Weighted Pseudo-?-Almost Periodic Sequence and Finite-Time Guaranteed Cost Control for Discrete-Space and Discrete-Time Stochastic Genetic Regulatory Networks with Time Delays

被引:1
作者
Sun, Shumin [1 ]
Zhang, Tianwei [2 ]
Li, Zhouhong [3 ]
机构
[1] Kunming Univ Sci & Technol, City Coll, Kunming 650051, Peoples R China
[2] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China
[3] Yuxi Normal Univ, Dept Math, Yuxi 653100, Peoples R China
关键词
discrete spatial diffusion; discrete time; stochastic; weighted pseudo-& theta; -almost periodicity; finite-time guaranteed cost controller; finite difference method; EXPONENTIAL STABILITY ANALYSIS; CRITERIA; SYSTEMS;
D O I
10.3390/axioms12070682
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper considers the dual hybrid effects of discrete-time stochastic genetic regulatory networks and discrete-space stochastic genetic regulatory networks in difference formats of exponential Euler difference and second-order central finite difference. The existence of a unique-weight pseudo-?-almost periodic sequence solution for discrete-time and discrete-space stochastic genetic regulatory networks on the basis of discrete constant variation formulation is discussed, as well as the theory of semi-flow and metric dynamical systems. Furthermore, a finite-time guaranteed cost controller is constructed to reach global exponential stability of these discrete networks via establishing a framework of drive, response, and error networks. The results indicate that spatial diffusions of non-negative dense coefficients have no influence on the global existence of the unique weighted pseudo-?-almost periodic sequence solution of the networks. The present study is a basic work in the consideration of discrete spatial diffusion in stochastic genetic regulatory networks and serves as a foundation for further study.
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页数:26
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