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New Results on Global Exponential Stability of Genetic Regulatory Networks with Diffusion Effect and Time-Varying Hybrid Delays by Yinping Xie; Ling Xiao; Ming-Feng Ge; Leimin Wang; Gaohua Wang is a Computer Science article available to read on EtoBox.

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Taking into account the spatial diffusion effect, this paper deals with the stability problem of genetic regulatory networks with both time-varying discrete delays (DDs) and distributed delays (DTDs). By virtue of the theories of delayed partial differential equation and Lyapunov stability, new algebraic conditions are established to guarantee the global exponential stability of the genetic regulatory networks with spatial diffusion (SDGRNs) with time-varying hybrid delays. The obtained conditions are generalized and easily calculated based on the system parameters. Besides, some extended results are presented for SDGRNs without diffusion effect or DTDs. Finally, the effectiveness and feasibility of the theoretical results are illustrated by two numerical examples and the corresponding simulation results. ## Keywords Global exponential stability • Genetic regulatory networks • Spatial diffusion • Time-varying discrete delays • Time-varying distributed delays B Leimin Wang

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Author

Yinping Xie; Ling Xiao; Ming-Feng Ge; Leimin Wang; Gaohua Wang

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Computer Science (Physical Sciences)