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ISS -equilibrium with stability analysis for disturbed game-based impulsive systems

Automatica 2025年 179卷

作者： Wenlu Liu Chuandong Li Xiaodi Li Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing College of Electronic and Information Engineering Southwest University Chongqing 400715 PR China School of Mathematics and Statistics Shandong Normal University Ji’nan 250014 PR China

This paper focuses on a class of two-player differential games subject to exogenous disturbances, where one player employs piecewise-continuous control, and the other uses impulsive control. Particularly, the exploration of equilibrium solution in differential games is accompanied by the stability performance analysis of relevant system. To be more specific, the construction of saddle point in zero-sum differential game and Nash equilibrium in nonzero-sum differential game is established under the Lyapunov criteria for input-to-state stability ( ISS ). Furthermore, owing to the existence of external disturbances and the characterization of ISS property, two extended equilibrium solution concepts are introduced. We propose the definition of ϵ - ISS saddle point and ϵ - ISS Nash equilibrium for which the corresponding verification theorems are formulated. Finally, two numerical experiments are provided to illustrate the proposed results.

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Application of multiple two-dimensional interpolation methods to bathymetric data on the FVCOM unstructured triangular grid

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Applied Mathematics and Computation 2025年 507卷

作者： Zongli Ruan Guobing Qian Yiwei Wang Jia Xiao College of Science China University of Petroleum (East China) Qingdao 266580 PR China Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing College of Electronic and Information Engineering Southwest University Chongqing 400715 PR China

In general, the ocean bathymetric dataset is defined on a uniform rectangular grid, whereas FVCOM employs an unstructured triangular grid. Consequently, it is necessary to interpolate the data from the nodes of the rectangular grid onto those of the triangular grid. The nearest neighbor method, bilinear method, and inverse distance weighting (IDW) method are three commonly utilized two-dimensional interpolation techniques, and inverse distance weighted regression (IDWR) represents a more recent interpolation approach. In this study, these methods were applied to interpolate the bathymetric data of the Hormuz Strait and the North Indian Ocean onto the FVCOM triangular grid. The experimental results demonstrate that a very small error in the interpolation of bathymetric data was achieved. Additionally, these methods were compared with the interpolation techniques provided by the MATLAB system. The comparative analysis reveals that the bilinear method can achieve a superior interpolation effect compared to the other three methods.

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An ECG Monitoring System Based on Android

An ECG Monitoring System Based on Android

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International Conference on intelligent Human-Machine Systems and Cybernetics, IHMSC

作者： Ruiqi Zhang Zhengchun Hua Chen Chen Guangyuan Liu Wanhui Wen School of Electronic and Information Engineering Southwest University Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing Chongqing China

ISBN: (数字)9781728165172

ISBN: (纸本)9781728165189

This study aims to design a real-time electrocardiogram (ECG) and heart rate monitoring system based on Android. The system connects Android device and a Shimmer3 ECG module, which is a wearable ECG device collecting ECG data with five electrodes. The ECG signal is amplified and filtered by internal circuit processing in Shimmer3 ECG module, and the ECG data is transmitted to an Android phone via Bluetooth. The baseline drift in ECG signal is removed through wavelet decomposition and reconstruction. Then, the processed ECG data are used to find the R wave peaks by an algorithm for automatic R peak locating and RR interval calculation. RR interval waveform is plotted and displayed on an Android phone in real time. Finally, ECG and RR intervals are saved for data playback and subsequent analysis.

关键词： Electrocardiography Bluetooth Real-time systems Smart phones Monitoring Heart rate

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Row-Stochastic Matrices Based Distributed Optimization Algorithm with Uncoordinated Step-Sizes 6

Row-Stochastic Matrices Based Distributed Optimization Algor...

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6th International Conference on information, Cybernetics, and Computational Social Systems, ICCSS 2019

作者： Li, Huaqing Wang, Jinmeng Wang, Zheng Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing College of Electronic and Information Engineering Southwest University Chongqing China

ISBN: (纸本)9781728158570

This paper investigates the distributed optimization problem over multi-agent networks, in which the target of agents is to collaboratively optimize the sum of all local objective functions. Each local objective function is uniquely known by a single agent. We concentrate on the scenario where communication among agents is portrayed as directed graphs. Based on the exact first order method, a fully distributed optimization algorithm is proposed to deal with the optimization problem. The proposed algorithm utilizes row-stochastic matrices and uncoordinated step-sizes, which exactly drives all agents to converge to the global optimization solution. Under the assumptions that the global objective function is strong convex and the local objective functions have Lipschitz continuous gradient, we show that the proposed algorithm linearly converges to the global optimization solution as long as the maximum step-size of agents does not exceed an explicitly characterized upper bound. Finally, numerical experiments are presented to demonstrate the correctness of theoretical analysis. © 2019 IEEE.

关键词： Directed graphs

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Robust Multi-kernel Generalized Maximum Correntropy Filters

Robust Multi-kernel Generalized Maximum Correntropy Filters

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IEEE International Conference on Electronic information and Communication Technology (ICEICT)

作者： Qiaona Sun Tao Zhang Xuewei Huang Shiyuan Wang College of Electronic and Information Engineering Southwest University Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing Chongqing China

ISBN: (数字)9781728190457

ISBN: (纸本)9781728190464

The traditional multi-kernel filtering algorithms are proposed by combining multiple kernel with the second similarity measure. Nevertheless, these multi-kernel filters suffer from both heavy computation burden and divergence for impulsive noise environments. To deal with these challenges for online applications, the multi-kernel generalized maximum correntropy (MKGMC) algorithm is developed for improving both precision and stability under the generalized maximum correntropy criterion. To alleviate the complex network structure of MKGMC, using the vector quantization strategy in MKGMC develops quantized MKGMC (QMKGMC) to reduce the computational and spatial complexity. From the viewpoints of precision and stability, the proposed algorithms outperform other typical compared algorithms on time series prediction.

关键词： Vector quantization Stability criteria Time series analysis Filtering algorithms Predictive models Prediction algorithms Robustness

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Evolution of Facial Tissue Oxygen Saturation and Detection of Human Physical Stress

Evolution of Facial Tissue Oxygen Saturation and Detection o...

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Image processing, Electronics and Computers (IPEC), Asia-Pacific Conference on

作者： Xinyu Liu Xiao Xiao Ranlei Cao Tong Chen Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing School of Electronic and Information Engineering Southwest University Chongqing China

ISBN: (数字)9781728160672

ISBN: (纸本)9781728160689

Physical stress has a direct impact on human health, which makes the detection of physical stress necessary in daily life. In this paper, we extracted tissue oxygen saturation (StO2) by hyperspectral imaging to detect and distinguish physical stress from relaxation state remotely. During the physical stress experiment, we observed that the facial StO2 right after the stress can be either increased and decreased comparing to the baseline, the StO2 after two minutes recovered towards the baseline. This changes of StO2 is reported for the first time. Based on the findings, we also located some useful ROIs on face for the detection of human physical stress.

关键词： physical stress stress detection tissue oxygen saturation hyperspectral imaging physical stress hyperspectral imagery human health Oximetry Face

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A Distributed Dynamic Resource Allocation Strategy in A Large-scale Micro-grids Group 6

A Distributed Dynamic Resource Allocation Strategy in A Larg...

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6th International Conference on information, Cybernetics, and Computational Social Systems, ICCSS 2019

作者： Fu, Zao He, Xing Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing College of Electronic and Information Engineering Southwest University Chongqing China

ISBN: (纸本)9781728158570

In this paper, a dynamic economic dispatch problem (DEDP) with renewable energy generators is studied. With the purpose of minimizing the cost of DEDP and optimally allocate the load demand among the interconnected generators considering ramp-rate limits and generation limits, an effective continuous-time distributed algorithm based on interior point methods and primal-dual methods is proposed. In order to overcome the drawbacks of the renewable energy, a parallel system composed with flywheel energy storage systems and renewable energy generators is proposed to work in a constant power output mode. In addition, the using of switched systems makes the optimal solution more accurate. The excellent performance of the proposed algorithm is verified by IEEE 30-bus system with the REG based simulation. © 2019 IEEE.

关键词： Continuous time systems

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Effects of acute moderate intensity exercise on emotion based on beta power in EEG 3

Effects of acute moderate intensity exercise on emotion base...

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3rd International Conference on Computer Science and Artificial Intelligence, CSAI 2019 and its Workshop - The 11th International Conference on information and Multimedia Technology, ICIMT 2019

作者： Gao, Pengfei Long, Zhengji Xiao, Zhangyan Yang, Fu Zhang, Jihai Liu, Guangyuan School of Electronic and Information Engineering Southwest University Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Processing Chongqing China

ISBN: (纸本)9781450376273

According to previous studies, high anxiety leads to an increase in beta power, while pleasure and relaxation of emotion reduces beta power. In this experiment, the International Standard Picture Stimulation Library(IAPS) was used to induce positive and negative emotions of subjects, and EEG signals were collected when subjects were looking at pictures. Comparing the beta power of positive and negative EEG induced by before and after exercise, we found that the power of beta stimulated by positive and negative pictures before exercise is generally greater than that after exercise. It indicates that subjects were happier when facing positive stimuli than before exercise, and less negative emotions were produced when facing negative stimuli than before exercise. In short, acute moderate intensity exercise can improve people's negative emotion in the face of negative stimuli. The purpose of this study is to explore the mechanism of the effect of acute moderate intensity exercise on emotion by analyzing beta power in late positive potential (LPP). © 2019 Association for Computing Machinery.

关键词： Facings

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Effects of Acute Moderate Intensity Exercise on Emotion Based on beta Power in EEG 2019

Effects of Acute Moderate Intensity Exercise on Emotion Base...

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Proceedings of the 2019 3rd International Conference on Computer Science and Artificial Intelligence

作者： Pengfei Gao Zhengji Long Zhangyan Xiao Fu Yang Jihai Zhang Guangyuan Liu School of Electronic and Information Engineering Southwest University Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Processing Chongqing China

ISBN: (纸本)9781450376273

关键词： moderate emotion exercise beta power

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Kernel Least Mean Square Based on the Sparse Nyström Method

Kernel Least Mean Square Based on the Sparse Nyström Method

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IEEE International Symposium on circuits and Systems (ISCAS)

作者： Haonan Zhang Han Jiang Shiyuan Wang Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing College of Electronic and Information Engineering Southwest University Chongqing 400715 China

ISBN: (数字)9781728133201

ISBN: (纸本)9781728133218

Kernel least mean square based on the Nyström method (NysKLMS) has been proposed to fix the network structure of kernel least mean square (KLMS) by approximating a large Gram matrix with a low-rank matrix generated by sampling from input vectors. However, the computational burden of NysKLMS increases with the growth of the input dimension. To alleviate this computational burden, a novel KLMS based on a sparse Nyström method (SNKLMS) algorithm is proposed in this paper. Unlike NysKLMS using the k-means sampling to obtain k centroids from input data, the proposed SNKLMS algorithm first divides input data into several clusters, and then selects k centroids from the obtained clusters equally. According to the relation between the Gaussian kernel and the distance of different clusters, partial submatrices in the low-rank matrix of SNKLMS can be omitted to further reduce the operations of multiplication and addition, and thus a sparse low-rank matrix is obtained. Simulations on the channel equalization and chaotic time-series prediction validate the superiorities of SNKLMS.

关键词： Kernel Sparse matrices Signal processing algorithms Approximation algorithms Clustering algorithms Matrix decomposition Training data

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