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Grain growth of Al-4Cu-Mg alloy during isothermal heat treatment

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Journal of University of Science and Technology Beijing 2006年第1期13卷 67-72页

作者： haitao Jiang Miaoquan li Materials Science and Engineering School Northwestern Polytechnical University Xi＇an 710072 China

The microstructure of an Al-4Cu-Mg alloy during isothermal heat treatment in the Strain Induced Melt Activation （SIMA） process was investigated and the kinetics of grain growth was analyzed, The grain growth during isothermal heat treatment of the Al-4Cu-Mg alloy coincided with the Ostwald ripening theory. During isothermal heat treatment, both grain shape and the high volume fraction of solid phase have significant effects on grain growth. Therefore, a new grain growth model based on the Ostwald ripening theory was proposed taking into consideration the grain shape and the volume fraction of solid phase. By comparing the calculated results with the experimental results, it was confirmed that the present model could be applied to grain growth during isothermal heat treatment of the Al-4Cu-Mg alloy in the SIMA process.

关键词： grain growth semi-solid isothermal heat treatment Al-4Cu-Mg alloy

Nonsingularity of grain-like cascade feedback shift registers subject to fault attacks

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Science China(Information Sciences) 2024年第9期67卷 184-195页

作者： haitao li Zhaoqi liU Wenrong li School of Mathematics and Statistics Shandong Normal University

Feedback shift registers(FSRs) are pivotal in generating pseudorandom sequences for stream ciphers and play a crucial role in error detection and code correction. This paper investigates the resilience of grain-like cascade FSRs(GLC-FSRs) against two types of fault attacks: hard and soft. First, we introduce a new criterion for assessing the nonsingularity of GLC-FSRs using the structure matrices of feedback functions,which enable the measurement of the number of nonsingular GLC-FSRs. Second, we demonstrate that GLC-FSRs subject to hard fault attacks become singular as determined by this new criterion. Ultimately,by constructing a soft fault bit set, we discuss the resilience of GLC-FSRs to soft fault attacks. Results demonstrate that singular GLC-FSRs remain singular after being injected by soft fault attacks. Conversely,for nonsingular GLC-FSRs, suitable soft fault attacks are designed to maintain their nonsingular status.

关键词： grain-like cascade feedback shift register fault attack nonsingularity semi-tensor product

Aggregation method to reachability and optimal control of large-size Boolean control networks

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Science China(Information Sciences) 2023年第7期66卷 307-308页

作者： Shuling WANG haitao li School of Mathematics and Statistics Shandong Normal University

Dear editor, As an effective model of genetic regulatory networks, the Boolean network was introduced by Kauffman, and has since been extensively studied in systems biology. Boolean control networks(BCNs) are Boolean networks with control and output. Reachability is used to design control sequences that drive genes from unhealthy to healthy states,

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On feedback invariant subspace of Boolean control networks

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Science China(Information Sciences) 2020年第12期63卷 257-259页

作者： Aixin liU haitao li School of Mathematics and Statistics Shandong Normal University

Dear editor,Subspace theory is important in the study of nonlinear systems. The model of Boolean networks(BNs) was firstly established by Kauffman for the regulation of genes. Boolean networks with inputs and outputs ... 详细信息

关键词： Boolean control network semi-tensor product feedback invariant subspace coordinate transformation matrix equation

On Basis and Pure Nash Equilibrium of Finite Pure Harmonic Games

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Journal of Systems Science & Complexity 2022年第4期35卷 1415-1428页

作者： liU Aixin li haitao li Ping YANG Xinrong School of Mathematics and Statistics Shandong Normal UniversityJinan250014China

This paper investigates the basis and pure Nash equilibrium of finite pure harmonic games(FPHGs) based on the vector space structure. First, a new criterion is proposed for the construction of pure harmonic subspace, based on which, a more concise basis is constructed for the pure harmonic subspace. Second, based on the new basis of FPHGs and auxiliary harmonic vector, a more easily verifiable criterion is presented for the existence of pure Nash equilibrium in basis FPHGs. Third,by constructing a pure Nash equilibrium cubic matrix, the verification of pure Nash equilibrium in three-player FPHGs is given.

关键词： Auxiliary harmonic vector finite pure harmonic games semi-tensor product of matrices vector space structure

Stable degree analysis for strategy profiles of evolutionary networked games

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Science China(Information Sciences) 2016年第5期59卷 205-216页

作者： Peilian GUO Yuzhen WANG haitao li School of Control Science and Engineering Shandong University Department of Mathematics Shandong Normal University

In this paper, we investigate the stable degree of strategy profile for evolutionary networked games by using the semi-tensor product method, and present a number of new results. First, we propose the concept of k-degree stability for strategy profiles based on a normal evolutionary networked game model. Second, using the semi-tensor product of matrices, we convert the game dynamics with "best imitate" strategy updating rule into an algebraic form. Third, based on the algebraic form of the game, we analyzed the stable degree of strategy profile, and proposed two necessary and sufficient conditions for the k-degree stability of strategy ***, we discuss the computation problem of the transient time within which a disturbed strategy profile can be restored, and also establish an algorithm for the verification of the stable degree of strategy profile. The study of an illustrative example shows that the new results obtained in this paper are very effective.

关键词： evolutionary networked game strategy profiles stable degree semi-tensor product of matrices

Cognitive anti-jamming receiver under phase noise in high frequency bands

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Journal of Systems Engineering and Electronics 2018年第1期29卷 31-38页

作者： FANG Zheng li haitao QIAN Yiming School of Electronic Information and Electrical EngineeringShanghai Jiao Tong UniversityShanghai 200240China China Science and Technology on Avionics Integration Laboratory Shanghai 200233China Faculty of Information Technology Beijing University of TechnologyBeijing 100124China China Nuclear Control System Engineering CO. LTDBeijing 100176China

This paper investigates the jamming sensing performance of the simultaneous transmit and receive based cognitive anti-jamming(SCAJ) receiver impaired by phase noise in local oscillators(LO) over fading channels. Firstly, energy detection(ED)based on the jamming to noise ratio(JNR) of the high frequency bands SCAJ receiver with phase noise under different channels is analyzed. Then, the probabilities of jamming detection and false alarm in closed-form for the SCAJ receiver are derived. Finally,the modified Bayesian Cramer-Rao bound(BCRB) of jamming sensing for the SCAJ receiver is presented. Simulation results show that the performance degradation of the SCAJ system due to phase noise is more severe than that due to the channel fading in the circumstances where the signal bandwidth(BW) is kept a constant. Moreover, the signal BW has an effect on the phase noise in LO, and the jamming detection probability of the wideband SCAJ receiver with lower phase noise outperforms that of the narrowband receiver using the same center frequency. Furthermore,an accurate phase noise estimation and compensation scheme can improve the jamming detection capability of the SCAJ receiver in high frequency bands and approach to the upper bound.

关键词： high frequency band simultaneous transmit and receive phase noise cognitive anti-jamming

Output reachability analysis and output regulation control design of Boolean control networks

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Science China(Information Sciences) 2017年第2期60卷 18-29页

作者： haitao li Yuzhen WANG Peilian GUO School of Mathematical Science Shandong Normal University School of Control Science and Engineering Shandong University

This paper investigates the output reachability and output regulation control design of Boolean control networks(BCNs) by using the semi-tensor product method, and presents a number of new ***, the concept of output reachability is proposed for BCNs, and some necessary and sufficient conditions are presented for the verification of output reachability. Second, based on the output reachability of BCNs and the attractor set of the reference Boolean network, an effective method is proposed for the control design of the output regulation problem. The study of an illustrative example shows the effectiveness of the obtained new results.

关键词： Boolean control network output reachability output regulation control design semi-tensor prod uct of matrices

A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays

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IEEE/CAA Journal of Automatica Sinica 2018年第4期5卷 818-826页

作者： Guodong Zhao Yuzhen Wang haitao li School of Mathematics and Statistics Shandong Normal UniversityJinan 250014China School of Control Science and Engineering Shandong UniversityJinan 250061China

Using the semi-tensor product method, this paper investigates the modeling and analysis of networked evolutionary games(NEGs) with finite memories, and presents a number of new results. Firstly, a kind of algebraic expression is formulated for the networked evolutionary games with finite memories, based on which the behavior of the corresponding evolutionary game is analyzed. Secondly, under a proper assumption, the existence of Nash equilibrium of the given networked evolutionary games is proved and a free-type strategy sequence is designed for the convergence to the Nash equilibrium. Finally, an illustrative example is worked out to support the obtained new results.

关键词： Fictitious play process Nash equilibrium networked evolutionary games(NEGs) semi-tensor product of matrices