The paper studies the exponential lag synchronization of a class of delayed chaotic neural networks with impulsive effects via the unidirectional linear coupling. Some sufficient conditions are derived by establishing impulsive differential delay inequality and using M-matrix theory. An illustrative example is also provided to show the effectiveness and feasibility of the impulsive control method.

This paper studies discrete impulsive hybrid systems. The comparison principle and uniform stability are established for such hybrid systems. Moreover, the attraction region is estimated. As applications, the comparison principle is used to study the robust stability problem for linear interval discrete impulsive hybrid systems and a class of nonlinear uncertain discrete impulsive hybrid systems.

Many complex dynamical behaviors in the real world can be modelled by interval impulsive differential systems or interval impulsive neural networks. This paper formulates and studies a model of uncertain interval nonlinear delayed impulsive neural networks. Some fundamental issues such as the global exponential robust stability of the equilibrium of this new model are established and analyzed. ...

When an impulsive control is adopted for a stochastic delay difference system SDDS , there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken to make the system stable? Using the Lyapunov-Razumikhin technique, we es...

In this paper, the issues of average consensus in undirected delayed networks of dynamic agents with impulsive effects are investigated. The primary contribution of this paper is to propose the consensus schemes in undirected delayed networks of dynamic agents having impulsive effects as well as fixed, switching topology. Based on impulsive stability theory on delayed dynamical systems, we deri...

Maladaptive impulsivity is a core symptom in various psychiatric disorders. However, there is only limited evidence available on whether different measures of impulsivity represent largely unrelated aspects or a unitary construct. In a cross-species translational study, thirty rats were trained in impulsive choice (delayed reward task) and impulsive action (five-choice serial reaction time task...

This paper is concerned with the problem of H control of fuzzy nonlinear impulsive systems with quantized feedback. New results on the H feedback control are established for one class of fuzzy nonlinear uncertain impulsive systems and one class of fuzzy nonlinear impulsive systems with nonlinear uncertainties by choosing appropriately quantized strategies and applying Lyapunov function approach...

This paper investigates the practical exponential stability of equilibrium for impulsive systems. Stability theorem and converse stability theorem are established by employing the second Lyapunov method. These theorems are used to analyze the practical exponential stability of the zero solution of perturbed impulsive systems and cascaded impulsive systems.

This research deals with learning in digital environments. Adaptive game-based learning considers learners’ preferred learning behavior and adapts the game system accordingly. In order to analyze learning behavior, the focus lies on a specific cognitive style, impulsive and reflective (I/R), which describe behaviors in problem-solving and decision-making environments. Impulsive people tend to r...