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Robust Feedback Set Stabilization of Logic Networks with State-Dependent Uncertain Switching and Control Constraints

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Journal of Systems Science & Complexity 2024年第2期37卷 629-646页

作者： DAI Chaoqun GUO Yuqian gui weihua School of Automation Central South UniversityChangsha 410083China

This study investigates the robust feedback set stabilization of switched logic control networks(SLCNs)with state-dependent uncertain switching and control ***,based on the properties of the semi-tensor product of matrices and the vector representation of logic,an SLCN with state-dependent uncertain switching and control constraints is expressed in algebraic ***,an input transformation and a switching model are constructed to transfer the original SLCN into one with a free control input and arbitrary *** equivalence between the set stabilizability of the original SLCN and that of the resulting SLCN is *** on such equivalence,the authors propose a necessary and sufficient condition for robust feedback set ***,an example is presented to demonstrate the application of the results obtained.

关键词： Input transformation robust control invariant subset robust feedback set stabilizability semi-tensor product state-dependent constraints switched logic control network

Asymptotical stability of continuous-time probabilistic logic networks based on transition rate

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Science China(Information Sciences) 2023年第3期66卷 204-213页

作者： Zhitao LI Yuqian GUO weihua gui School of Automation Central South University

The evolution of the probability distribution for a continuous-time probabilistic logic network(CT-PLN) is determined by its transition rate matrix(TRM), which is a constant matrix that can be identified from the observed data. In the literature, the asymptotical stability criterion of a CT-PLN is expressed by using the transition probability matrix of discretization under a specific sampling period. In this paper, we derive several improved criteria that are directly expressed in terms of the TRM. We prove that a CT-PLN is asymptotically stable with respect to a given set if and only if the largest invariant subset(LIS) in the set is non-empty and the complementary set of the LIS contains no invariant subset. Thus,the asymptotical stability of a CT-PLN can be verified by applying the existing LIS algorithm twice. In addition, the condition that the complementary set of the LIS contains no invariant subset can be replaced by one of the more easily verifiable conditions, namely, the reachability condition and the rank *** reachability condition states that the LIS is reachable from every state outside, and the rank condition states that the complementary sub-matrix of the TRM with respect to the LIS is of full rank. For a CT-PLN being not asymptotically stable, a method of determining the domain of attraction is proposed. Finally,examples are provided to demonstrate the advantages of the proposed method.

关键词： asymptotical stability continuous-time probabilistic logic network semi-tensor product of matrices set stability

SOME SYNCHRONIZATION CRITERIA FOR GENERAL COMPLEX NETWORKS WITH COUPLING DELAYS

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Journal of Systems Science & Complexity 2011年第6期24卷 1057-1067页

作者： Huan PAN Xiaohong NIAN weihua gui School of Information Science and Engineering Central South University Changsha 410004 China

A general complex delayed dynamical network model with asymmetric coupling matrix is considered in this paper. For reducing the conservativeness of synchronization criteria, several novel synchronization stability conditions are presented by using delay decomposition methods. Numerical examples which are widely used to study delay-dependent synchronization stability are given to illustrate the effectiveness of the proposed methods.

关键词： Asymmetric coupling complex network linear matrix inequality synchronization timedelay.

DESIGN AND IMPLEMENTATION OF COMPLETELY AUTOMATIC AND CONTINUAL PRODUCTION LINE FOR WATER-IN-OIL(W/O) EMULSION EXPLOSIVE

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中国有色金属学会会刊：英文版 1999年第2期9卷 201-207页

作者： He, Jianjun Yu, Shouyi gui, weihua Central South Univ of Technology Changsha China

１ＩＮＴＲＯＤＵＣＴＩＯＮＥｘｐｌｏｓｉｖｅｉｓｏｎｅｏｆｔｈｅｔｒｅｍｅｎｄｏｕｓｅｎｅｒｇｙｒｅｓｏｕｒｃｅｓｗｈｉｃｈｐｅｏｐｌｅｏｆｔｅｎｕｔｉｌｉｚｅ．Ｉｔｉｓｎｏｔｏｎｌｙｕｓｅｄｉｎｍｉｌｉｔａｒｙｐ... 详细信息

１ＩＮＴＲＯＤＵＣＴＩＯＮＥｘｐｌｏｓｉｖｅｉｓｏｎｅｏｆｔｈｅｔｒｅｍｅｎｄｏｕｓｅｎｅｒｇｙｒｅｓｏｕｒｃｅｓｗｈｉｃｈｐｅｏｐｌｅｏｆｔｅｎｕｔｉｌｉｚｅ．Ｉｔｉｓｎｏｔｏｎｌｙｕｓｅｄｉｎｍｉｌｉｔａｒｙｐｕｒｐｏｓｅｓ，ｂｕｔａｌｓｏｕｓ...

关键词： W/O emulsion explosiveautomatic adjusting charge ratioautomatic charge mixingautomatic adjusting output

Delay-dependent decentralized H_∞ filtering for uncertain interconnected systems

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Journal of Systems Engineering and Electronics 2008年第4期19卷 766-774页

作者： Chen Ning gui weihua Zhang Xiaofeng School of Information Science and Engineering Central South Univ. Changsha 410083 P. R. China

This article considers delay dependent decentralized H∞ filtering for a class of uncertain interconnected systems, where the uncertainties are assumed to be time varying and satisfy the norm-bounded conditions. First, combining the Lyapunov-Krasovskii functional approach and the delay integral inequality of matrices, a sufficient condition of the existence of the robust decentralized H∞ filter is derived, which makes the error systems asymptotically stable and satisfies the H∞ norm of the transfer function from noise input to error output less than the specified up-bound on the basis of the form of uncertainties. Then, the above sufficient condition is transformed to a system of easily solvable LMIs via a series of equivalent transformation. Finally, the numerical simulation shows the efficiency of the main results.

关键词： interconnected systems H∞ filtering delay-dependent LMI.

Fixed-time distributed robust optimization for economic dispatch with event-triggered intermittent control

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Science China(Technological Sciences) 2023年第5期66卷 1385-1396页

作者： HUANG BangHua LIU Yang GLIELMO Luigi gui weihua Key Laboratory of Intelligent Education Technology and Application of Zhejiang Province Zhejiang Normal UniversityJinhua321004China School of Mathematical Sciences Zhejiang Normal UniversityJinhua321004China Department of Electrical Engineering and Information Technologies University of Naples FedericoⅡNapoli80125Italy School of Automation Central South UniversityChangsha410083China

This paper proposes a fixed-time distributed robust optimization approach for solving economic dispatch *** on an integral sliding mode control scheme,the proposed multi-agent system converges to an optimal solution to an economic dispatch problem before a fixed *** addition,the proposed multi-agent system can suppress the disturbance in a fixed *** reduce the cost of sliding mode controls,we propose a distributed event-triggered intermittent control which reduces the sliding mode control time by setting a control triggering rule on the basis of two boundary functions of a Lyapunov *** simulation results of three power systems illustrate the characteristics and effectiveness of the theoretical results.

关键词： distributed optimization economic dispatch problem fixed-time robust optimization event-triggered intermittent control

Finite-time Stabilization of the Double Integrator Subject to Input Saturation and Input Delay

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IEEE/CAA Journal of Automatica Sinica 2018年第5期5卷 1017-1024页

作者： huawen ye meng li chunhua yang weihua gui the school of information science and engineering central south universityChangsha 410083China

Abstract--The time-optimal control design of the double integrator is extended to the finite-time stabilization design that compensates both input saturation and input delay. With the aid of the Artstein＇s transformation, the problem is reduced to assigning a saturated finite-time stabilizer. Index Terms--Finite-time stabilization, input delay, saturated design.

关键词： Finite-time stabilization input delay saturated design

Modified graph systems for distributed optimization

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Science China(Information Sciences) 2023年第12期66卷 48-63页

作者： Zicong XIA Yang LIU Dongyun WANG weihua gui Key Laboratory of Intelligent Education Technology and Application of Zhejiang Province School of Mathematical Sciences Zhejiang Normal University College of Engineering Zhejiang Normal University School of Information Science and Engineering Central South University

In distributed optimization theory, network topology graphs are important in communications among multiple agents. However, distributed optimization approaches cannot solve optimization problems well if the graphs are infeasible or tampered. To this end, this paper develops two types of modified graph systems for modifying or recovering the communication graphs among agents employed in distributed optimization. Two optimization problems for obtaining feasible graphs are formulated. Based on the two optimization problems, two modified graph systems are derived accordingly and their convergence to the optimal solution is proven. Via a coordination mechanism consisting of a distributed optimization approach and a modified graph system, we can modify an infeasible communication graph into a feasible one or recover a tampered graph, and the distributed optimization approach can resume its solver capability with the modified graphs. Several examples are provided to demonstrate the efficiency of the main results.

关键词： distributed optimization modified graph system neurodynamic optimization communication graph

Stabilization of Boolean control networks with state-triggered impulses

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Science China(Information Sciences) 2022年第3期65卷 123-137页

作者： Rongpei ZHOU Yuqian GUO Xinzhi LIU weihua gui School of Automation Central South University Department of Applied Mathematics University of Waterloo

Previously, impulses were used to model abrupt changes in dynamic biological systems. This paper introduces a hybrid-index model that can characterize instantaneity of the impulsive behavior more effectively, compared with the existing impulsive Boolean network models. Using the hybrid-index model,we investigate the set stabilization of Boolean control networks with state-triggered impulses in the hybriddomain and the time-domain. We establish necessary and sufficient conditions for set stabilizability in the hybrid and time domains, using the methods of k-domain and quotient mapping, respectively. Further, we obtain algorithms for constructing all hybrid-optimal and time-optimal set stabilizers by partitioning the state space into layers. The relationships between different set stabilizabilities are summarized. In addition,we have shared two examples to demonstrate the main results.

关键词： Boolean control networks set stabilization state-triggered impulses hybrid-index model semi-tensor product of matrices

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