A double integrator is controlled by discontinuous-impulsive feedback with adaptation. The gain of the impulsive control is adapted to minimize the time convergence to zero of the double integrator dynamics when the impulsive control is applied. The real case is studied to take into account the limitation of the input amplitude, the sampling of the controller and the effect of the disturbances....

In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...

The cone theory andmonotone iterative technique are used to investigate theminimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an infinite interval with an infinite number of impulsive times. All the existing results obtained in previous papers on nonlocal boundary value problems are under the case of the boundary condi...

We obtain necessary conditions of optimality for impulsive Volterra integral equations with switching and impulsive controls, with variable impulse time-instants. The present work continues and complements our previous work on impulsive Volterra control with fixed impulse times.

Due to the plentiful dynamical behaviors, integro-differential equations with delays have many applications in a variety of fields such as control theory, biology, ecology, medicine, etc [1, 2]. Especially, the effects of delays on the stability of integro-differential equations have been extensively studied in the previous literature (see [3]-[9] and references cited therein). Besides delays, ...

Impulsive synchronization of chaotic dynamic systems has some important applications to chaotic secure communication and chaotic spread-spectrum communication systems. In this paper we present some experimental results on impulsive synchronization between two Chua’s circuits. In our experiments, only one synchronizing impulse sequence is transmitted. The robustness of impulsive synchronization ...

OBJECTIVE The preference for sooner smaller over larger later rewards is a prominent manifestation of impulsivity in ADHD. According to the State Regulation Deficit (SRD) model, this impulsive choice is the result of impaired regulation of arousal level and can be alleviated by adding environmental stimulation to increase levels of arousal. METHOD To test this prediction, we studied the effec...

Occasionally, it happens to all of us: you speak out of turn during a meeting or you make a comment and immediate realize that you shouldn't have said it. Or you buy an expensive pair of shoes even though you actually cannot afford them. Two examples of daily‐live impulsive behavior, and more specifically of impulsive action (acting without forethought) and impulsive choice (preferring immediat...

It is well known that acute challenges with psychostimulants such as amphetamine affect impulsive behavior. We here studied the pharmacology underlying the effects of amphetamine in two rat models of impulsivity, the 5-choice serial reaction time task (5-CSRTT) and the delayed reward task (DRT), providing measures of inhibitory control, an aspect of impulsive action, and impulsive choice, respe...

This paper addresses the performance of MIMO-OFDM communication system in environments where the interfering noise exhibits non-Gaussian behavior due to impulsive phenomena. It presents the design and simulation of an iterative technique that aims to minimize the effect of impulsive noise on the performance of the MIMO-OFDM communication system under Additive White Gaussian Noise (AWGN) channel...