. Phase portrait of Gui chaotic strange attractor of system (2) For the purpose of synchronization, we introduce the response system that is driven by (1) via a set of signals …”

“…Recently, the issue of controlled synchronization in complex dynamical networks has become a rather significant topic in both theoretical research and practical applications [1][2][3]. It is known that in theory and practice, impulsive control has been widely used to stabilize and synchronize chaotic systems.…”

Impulsive control of unstable neural networks with unbounded time-varying delays

“…In recent years, many researchers focused their attention on impulsive control (impulsive stabilization) of delayed neural networks. This is quite different from the cases of impulsive perturbation, which is a type of robustness problem, and some attractive results have been presented in the literature, for example [30][31][32][33][34][35][36][37][38][39][40][41]. The main idea of impulsive control in neural networks is to introduce an impulse input into the topological structure of the networks and then control the states of systems.…”

On Exact Controllability of First-Order Impulsive Differential Equations

“…In 16 the authors investigated the optimal harvesting policy for an ecosystem with impulsive harvest. For some recent references on different control strategies, including impulsive control, we refer the reader to 13,[19][20][21][22][23][24][25][26] We say that system 1.1 -1.2 is exactly controllable in the time T > 0 if for any x 0 , x 1 there exists a control u such that a solution x of 1.1 -1.2 satisfies x 0 x 0 , x T x 1 . Of course, we specify below the space of solutions and controls.…”