Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers

Synchronization of Time Delay Coupled Neural Networks Based on Impulsive Control

“…Definition 1 (see [33]). e exponential convergence criterion of the distributed delayed impulsive inequality is given:…”

Synchronization Analysis of Complex Dynamical Networks Subject to Delayed Impulsive Disturbances

“…erefore, the instantaneous change can be regarded as the form of impulse, which is called impulse phenomenon. In the past decades, impulse effect in dynamical systems has received considerable attention [26][27][28][29][30][31][32][33][34][35] owing to its widespread existences in nature and society. From the perspective of impulse effect, impulse can be divided into two categories: impulsive control and impulsive disturbance, where impulse control as a discontinuous control input is to achieve desired performance of the networks, whereas impulse disturbance is a robust analysis which means that the networks can maintain its performance under impulse disturbances.…”

“…For example, under the impulsive control, the exponential synchronization of chaotic delayed neural networks could be achieved in [31]. On this basis, Kan et al [34] investigated the exponential synchronization of master-slave time-varying delayed complex valued neural networks by a hybrid impulsive controller. In recent years, some results about desynchronizing impulses have also been proposed.…”

Event‐triggered synchronisation of Markovian reaction–diffusion inertial neural networks and its application in image encryption

“…Synchronisation has been widely employed in many fields, such as secure communication, image processing and combinatorial optimisation [22], and it is known that the synchronisation control problems aim to make the drive and response systems achieve the consistent states at some point [23]. In recent years, as a topic that cannot be ignored, dissipative synchronisation is attracting more and more scholars' attention because from the energy‐related point of view, dissipativity theory can construct an effective framework in system theory and engineering, and compared with the and the passivity performances, dissipativity theory is more general [24].…”