An asymptotic state estimator design and synchronization criteria for fractional order time‐delayed genetic regulatory networks

Abstract

This paper mainly investigates the asymptotic state estimator design and impulsive controlled synchronization for fractional-order time-delayed genetic regulatory networks (FOTDGRNs). Different from the existing state estimator results, the asymptotic state estimator design of FOTDGRNs is studied by using a novel algebraic method, fractional-order Lyapunov-Razumikhin method, and some famous inequality techniques. Afterward, a suitable impulsive controller is designed for the global asymptotic synchronization criteria for addressing master-slave systems. At last, the paper comes up with two numerical cases to justify the applicability of our theoretical outcomes.

Team optimal decentralized estimation by multiple agents with partial history sharing information structure

“…Razavinasab et al [18] studied the state estimation‐based distributed model predictive control of large‐scale networked systems with communication delays. Anbalagan et al [19] developed an asymptotic state estimator design for fractional order time‐delayed genetic regulatory networks. It is noted that no information sharing exists in different agents in the above‐mentioned literature; that is, agent $$$ i $$$ utilizes only its local input and output measurements to estimate the state.…”