Guaranteed Cost Control of Genetic Regulatory Networks With Multiple Time-Varying Discrete Delays and Multiple Constant Distributed Delays

This paper focus on the problem of guaranteed cost control for a class of genetic regulatory networks with multiple time-varying discrete delays and multiple constant distributed delays. Firstly, a novel method is proposed to establish a sufficient condition for the existence of guaranteed cost controller. The sufficient condition includes only several simple inequalities, which can easily solved by standard tool softwares, such as MATLAB. Secondly, the desired guaranteed cost controller is designed based on the solution of these inequalities. Thirdly, the proposed method is also available to the stabilization problem of genetic regulatory networks under consideration. Finally, the results of two numerical examples demonstrate the applicability of theoretical results. Compared with the existing results, this present paper has three merits: (i) Do not require to construct any Lyapunov-Krasovskii functional; (ii) the class of genetic regulatory networks under consideration is more general; (iii) the designed controller can be easily realized.