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On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L^(p)

Chinese Annals of mathematics,Series B 2022年第5期43卷 749-772页

作者： Ruilin HU Ping ZHANG Academy of Mathematics&Systems Science the Chinese Academy of SciencesBeijing 100190China Academy of Mathematics&Systems Science and Hua Loo-Keng Key Laboratory of Mathematics the Chinese Academy of SciencesBeijing 100190China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049China

Given initial data u0 ∈ L^(p)(R^(3)) for some p in [3,18/5 [,the auhtors first prove that3 D incompressible Navier-Stokes system has a unique solution μ=μL+v with μL=^(def)e^(t△)μ_(0) and ν∈L^(∞)([0,T];H^(5/2)-^(6/p)∩L^(1)([0,T];H^(9/2-6/p) for some positive time *** they derive an explicit lower bound for the radius of space analyticity of v,which in particular extends the corresponding results in [Chemin,J.-Y.,Gallagher,*** Zhang,P.,On the radius of analyticity of solutions to semi-linear parabolic system,***.,27,2020,1631-1643,Herbst,*** Skibsted,E.,Analyticity estimates for the Navier-Stokes equations,*** Math.,228,2011,1990-2033] with initial data in H^(s)(R^(3)) for s ∈ [1/2,3/2[.

关键词： Incompressible Navier-Stokes equations Radius of analyticity Littlewood-Paley theory

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Hints from Hertz: Dynamic Frequency Scaling Side-Channel Analysis of Number Theoretic Transform in Lattice-Based KEMs

IACR Transactions on Cryptographic Hardware and Embedded Sys...

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IACR Transactions on Cryptographic Hardware and Embedded systems 2024年第3期2024卷 200-223页

作者： Yu, Tianrun Cheng, Chi Yang, Zilong Wang, Yingchen Pan, Yanbin Weng, Jian Hubei Key Laboratory of Intelligent Geo-Information Processing School of Computer Science China University of Geosciences Wuhan China State Key Laboratory of Integrated Services Networks Xidian University Xian China The University of Texas at Austin AustinTX United States Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China College of Information Science and Technology Jinan University Guangzhou China

Number Theoretic Transform (NTT) has been widely used in accelerating computations in lattice-based cryptography. However, attackers can potentially launch power analysis targeting the NTT because it is one of the most time-consuming parts of the implementation. This extended time frame provides a natural window of opportunity for attackers. In this paper, we investigate the first CPU frequency leakage (Hertzbleed-like) attacks against NTT in lattice-based KEMs. Our key observation is that different inputs to NTT incur different Hamming weights in its output and intermediate layers. By measuring the CPU frequency during the execution of NTT, we propose a simple yet effective attack idea to find the input to NTT that triggers NTT processing data with significantly low Hamming weight. We further apply our attack idea to real-world applications that are built upon NTT: CPA-secure Kyber without Compression and Decompression functions, and CCA-secure NTTRU. This leads us to extract information or frequency hints about the secret key. Integrating these hints into the LWE-estimator framework, we estimate a minimum of 35% security loss caused by the leakage. The frequency and timing measurements on the Reference and AVX2 implementations of NTT in both Kyber and NTTRU align well with our theoretical analysis, confirming the existence of frequency side-channel leakage in NTT. It is important to emphasize that our observation is not limited to a specific implementation but rather the algorithm on which NTT is based. Therefore, our results call for more attention to the analysis of power leakage against NTT in lattice-based cryptography. © 2024, Ruhr-University of Bochum. All rights reserved.

关键词： Side channel attack

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The Structure Entropy of Social Networks

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Journal of systems science & Complexity 2024年第3期37卷 1147-1162页

作者： LI Zhenpeng YAN Zhihua YANG Jian TANG Xijin School of Electronics and Information Engineering Taizhou UniversityLinhai 317000China Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China Yunnan Key Laboratory of Smart City in Cyberspace Security Yuxi Normal UniversityYuci 653100China University of Chinese Academy of Sciences Beijing 100039China

Micro triadic structure is an important motif and serves the building block of complex *** this paper,the authors define structure entropy for a social network and explain this concept by using the coded triads proposed by Davis and Leinhardt in *** proposed structure entropy serves as a new macro-evolution index to measure the network’s stability at a given *** analysis of real-world network structure entropy discloses rich information on the mechanism that yields given triadic motifs frequency *** paper illustrates the intrinsic link between the micro dyadic/triadic motifs and network structure ***,the authors find that the high proportion of reciprocity and transitivity results in the emergence of hierarchy,order,and cooperation of online social networks.

关键词： Dyadic and triadic motifs network structure entropy reciprocity and transitivity

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A Model-Free Resilient Tracking control Scheme for Non-Affine Nonlinear Continuous systems with Uncertainties 41

A Model-Free Resilient Tracking Control Scheme for Non-Affin...

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第41届中国控制会议

作者： Kun Zhang Wenchao Xue Ran Zhang Cui Wei School of Astronautics Beihang University Key Laboratory of Systems and Control Institute of Systems ScienceAcademy of Mathematics and Systems ScienceChinese Academy of Sciences Institute of Intelligent Manufacturing Nanjing Tech University

ISBN: (数字)9789887581536

ISBN: (纸本)9781665482561

In this paper,a model-free integral reinforcement learning(IRL) resilient tracking control scheme has been proposed for a class of non-affine nonlinear systems with *** using the precompensation technique,the actual working control has been transformed into the state of compensator,and an augmented tracking system converts the optimal tracking control problem into an optimal regulation *** applying the reinforcement learning(RL) technique,the designed method can avoid the dynamic information directly during the iteration learning process,and obtain the model-free resilient tracking ***,the developed algorithm overcomes the limitations and strict assumptions of conventional optimal tracking control in dealing with a non-affine nonlinear ***,with the use of polynomial approximation structure and the least square method,practicability in the implementing process has been guaranteed ***,two examples in the simulation are given to demonstrate the validity and feasibility of the proposed model-free IRL resilient tracking control.

关键词： Adaptive dynamic programming Resilient control Nonlinear system Tracking control Integral reinforcement learning

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The DAO to Metacontrol for Metasystems in Metaverses:The System of Parallel control systems for Knowledge Automation and control Intelligence in CPSS

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IEEE/CAA Journal of Automatica Sinica 2022年第11期9卷 1899-1908页

作者： Fei-Yue Wang The State Key Laboratory for Management and Control of Complex Systems Chinese Academy of SciencesBeijing100190Chi the Macao Institute of Systems Engineering Macao University of Science and TechnologyMacao999078China

An investigation and outline of Metacontrol and Decontrol in Metaverses for control intelligence and knowledge automation are *** control with prescriptive knowledge and parallel philosophy is proposed as the starting point for the new control philosophy and technology,especially for computational control of metasystems in cyberphysical-social *** argue that circular causality,the generalized feedback mechanism for complex and purposive systems,should be adapted as the fundamental principle for control and management of metasystems with metacomplexity in ***,an interdisciplinary approach is suggested for Metacontrol and Decontrol as a new form of intelligent control based on five control metaverses:MetaVerses,MultiVerses,InterVerses,TransVerse,and DeepVerses.

关键词： Metacontrol Metasystems Metaverses CPSS DAO Decontrol Prescriptive control Parallel control Computational control Knowledge Automation control Intelligence Parallel Intelligence

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CNF Characterization of Sets over Z2~n and Its Applications in Cryptography

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Journal of systems science & Complexity 2024年

作者： HU Xiaobo XU Shengyuan TU Yinzi FENG Xiutao ZHANG Weihan Beijing Smartchip Microelectronics Technology Company Limited Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems Science Chinese Academy of Sciences University of Chinese Academy of Sciences Winchester College

In recent years, automatic search has been widely used to search differential characteristics and linear approximations with high probability/correlation in symmetric-key cryptanalyses. Among these methods, the automatic search with the Boolean satisfiability problem（SAT, in short） gradually becomes a powerful cryptanalysis tool. A key problem in the SAT-based automatic search method is how to fully characterize a set S ? {0, 1}~n with as few Conjunctive normal form（CNF, in short）clauses as possible, which is called a full CNF characterization（FCC, in short） problem. In this work,the authors establish a complete theory to solve a best solution of an FCC problem. Specifically, the authors start from plain sets, which can be characterized by exactly one clause. By exploring mergeable sets, the authors give a sufficient and necessary condition for characterizing a plain set. Based on the properties of plain sets, the authors further provide an algorithm of solving an FCC problem for a given set S, which can generate all the minimal plain closures of S and produce a best FCC theoretically. As application, the authors apply the proposed algorithm to many common S-boxes used in block ciphers to characterize their differential distribution tables and linear approximation tables and get their FCCs,all of which are the best-known results at present.

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Distributed Recursive Projection Identification with Binary-Valued Observations

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Journal of systems science & Complexity 2021年第5期34卷 2048-2068页

作者： WANG Ying ZHAO Yanlong ZHANG Ji-Feng Key Laboratory of Systems and Control Institute of Systems ScienceAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical Sciences University of Chinese Academy of SciencesBeijing 100049China.

This paper investigates a distributed recursive projection identification problem with binaryvalued observations built on a sensor network,where each sensor in the sensor network measures partial information of the unknown parameter only,but each sensor is allowed to communicate with its neighbors.A distributed recursive projection algorithm is proposed based on a specific projection operator and a diffusion *** authors establish the upper bound of the accumulated regrets of the adaptive predictor without any requirement of excitation ***,the convergence of the algorithm is given under the bounded cooperative excitation condition,which is more general than the previously imposed independence or persistent excitations on the system regressors and maybe the weakest one under binary observations.A numerical example is supplied to demonstrate the theoretical results and the cooperative effect of the sensors,which shows that the whole network can still fulfill the estimation task through exchanging information between sensors even if any individual sensor cannot.

关键词： Adaptive predictor binary-valued observations cooperative excitations distributed parameter estimation

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Social Radars: Finding Targets in Cyberspace for Cybersecurity

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IEEE/CAA Journal of Automatica Sinica 2024年第2期11卷 279-282页

作者： Lili Fan Changxian Zeng Yutong Wang Jiaqi Ma Fei-Yue Wang School of Information and Electronics Beijing Institute of TechnologyBeijing 100081China School of Science Dalian Minzu UniversityDalian 116600China State Key Laboratory for Management and Control of Complex Systems Institute of AutomationChinese Academy of SciencesBeijing 100190China Department of Civil and Environmental Engineering University of CaliforniaLos AngelesCA 90024 USA IEEE State Key Laboratory for Management and Control of Complex Systems Chinese Academy of SciencesBeijing 100190 Faculty of Innovation Engineering Macao University of Science and TechnologyMacao 999078China

INSPIRED by the insight from American political scientist Lasswell, who summarized the environmental role in societal surveillance [1], Schramm coined the term “social radar” [2] as it resembles the activities of radar in collecting and processing information, playing a crucial role in helping humans perceive changes in the internal and external environment and promptly adjusting adaptive behaviors.

关键词： prompt summarized insight

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Regularized Continuation Method For Motion Planning 63

Regularized Continuation Method For Motion Planning

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63rd IEEE Conference on Decision and control, CDC 2024

作者： Ji, Zhengping Chitour, Yacine Trelat, Emmanuel University of Chinese Academy of Sciences Key Laboratory of Systems and Control Academy of Mathematics and Systems Science School of Mathematical Sciences Beijing100190 China ParisF-75005 France Gif-sur-Yvette91190 France ParisF-75005 France

ISBN: (纸本)9798350316339

In this article, we investigate the motion planning problem for control-affine systems with nontrivial drifts using a regularized homotopy continuation method. We prove that when there exists a nonsingular solution of the original motion planning problem, the regularized solution converges to it almost everywhere, and the endpoints derived from the regularized solutions converge to the desired target point, may the solution of the classical continuation method is well defined or not. This provides a way to design the steering control in the presence of singular controls when the classical continuation method is not applicable. The effectiveness of the regularization is illustrated by numerical experiments on the rolling systems. © 2024 IEEE.

关键词： Motion planning

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A novel opinion model for complex macro-behaviors of mass opinion

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science China(Information sciences) 2021年第2期64卷 261-263页

作者： Yu XING Yiguang HONG Haitao FANG Key Laboratory of Systems and Control Academy of Mathematics and Systems ScienceChinese Academy of Sciences School of Mathematical Sciences University of Chinese Academy of Sciences

Dear editor,Opinion evolution is ubiquitous in everyday life. People often alter their attitudes or behaviors such that they can be more similar to or different from others. These processes of social influence may occur because of several reasons, e.g.,persuasion and conformity. In fact, opinion dynamics concerns important topics in social sciences, such as community cleavage, political opinion, and social organization [1–3].Therefore, various mathematical models have been proposed to reveal the underlying mechanisms [1, 4].

关键词： Social networks Opinion dynamics DeGroot model Friedkin-Johnson model Mass opinion Macro-behavior

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