Global exponential stability of impulsive BAM neural networks with distributed delays

Global Exponential Stability of Impulsive Cohen-Grossberg-Type BAM Neural Networks with Time-Varying and Distributed Delays

“…Most widely used neural networks are neither of purely continuous-time nor of purely discrete-time type [7]- [10]. Also there has been a new category of neural networks called impulsive neural networks, which display a combination of characteristics of both continuous-time and discrete-time systems.…”

“…The initial conditions associated with system (4) can be defined as (1)(2) is studied [7], [8], [10] with delays and impulses. The equilibrium point …”

“…Theorem 2. [10] Assume that 14 HH  are satisfied, then the system (3) has a unique equilibrium point which is a solution of the system (5).…”

“…BAM neural networks are useful in many fields such as pattern recognition and automatic control, the stability properties and applications of BAM's models have been researched by To the best of our knowledge, there are few results on the stability of impulsive Cohen-Grossberg neural networks with both time-varying and distributed delays [9]- [10]. We study the stability problem of BAM impulsive Cohen-Grossberg neural networks with time-varying and distributed delays and derived to guarantee the global asymptotic stability of the solution by using some inequality techniques, fixed point theorem and some analysis techniques.…”

Almost Periodic Solutions of Impulsive Integro‐differential Neural Networks

“…The reader can easily realize, nevertheless, that most of equations of models considered in the above mentioned papers are subject to periodic assumptions and the authors, in particular, studied the existence of their periodic solutions, see also [11,13,18,37,42]. On the other hand, upon considering long-term dynamical behaviors it is possible for the various components of the model to be periodic with rationally independent periods, and therefore it is more reasonable to consider the various parameters of models to be changing almost-periodically rather than periodically with a common period.…”