Abstract This article addresses the problems of state bounding and state‐feedback controller design for genetic regulatory networks with multiple delays bounded disturbances. Multiple time‐varying discrete constant distributed are involved. A delay‐dependent sufficient condition containing several simple inequalities is first given to guarantee that trajectories remain inside or converge exponentially into a Cartesian product two polytopes. Furthermore, equivalent conditions directly...

In this paper, the problem of stability analysis for linear continuous-time systems with constant discrete and distributed delays is investigated. First, an improved reciprocally convex lemma presented, which a generalization existing inequalities can be directly applied in case that delay interval divided into <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$N\geq 2$ </tex-math></inline-formula>...

Aiming at the shortcomings of existing power flow calculation methods in distribution network with distributed supply, a new method for supply is proposed. The processing 4 different types grid-connected nodes are analyzed. rate Jacobian matrix increased by introducing two steps predicted value and correction order to improve sensitivity Newton initial value. At last, IEEE33-node system taken as an example verify correctness performance improved method, its applicability supply.

This paper investigates the distributed resilient consensus control problem for a class non-linear heterogeneous multiagent systems under unreliable communication environment, which includes time-varying interaction network and intermittent denial of service (DoS) attacks. In order to handle nonlinear unknown dynamics in each agent subsystem, novel adaptive neural networks (NNs) approach is developed exploiting neighborhood information. By introducing topology-dependent Lyapunov function...

This paper studies the data-driven prescribed performance control (PPC) problem about discrete-time nonlinear multi agent system with fixed communication topologies in tracking error constraints. The new transformation strategy is constructed by using equivalent dynamic linearization techniques, and a controller predetermined designed to make converge area. scheme can effectively ensure fast convergence of achieve certain rate. In addition, better be achieved adjusting appropriate...

This paper aims to analyze the L1 stability of neural networks (NNs) with bounded or unbounded time-varying delays. Firstly, a new method based on system solutions is proposed, from which L <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</inf> criteria can be constructed. The presented does not need establish any Lyapunov-Krasovskii functional (LKF), greatly reduce amount calculation. So, obtained conditions are simpler, and checked by...

In this article, the state estimation issue is addressed for a class of genetic regulatory networks with discrete and leakage delays. The main purpose to calculate complete system information through significant measurement outputs. Firstly, original nonlinear error translated into linearly uncertain one by applying Lagrange's Mean-Value Theorem. Secondly, sufficient condition established ensure robust asymptotic stability resorting Lyapunov-Krasovskii functional, convex combination...