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第42届中国控制会议

作者： Shuting Fan Jun Hu Chaoqing Jia Hairui Zhao Department of Applied Mathematics Harbin University of Science and Technology Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology School of Automation Harbin University of Science and Technology

In this paper, the outlier-resistant distributed filtering problem based on amplify-and-forward relays is studied for discrete time-varying nonlinear multi-rate systems with multiple measurement delays over sensor networks, where the augmenting method is utilized to transform the multi-rate system into a single rate system. An amplify-and-forward(AF) relay is set between the sensor and the filter to extend the transmission distance of the signal and ensure the communication transmission *** outlier-resistant distributed filter is constructed by introducing a saturation function to limit the innovations, then the upper bound on the filtering error covariance is obtained and the filter gain is designed to minimize such obtained upper bound. Finally,a numerical example is used to show the effectiveness of the outlier-resistant distributed filtering algorithm based on AF relays.

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Recursive Filtering for Time-Varying Nonlinear Delayed systems with Stochastic Parameter Matrices and Censored Measurements

Recursive Filtering for Time-Varying Nonlinear Delayed Syste...

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第42届中国控制会议

作者： Shuo Yang Jun Hu Peixia Gao Ruijie Dong Zhihui Wu Department of Applied Mathematics Harbin University of Science and Technology Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology School of Automation Harbin University of Science and Technology

This paper discusses the design problem of recursive filtering method for time-varying nonlinear delayed systems(NDSs) with stochastic parameter matrices(SPMs) and censored *** particular,the Tobit Type Ⅰ model provides a description of the censored *** main objective of this paper is to construct a recursive filter for NDSs with both SPMs and censored *** upper bound of the filtering error covariance is first calculated via mathematical induction,and the upper bound is then minimized by choosing proper filter ***,a sufficient condition is provided to guarantee that the filtering error is uniformly bounded in the mean-square ***,the viability and applicability of the proposed filterin g method are demonstrated using a numerical simulation.

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Distributed Resilient State Estimation for Time-Varying Fractional-Order Discrete Complex Networks with Encoding-Decoding Scheme

Distributed Resilient State Estimation for Time-Varying Frac...

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第42届中国控制会议

作者： Yu Chen Jun Hu Jiaxing Li Aozhan Zhou Hui Yu Department of Applied Mathematics Harbin University of Science and Technology Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology School of Automation Harbin University of Science and Technology

In this paper,the distributed state estimation method with resilient attenuation feature is proposed for time-varying fractional-order complex networks under encoding-decoding *** encoding-decoding-induced dynamic errors for distinct nodes are characterized by the truncated Gaussian *** order to compensate the effects induced by encodingdecoding scheme,the variances of encoding-decoding-induced dynamic errors are considered in process of designing the resilient distributed estimation *** particular,the upper bounds of updated estimation error covariances are derived ***,the upper bounds are minimized by constructing the gain matrices at each sampling ***,a sufficient condition is provided to guarantee the boundedness of estimation error dynamics in the mean-square ***,the validity of distributed resilient state estimation scheme is demonstrated by a simulation example.

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Design of Recursive Filtering Scheme via An Improved Weighted Try-Once Discard Protocol

Design of Recursive Filtering Scheme via An Improved Weighte...

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International Conference on Industrial Artificial Intelligence (IAI)

作者： Kaiwen Zheng Jun Hu Junhua Du Hui Yu Department of Applied Mathematics Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China School of Automation Harbin University of Science and Technology Harbin China

ISBN: (数字)9798350356618

ISBN: (纸本)9798350356625

This paper investigates the recursive filtering (RF) problem for stochastic multi-rate (MR) systems, where the information transmission is regulated by an improved weighted try-once-discard protocol (IWTODP). In order to reduce communication overhead and mitigate network congestion, the IWTODP is firstly proposed and designed to schedule the order of data transmission from the sensors. The main objective of this paper is to design a new RF scheme to minimize the upper bound (UB) on the filtering error (FE) covariance in each iteration step in the presence of IWTODP and MR sampling. In particular, an iterative way is given to provide the expression form of the gain of RF. Finally, the effectiveness of the proposed RF method is illustrated through simulation example.

关键词： Radio frequency Schedules Protocols Upper bound Filtering Filtering algorithms Iron Sensor systems Data communication State estimation

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Quantized control for Highly Nonlinear Stochastic systems with Multiple Delays under DoS Attacks

Quantized Control for Highly Nonlinear Stochastic Systems wi...

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Chinese control Conference (CCC)

作者： Hairui Zhao Dongyan Chen Jun Hu School of Science Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China School of Automation Harbin University of Science and Technology Harbin China

In this paper, the quantized control problem is discussed for a class of highly nonlinear stochastic systems with multiple delays under the DoS attacks. The coefficients are allowed to be highly nonlinear, and the control input is subject to the quantization effects and the DoS attacks. The aim is to deal with the stabilization problem for unstable highly nonlinear stochastic systems with multiple delays. The $p-\text{th}$ moment exponential stability and almost surely exponential stability are discussed in light of the Lyapunov theory. Finally, an illustrative example is given to verify the validity of the theoretical results.

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An Adaptive Event-triggered Nonlinear Filtering for Power systems Subject to Hybrid Measurements and Multiple Cyber-Attacks

An Adaptive Event-triggered Nonlinear Filtering for Power Sy...

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IEEE International Conference on control Science and systems Engineering (CCSSE)

作者： Jinpeng Huang Jun Hu Jiaxing Li Zhipeng Cao Department of Mathematics Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China

In this paper, an adaptive event-triggered filtering problem is discussed for power systems subject to multiple cyberattacks and hybrid measurements. A model describing the multiple cyber-attacks is constructed, which includes the denial of service attack and replay attack. In order to decrease the data transmission frequency, according to the practical requirements, an adaptive event-triggered strategy is adopted to schedule the node transmission. To be specific, the upper bound of the estimation error covariance is firstly obtained by solving the difference equations and employing the time-stamp method. Next, the desired estimator gain matrix is designed by minimizing the corresponding upper bound. Finally, an illustrative example is used to demonstrate the effectiveness of the proposed estimation algorithm.

关键词： Estimation error Schedules Upper bound Power measurement Adaptive systems Filtering Stochastic processes

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Distributed Resilient State Estimation for Time-Varying Fractional-Order Discrete Complex Networks with Encoding-Decoding Scheme

Distributed Resilient State Estimation for Time-Varying Frac...

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Chinese control Conference (CCC)

作者： Yu Chen Jun Hu Jiaxing Li Aozhan Zhou Hui Yu Department of Applied Mathematics Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China School of Automation Harbin University of Science and Technology Harbin China

In this paper, the distributed state estimation method with resilient attenuation feature is proposed for time-varying fractional-order complex networks under encoding-decoding mechanism. The encoding-decoding-induced dynamic errors for distinct nodes are characterized by the truncated Gaussian distributions. In order to compensate the effects induced by encoding-decoding scheme, the variances of encoding-decoding-induced dynamic errors are considered in process of designing the resilient distributed estimation algorithm. In particular, the upper bounds of updated estimation error covariances are derived firstly. Subsequently, the upper bounds are minimized by constructing the gain matrices at each sampling instant. Besides, a sufficient condition is provided to guarantee the boundedness of estimation error dynamics in the mean-square sense. Finally, the validity of distributed resilient state estimation scheme is demonstrated by a simulation example.

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Recursive Filtering for Time-Varying Nonlinear Delayed systems with Stochastic Parameter Matrices and Censored Measurements

Recursive Filtering for Time-Varying Nonlinear Delayed Syste...

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Chinese control Conference (CCC)

作者： Shuo Yang Jun Hu Peixia Gao Ruijie Dong Zhihui Wu Department of Applied Mathematics Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China School of Automation Harbin University of Science and Technology Harbin China

This paper discusses the design problem of recursive filtering method for time-varying nonlinear delayed systems (NDSs) with stochastic parameter matrices (SPMs) and censored measurements. In particular, the Tobit Type I model provides a description of the censored measurements. The main objective of this paper is to construct a recursive filter for NDSs with both SPMs and censored measurements. The upper bound of the filtering error covariance is first calculated via mathematical induction, and the upper bound is then minimized by choosing proper filter gain. Besides, a sufficient condition is provided to guarantee that the filtering error is uniformly bounded in the mean-square sense. Finally, the viability and applicability of the proposed filtering method are demonstrated using a numerical simulation.

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Outlier-Resistant Distributed Filtering for Multi-Rate Nonlinear systems Under Amplify-and-Forward Relays

Outlier-Resistant Distributed Filtering for Multi-Rate Nonli...

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Chinese control Conference (CCC)

作者： Shuting Fan Jun Hu Chaoqing Jia Hairui Zhao Department of Applied Mathematics Harbin University of Science and Technology Harbin China Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology Harbin China School of Automation Harbin University of Science and Technology Harbin China

In this paper, the outlier-resistant distributed filtering problem based on amplify-and-forward relays is studied for discrete time-varying nonlinear multi-rate systems with multiple measurement delays over sensor networks, where the augmenting method is utilized to transform the multi-rate system into a single rate system. An amplify-and-forward (AF) relay is set between the sensor and the filter to extend the transmission distance of the signal and ensure the communication transmission quality. The outlier-resistant distributed filter is constructed by introducing a saturation function to limit the innovations, then the upper bound on the filtering error covariance is obtained and the filter gain is designed to minimize such obtained upper bound. Finally, a numerical example is used to show the effectiveness of the outlier-resistant distributed filtering algorithm based on AF relays.

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Mathematical analysis of Global Dynamics and Optimal control of Treatment for an Age-Structured HBV Infection Model

SSRN

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SSRN 2023年

作者： Liu, Lili Ma, Xiaomin Li, Yazhi Liu, Xianning Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention Complex Systems Research Center Shanxi University Taiyuan030006 China Key Laboratory of Complex Systems and Intelligent Optimization of Guizhou province School of Mathematics and Statistics Qiannan Normal University for Nationalities Guizhou Duyun558000 China School of Mathematics and Statistics Southwest University Chongqing400715 China

Evidences shows that cell-to-cell infection occurs in HBV infection and is a more efficient way which may lead to more than half of viral infection. Hence, we formulate an HBV infection model with cell-to-cell infection, meanwhile, we incorporate the infection age of infected cells. For dynamic behaviors, we firstly establish the well-posedness of the model and asymptotic smoothness of the solution, and then show the global threshold dynamical behaviors, which is determined by the reproduction number, finally perform the numerical simulation not only to verify theoretical results but also explore the effects of cell-to-cell infection on the viral load and infection concentration. Our finding is that ignoring the cell-to-cell infection will underestimate the actually HBV infection status. For optimal control of treatment for HBV, we introduce two time-varying control measures and investigate the corresponding optimal control problem. We derive the characteristic express of optimal control and discuss the effects of control costs and control combination. The results show high control cost will not result in better control effectiveness, while integrated optimal control can reach the best control objectives compared with two single controls, moreover, age can greatly influences the HBV infection at the initial stage. © 2023, The Authors. All rights reserved.

关键词： Cell proliferation

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