Finite-time stability of genetic regulatory networks with impulsive effects

Abstract

We study the finite-time stability of genetic regulatory networks with impulsive effects. Using the method of Lyapunov function, sufficient conditions of the finite-stability, in terms of linear matrix inequalities, are established. A numerical example is provided to further illustrate the significance of our results.

Finite‐Time Stability Analysis of Switched Genetic Regulatory Networks with Time‐Varying Delays via Wirtinger’s Integral Inequality

“…Recently, many kinds of finite-time issues have attracted particular research interests, and there have been some results on finite-time stabilization and synchronization [40][41][42][43][44][45][46][47]. However, to the best of the authors knowledge, there have been very few results on the finite-time stability problem for delayed GRNs with time delays [48,49], and the purpose of this study is therefore to shorten such a gap.…”

Finite-Time Controllability and Set Controllability of Impulsive Probabilistic Boolean Control Networks

“…As is well known to us all, impulsive effect is a common phenomenon, and some recent novel works have been developed for impulsive systems [22], [45]. Especially, considering the sudden changes in gene regulation, the impulsive effect on genetic regulatory networks attracts many scholars' interest [40], [56]. It is noted that the ASSR method was also applied to Boolean networks with impulsive effects [5], [49]- [51].…”

Impulsive control design for output tracking of probabilistic Boolean control networks

“…Mutations of dynamic systems are widespread and often result in unexpected changes in various realistic fields, including neural networks [36, 37], cooperative models [38], and genetic regulatory networks [39]. For the convenience of research, these mutations are usually assumed to occur instantaneously, namely, to be viewed as impulses.…”