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7th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2023

作者： Chang, Shuang Yang, Xiaona Zhang, Xian Wang, Xin School of Mathematical Science Heilongjiang University Harbin150080 China Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University Harbin150080 China School of Electronic Engineering Heilongjiang University Harbin150080 China

ISBN: (纸本)9789819733279

In order to analyse the global exponential stability (GES) of inertial neural networks (INNs) with multiple time-varying transmission delays, a direct parameterized method in this article is proposed. First, the solution of the considered delayed INNs can be parameterized. Thereby, sufficient conditions on GES of the delayed INNs will be established. Then, a numerical example is given to confirm the feasibility and non-conservativeness of the stability criterions. There are two advantages for the direct parameterized method given in this work: (i) to avoid constructing the Lyapunov–Krasovskii functional (LKF), the GES is defined directly by using the inequality technique;(ii) the stability criterion contains are obtained by the theoretical results solve rapidly. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

关键词： Stability criteria

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Global exponential p-norm stability of BAM neural networks with unbounded time-varying delays:A method based on the representation of solutions

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International Journal of Biomathematics 2023年第5期16卷 71-86页

作者： Xi Chen Tingting Yu Xian Zhang School of Mathematical Science Heilongjiang University No.74 Xuefu Road Harbin 150080P.R.China Heilongjiang Provincial Key Laboratory of the Theory and Computation of Compler Systems Heilongjiang University No.74 Xuefu Road Harbin 150080P.R.China

This paper studies the global exponential p-norm stability of bidirectional associative memory(BAM)neural networks with unbounded time-varying delays.A novel method based on the representation of solutions is put forward to deduce a global exponential p-norm stability *** method does not need to set up any Lyapunov-Krasovskii functionals(LKF),which can greatly reduce a large amount of computations and is simpler than the existing *** the end,representative numerical examples are given to llustrate the availability of the method.

关键词： BAM neural networks global exponential p-norm stability unbounded timevarying delays representation of solutions

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State Bounding of Memristive Cohen-Grossberg Neural Networks with Mixed Delays

State Bounding of Memristive Cohen-Grossberg Neural Networks...

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第35届中国控制与决策会议

作者： Meng Su Yu Xue Xian Zhang School of Mathematical Science Heilongjiang University Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University IEEE

This paper concerns the state bounding problem for a class of memristive Cohen-Grossberg neural networks with mixed delays and bounded disturbances.A delay-dependent sufficient condition,which is presented in terms of system parameters and contains several simple inequalities,is first given to guarantee that the state trajectories remain inside or converge exponentially into a ***,based on the state bounding results,reachable set estimation and global exponential stability criterion are ***,a numerical simulation illustrates the effectiveness of the obtained theoretical results.

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State Bounding of Memristive Cohen-Grossberg Neural Networks with Mixed Delays

State Bounding of Memristive Cohen-Grossberg Neural Networks...

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Chinese Control and Decision Conference, CCDC

作者： Meng Su Yu Xue Xian Zhang School of Mathematical Science Heilongjiang University Harbin China Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University Harbin China

This paper concerns the state bounding problem for a class of memristive Cohen–Grossberg neural networks with mixed delays and bounded disturbances. A delay-dependent sufficient condition, which is presented in terms of system parameters and contains several simple inequalities, is first given to guarantee that the state trajectories remain inside or converge exponentially into a polytope. Furthermore, based on the state bounding results, reachable set estimation and global exponential stability criterion are obtained. Finally, a numerical simulation illustrates the effectiveness of the obtained theoretical results.

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Necessary exponential stability conditions for linear discrete time-delay systems and application

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Journal of Control and Decision 2020年第3期7卷 262-275页

作者： Haifang Li Ning Zhao Xian Zhang Xin Wang School of Mathematical Science Heilongjiang UniversityHarbin 150080China The Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang UniversityHarbin 150080China

Necessary conditions for the exponential stability of the linear discrete time-delay systems are presented by employing the so-called Lyapunov–Krasovskii functional *** conditions not only provide a new tool for stability analysis of the linear discrete timedelay system by characterising instability domains,but also extend the existing results of the linear discrete time-delay ***,we investigate several crucial properties that connect the Lyapunov matrix and the fundamental matrix of the ***,the robust stability analysis of the linear discrete time-delay systems with norm-bounded uncertainties is *** examples illustrate the validity of the obtained results.

关键词： Linear discrete time-delay system exponential stability fundamental matrix Lyapunov matrix Lyapunov-Krasovskii functional

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New Criteria for Global Exponential Stability of Discrete-Time High-Order Neural Networks with Time-Varying Delays

New Criteria for Global Exponential Stability of Discrete-Ti...

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第40届中国控制会议

作者： Zeyu Dong Xin Yang Xian Zhang Xin Wang School of Mathematical Science Heilongjiang University Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University

This article investigates the global exponential stability of discrete-time high-order neural networks with timevarying delays. Firstly, a novel method is proposed to establish delay-dependent sufficient conditions for global exponential stability of the zero equilibrium. The sufficient conditions include a simple matrix inequality. Then two numerical examples are given to illustrate the effectiveness of theoretical results. The proposed method has two advantages:(i) It is directly based on the definition of global exponential stability, and does not need to construct any Lyapunov–Krasovskii functional;(ii)it can result in stability criteria that are easy to verify and less conservative. More valuable, the method presented in this article is suitable for most discrete-time neural networks.

关键词： Discrete-time high-order neural networks Global exponential stability Time-varying delays

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Global Exponential Stability Analysis for A Class of Coupled Cyclic Genetic Regulatory Networks with Multiple Time-Varying Delays

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IFAC-PapersOnLine 2021年第18期54卷 23-28页

作者： Tingting Yu Xian Zhang Xin Wang School of Mathematical Science Heilongjiang University Harbin 150080 P.R. China Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University Harbin 150080 P.R. China

The coupled repressilators, as a special case of cyclic genetic regulatory networks, can be used to adjust oscillations at the cellular level, and hence it have received extensive attention from many scholars. This paper addresses the problem of global exponential stability analysis for nonnegative equilibrium points of a class of coupled repressilator models with multiple time-varying delays. Sufficient conditions are investigated to guarantee that the considered model has a unique nonnegative equilibrium point which is globally exponentially stable. The obtained criteria are composed of several simple linear inequalities that are only related to the model parameters, so they can be easily verified by using the standard software tools. The results of two illustrative examples present the effectiveness of the proposed approach.

关键词： Genetic regulatory networks exponential stability coupled repressilators nonnegative equilibrium points

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Global exponential input-to-state stability analysis of nonlinear systems with mixed time delays

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Communications in Nonlinear Science and Numerical Simulation 2025年 150卷

作者： Jinbao Lan Chunyan Liu Xin Wang School of Mathematical Science Heilongjiang University Harbin 150080 PR China School of Information Management Heilongjiang University Harbin 150080 PR China Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University Harbin 150080 PR China

This research introduces a novel approach to analyze global exponential input-to-state stability for a category of nonlinear systems affected simultaneously by both unbounded distributed delays and time-varying neutral and transmission delays. The new method avoids constructing Lyapunov–Krasovskii generalized functionals. We verify the validity of the obtained results with two numerical examples. Notably, this study is the first to present a global exponential input-to-state stability analysis for the nonlinear system under consideration and introduce a novel method based on system solutions.

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Guaranteed Cost Control for Uncertain Gene Regulatory Networks with Interval Time-Varying Discrete Delays and Constant Distributed Delays

Guaranteed Cost Control for Uncertain Gene Regulatory Networ...

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第三十九届中国控制会议

作者： Zhiwei Zhang Heng Liu Xinyue Zhang Yantao Wang Xian Zhang School of Mathematical Science Heilongjiang University Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University

For a class of uncertain genetic regulatory networks with interval time-varying discrete delays and constant distributed delays, this paper investigates the problem of robust guaranteed cost control. The aim is to design a state feedback controller such that the resultant closed-loop system is robustly asymptotically stable and has guaranteed cost. The linear matrix inequality method combined with the convex technique, the slack matrix technique and the integral inequality technique is employed to present the existence and design method of expected controllers. The controller design problem is boiled down to solve a set of linear matrix inequalities, which can be realized easily by employing the standard toolbox softwares. The simulation results of an illustrative example show the applicability of the proposed design method.

关键词： guaranteed cost control（GCC） genetic regulatory networks（GRNs） interval time-varying discrete delays constant distributed delays asymmetric stability

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Adaptive Finite-Time Attitude Coordination Control for Spacecraft Formation 8

Adaptive Finite-Time Attitude Coordination Control for Space...

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8th Annual IEEE International Conference on Cyber Technology in Automation, Control and Intelligent systems, CYBER 2018

作者： Lin, Yang Wang, Xin Lyu, Jianting Zhang, Shangjun Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University School of Mathematical Sciences Heilongjiang University Harbin150080 China

ISBN: (纸本)9781538670569

This paper studies the finite-time attitude coordination control for formation spacecraft systems with external disturbances. We consider two cases, namely the coordinated attitude control with actuator healthy and actuator bias faults. The adaptive sliding mode coordinated control laws are proposed and analyzed. By applying Lyapunov stability theory, it is proved that system is finite-time stable and attitude synchronization can be achieved. © 2018 IEEE.

关键词： Actuators

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