Robust Stability of Discrete-Time Randomly Switched Delayed Genetic Regulatory Networks with Known Sojourn Probabilities

Author:

Wan Xiongbo, ,Ren Chuanyu,An Jianqi

Abstract

This study investigates stability problems related to discrete-time randomly switched genetic regulatory networks (GRNs) with time-varying delays. A new discrete-time randomly switched GRN model with known sojourn probabilities is proposed. By utilizing the discrete Wirtinger-based inequality and a newly proposed constraint condition on the feedback regulatory function, which have not been fully used in stability analysis of discrete-time GRNs, we establish delay-dependent stability and robust stability criteria. These criteria possess the sojourn probabilities of randomly switched GRNs. Two numerical examples are provided to demonstrate the effectiveness of the established results.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. State bounding and synthesis of switched genetic regulatory networks with mixed delays and bounded disturbances;Mathematical Methods in the Applied Sciences;2022-11-28

2. Event-Triggered Asynchronous Fault Detection for Stochastically Switched Systems With Sojourn Probabilities;2022 41st Chinese Control Conference (CCC);2022-07-25

3. Stability Analysis for Delayed Switching GRNs;Analysis and Design of Delayed Genetic Regulatory Networks;2019

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