期刊
COMPLEX & INTELLIGENT SYSTEMS
卷 8, 期 2, 页码 743-752出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s40747-020-00245-1
关键词
Genetic regulatory networks; Linear parameterization approach; Finite-time stability; Reaction-diffusion
资金
- National Natural Science Foundation of China [61973070]
- Liaoning Revitalization Talents Program [XLYC1802010]
- SAPI Fundamental Research Funds [2018ZCX22]
This paper investigates the finite-time stability for delayed genetic regulatory networks with reaction-diffusion terms by proposing a linear parameterization method and establishing sufficient conditions through theoretical analysis. The simulation verifications indicate the validity of the theoretical results in ensuring the stability of the networks.
This paper investigates the problem of finite-time stability (FTS) for a class of delayed genetic regulatory networks with reaction-diffusion terms. In order to fully utilize the system information, a linear parameterization method is proposed. Firstly, by applying the Lagrange's mean-value theorem, the linear parameterization method is applied to transform the nonlinear system into a linear one with time-varying bounded uncertain terms. Secondly, a new generalized convex combination lemma is proposed to dispose the relationship of bounded uncertainties with respect to their boundaries. Thirdly, sufficient conditions are established to ensure the FTS by resorting to Lyapunov Krasovskii theory, convex combination technique, Jensen's inequality, linear matrix inequality, etc. Finally, the simulation verifications indicate the validity of the theoretical results.
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