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基于模型嵌入循环神经网络的损伤识别方法

湖南大学学报（自然科学版） 2024年第7期51卷 21-29页

作者：翁顺雷奥琦陈志丹于虹颜永逸余兴胜华中科技大学土木与水利工程学院湖北武汉430074 中铁第四勘察设计院集团有限公司湖北武汉430063

目前,绝大多数基于深度学习的结构损伤识别方法依靠深度神经网络自动提取结构的损伤敏感特征,并通过损伤状态之间特征的差异实现模式分类识别.然而,这些方法面临着损伤量化难度大的挑战,并且需要大量的模型训练数据.本文提出基于模型嵌... 详细信息

目前,绝大多数基于深度学习的结构损伤识别方法依靠深度神经网络自动提取结构的损伤敏感特征,并通过损伤状态之间特征的差异实现模式分类识别.然而,这些方法面临着损伤量化难度大的挑战,并且需要大量的模型训练数据.本文提出基于模型嵌入循环神经网络(Model-Embedding Recurrent Neural Network,MERNN)的损伤识别方法.首先,通过数据驱动的卷积神经网络(Convolutional Neural Network,CNN)建立荷载-响应之间的映射关系,然后,利用龙格库塔法改进传统的循环神经网络,建立基于循环神经网络架构的数值计算单元.最后,基于结构响应计算值与实测响应残差构成的损失函数与神经网络的自动微分机制来实现结构刚度参数的更新,进而实现结构损伤识别.数值模拟框架与实验室的3层剪切型框架的损伤识别结果表明,本文提出的方法能基于少量响应数据准确量化结构损伤.

关键词：循环神经网络龙格库塔法损伤识别

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基于卷积神经网络的荷载大小与位置同步识别

东南大学学报（自然科学版） 2024年第1期54卷 110-116页

作者：翁顺郭街震于虹陈志丹颜永逸赵丹阳华中科技大学土木与水利工程学院武汉430074 中铁第四勘察设计院集团有限公司武汉430063

结构健康监测和状态评估中现有大多数研究均需要精确的荷载作用位置或详细的荷载时程,为了同时获得荷载大小和位置,构建并训练了同时具备分类和回归能力的两分支卷积神经网络,建立了融合分类问题和回归问题的损失函数,提取结构响应与荷... 详细信息

结构健康监测和状态评估中现有大多数研究均需要精确的荷载作用位置或详细的荷载时程,为了同时获得荷载大小和位置,构建并训练了同时具备分类和回归能力的两分支卷积神经网络,建立了融合分类问题和回归问题的损失函数,提取结构响应与荷载大小、结构响应与荷载位置间的映射关系.通过数值简支梁算例和三层试验框架验证了该方法识别结构荷载大小和位置的精度.结果表明:噪声条件下数值模型的荷载识别误差在8%以内,荷载位置识别准确率在95%以上;实际结构的荷载识别误差在18%以内,荷载位置识别准确率为100%.两分支卷积神经网络可以很好地同时识别荷载大小和位置.

关键词：荷载识别加速度响应深度学习卷积神经网络

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Semi-tensor product of matrices approach to reachability of finite automata with application to language recognition

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Frontiers of Computer Science 2014年第6期8卷 948-957页

作者： yongyi yan Zengqiang CHEN Zhongxin LIU College of Computer and Control Engineering Nankai University Tianjin 300071 China College of Science Civil Aviation University of China Tianjin 300300 China

This paper investigates the transition function and the reachability conditions of finite automata by using a semitensor product of matrices, which is a new powerful matrix analysis tool. The states and input symbols are first expressed in vector forms, then the transition function is described in an algebraic form. Using this algebraic representation, a sufficient and necessary condition of the reachability of any two states is proposed, based on which an algorithm is developed for discovering all the paths from one state to another. Furthermore, a mechanism is established to recognize the language acceptable by a finite automaton. Finally, illustrative examples show that the results/algorithms presented in this paper are suitable for both deterministic finite automata （DFA） and nondeterministic finite automata （NFA）.

关键词： finite automata reachability analysis transition function expression matrix approach semi-tensor product

Algebraic state space approach to model and control combined automata

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Frontiers of Computer Science 2017年第5期11卷 874-886页

作者： yongyi yan Zengqiang CHEN Jumei YUE College of Information Engineering Henan University of Science and Technology Luoyang 471023 China College of Computer and Control Engineering Nankai University Tianjin 300071 China College of Agricultural Engineering Henan University of Science and Technology Luoyang 471003 China

A new modeling tool, algebraic state space approach to logical dynamic systems, which is developed recently based on the theory of semi-tensor product of matrices （STP）, is applied to the automata field. Using the STE this paper investigates the modeling and controlling problems of combined automata constructed in the ways of parallel, serial and feedback. By representing the states, input and output symbols in vector forms, the transition and output functions are expressed as algebraic equations of the states and inputs. Based on such algebraic descriptions, the control problems of combined automata, including output control and state control, are considered, and two necessary and sufficient conditions are presented for the controllability, by which two algorithms are established to find out all the control strings that make a combined automaton go to a target state or produce a desired output. The results are quite different from existing methods and provide a new angle and means to understand and analyze the dynamics of combined automata.

关键词： automata composition controllability algebraic state space approach semi-tensor product

Three matrix conditions for the reduction of finite automata based on the theory of semi-tensor product of matrices

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Science China(Information Sciences) 2020年第2期63卷 227-229页

作者： Jumei YUE yongyi yan Zengqiang CHEN College of Agricultural Engineering Henan University of Science and Technology College of Information Engineering Henan University of Science and Technology College of Computer and Control Engineering Nankai University

Dear editor,Reduction of finite automata (FA) is of great importance because of its practical applications in engineering; for example the memory space of hardware realization grows exponentially with the number of states of FSMs. Existing results for reducing FA can roughly be classified into four categories:merging of states [1], refining of the state

关键词： STP Sr Three matrix conditions for the reduction of finite automata based on the theory of semi-tensor product of matrices

Solving type-2 fuzzy relation equations via semi-tensor product of matrices

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Control Theory and Technology 2014年第2期12卷 173-186页

作者： yongyi yan Zengqiang CHEN Zhongxin LIU College of Computer and Control Engineering Nankai University Tianjin Key Laboratory of Intelligent Robotics Nankai University

The problem of solving type-2 fuzzy relation equations is investigated. In order to apply semi-tensor product of matrices, a new matrix analysis method and tool, to solve type-2 fuzzy relation equations, a type-2 fuzzy relation is decomposed into two parts as principal sub-matrices and secondary sub-matrices; an r-ary symmetrical-valued type-2 fuzzy relation model and its corresponding symmetrical-valued type-2 fuzzy relation equation model are established. Then, two algorithms are developed for solving type-2 fuzzy relation equations, one of which gives a theoretical description for general type-2 fuzzy relation equations; the other one can find all the solutions to the symmetrical-valued ones. The results can improve designing type-2 fuzzy controllers, because it provides knowledge to search the optimal solutions or to find the reason if there is no solution. Finally some numerical examples verify the correctness of the results/algorithms.

关键词： Fuzzy control system Type-2 fuzzy logic system Type-2 fuzzy relation Type-2 fuzzy relation equation Semi- tensor product of matrices

Semi-tensor product approach to controllability and stabilizability of finite automata

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Journal of Systems Engineering and Electronics 2015年第1期26卷 134-141页

作者： yongyi yan Zengqiang Chen Zhongxin Liu College of Computer & Control Engineering Nankai University College of Information Engineering Henan University of Science and Technology College of Science Civil Aviation University of China

Using semi-tensor product of matrices, the controllability and stabilizability of finite automata are investigated. By expressing the states, inputs, and outputs in vector forms, the transition and output functions are represented in matrix *** on this algebraic description, a necessary and sufficient condition is proposed for checking whether a state is controllable to another one. By this condition, an algorithm is established to find all the control sequences of an arbitrary length. Moreover, the stabilizability of finite automata is considered, and a necessary and sufficient condition is presented to examine whether some states can be stabilized. Finally, the study of illustrative examples verifies the correctness of the presented results/algorithms.

关键词： finite automata controllability stabilizability semitensor product of matrices matrix approach

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Survey on applications of algebraic state space theory of logical systems to finite state machines

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Science China(Information Sciences) 2023年第1期66卷 5-24页

作者： yongyi yan Daizhan CHENG Jun-E FENG Haitao LI Jumei YUE College of Information Engineering Henan University of Science and Technology Institute of Systems Science Chinese Academy of Sciences School of Mathematics Shandong University School of Mathematics and Statistics Shandong Normal University College of Agricultural Equipment Engineering Henan University of Science and Technology

Algebraic state space theory(ASST) of logical systems, developed based on the semi-tensor product(STP) which is a new matrix analysis tool built in recent ten years, provides an algebraic analysis approach for many fields of science, such as logical dynamical systems, finite-valued systems, discrete event dynamic systems, and networked game systems. This study focuses on comprehensively surveying the applications of the ASST method to the field of finite state machines(FSMs). Some necessary preliminaries on the method are first reviewed. Then the applications of the method in the FSM field are reviewed, including deterministic FSMs, nondeterministic FSMs, probabilistic FSMs, networked FSMs, and controlled and combined FSMs. In addition, other applications related to both STP and FSMs are surveyed, such as the application of FSM to Boolean control networks and the application of graph theory to FSMs. Finally, some potential research directions with respect to the ASST method in the FSM field are predicted.

关键词： Boolean control network Boolean network finite state machine learning system semi-tensor product (STP) ASST

Algebraic criteria for finite automata understanding of regular language

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Frontiers of Computer Science 2019年第5期13卷 1148-1150页

作者： yongyi yan Jumei YUE Zhumu FU Zengqiang CHEN School of Information Engineering Henan University of Science and Technology Henan 471003 China College of Agricultural Equipment Engineering Henan University of Science and Technology Henan 471003 China College of Artificial Intelligence Nankai University Tianjin 300071 China

1 Introduction and main contributions Finite automata are dynamical systems with discrete inputs and outputs, which belong to the domain of logical systems and have a wide range of applications. In engineering, due to the excellent hardware qualities of simple structure, low power consumption and low electromagnetic noise, etc., finite automata are used in avionics and nuclear engineering, where the environment is bad and require strict safety. In science, finite automata serve as one of the main molding tools for discrete event dynamic systems (DEDS)(others are Petri nets, Markov chains and queuing networks, etc.). Studying DEDS is one of the major ways to study the cyber physical systems (CPS) which is the core content of Industry 4.0.

关键词： Algebraic criteria finite automata regular language