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Optimal Dynamic Lyapunov Function and The Largest Estimation of Domain of Attraction

IFAC-PapersOnLine 2017年第1期50卷 2645-2650页

作者： Monfared M.N. Yazdanpanah M.J. Department of Electrical Engineering Faculty of Electrical Biomedical and Mechatronic Qazvin Branch Islamic Azad University Qazvin Iran Control & Intelligent Processing Center of Excellence School of Electrical and Computer Engineering University of Tehran Tehran Iran

Estimation of the domain of attraction is one of the major difficulties in the analysis of any nonlinear control system. Exact expression of a candidate Lyapunov function is indispensable for the estimation. The optimal Lyapunov function which helps to estimate the domain of attraction exactly is acquired by solving a partial differential equation that is not solvable easily for all of the systems. In this paper, an algebraic equation is proposed instead of the partial differential equation to acquire optimal Lyapunov function. The key tool for this purpose is dynamic Lyapunov function which makes it possible to have an analytic expression of a family of candidate Lyapunov functions that are parametric and functional. The parameters and functions would be selected such that the optimal Lyapunov function is achieved. As the second contribution of this paper, the problem of optimality in the sense of the largest elliptical estimation of region of attraction would be followed up. Using a linear matrix inequality technique and a special criterion it is shown that dynamic Lyapunov function can leads to a larger elliptical estimation than that of the conventional Lyapunov function. © 2017

关键词： Domain of Attraction Lyapunov function Nonlinear System

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3D surface stagnography using geometry images

3D surface stagnography using geometry images

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6th International Conference on computer Science and Education, ICCSE 2011

作者： Huang, Qing Iyengar, S.S. Li, Xin Department of Computer Science Center for Computation and Technology Louisiana State University Baton Rouge LA 70803 United States Department of Electrical and Computer Engineering Center for Computation and Technology Louisiana State University Baton Rouge LA 70803 United States

ISBN: (纸本)9781424497188

This paper presents a new 3-d data hiding scheme. By using geometry images, we transform the 3-d data hiding problem into the 2-d image data hiding problem where efficient algorithms can be applied. A modified LSB embedding approach is proposed to embed payload in geometry images. Experimental results show that a large amount of payload can be embedded in the 3-d model without causing too much deformation of the 3-d model. In the end of the paper, we propose a completely new representation of 3-d model as an application of our data hiding method. © 2011 IEEE.

关键词： Steganography

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Where Does AlphaGo Go: From Church-Turing Thesis to AlphaGo Thesis and Beyond

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IEEE/CAA Journal of Automatica Sinica 2016年第2期3卷 113-120页

作者： Fei-Yue Wang Jun Jason Zhang Xinhu Zheng Xiao Wang Yong Yuan Xiaoxiao Dai Jie Zhang Liuqing Yang IEEE the State Key Laboratory of Management and Control for Complex Systems Institute of Automation Chinese Academy of Sciences (SKL-MCCS CASIA) Research Center of Computational Experiments and Parallel Systems The National University of Defense Technology the Department of Electrical and Computer Engineering Ritchie School of Engineering and Computer Science University of Denver the Department of Computer Science and Engineering University of Minnesota the Qingdao Academy of Intelligent Industries (QAII) Qingdao Shandong China and SKL-MCCS CASIA the Department of Electrical and Computer Engineering Colorado State University

An investigation on the impact and significance of the AlphaGo vs. Lee Sedol Go match is conducted, and concludes with a conjecture of the AlphaGo Thesis and its extension in accordance with the Church-Turing Thesis in the history of computing. It is postulated that the architecture and method utilized by the AlphaGo program provide an engineering solution for tackling issues in complexity and intelligence. Specifically, the AlphaGo Thesis implies that any effective procedure for hard decision problems such as NP-hard can be implemented with AlphaGo-like approach. Deep rule-based networks are proposed in attempt to establish an understandable structure for deep neural networks in deep learning. The success of AlphaGo and corresponding thesis ensure the technical soundness of the parallel intelligence approach for intelligent control and management of complex systems and knowledge automation. © 2014 Chinese Association of Automation.

关键词： Religious buildings

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Compressive Sensing-Based Reconstruction of Lissajous-Like Nodding Lidar Data

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ASME Letters in Dynamic Systems and control 2021年第1期1卷 011009页

作者： Benson, Michael T. Sathishchandra, Harish Clayton, Garrett M. Andersson, Sean B. Department of Mechanical Engineering Villanova University VillanovaPA19085 United States Department of Electrical and Computer Engineering Boston University BostonMA02215 United States Center for Nonlinear Dynamics and Control Department of Mechanical Engineering Villanova University VillanovaPA United States Department of Mechanical Engineering Division of Systems Engineering Boston University BostonMA United States

In this article, a compressive sensing-based reconstruction algorithm is applied to data acquired from a nodding multibeam Lidar system following a Lissajous-like trajectory. Multibeam Lidar systems provide 3D depth information of the environment, but the vertical resolution of these devices may be insufficient in many applications. To mitigate this issue, the Lidar can be nodded to obtain higher vertical resolution at the cost of increased scan time. Using Lissajous-like nodding trajectories allows for the trade-off between scan time and horizontal and vertical resolutions through the choice of scan parameters. These patterns also naturally subsample the imaged area. In this article, a compressive sensing-based reconstruction algorithm is applied to the data collected during a relatively fast and therefore low-resolution Lissajous-like scan. Experiments and simulations show the feasibility of this method and compare the reconstructions to those made using simple nearest-neighbor interpolation. © 2021 ASME Letters in Dynamic Systems and control. All rights reserved.

关键词： Compressed sensing

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Hybrid control of rigid-body attitude with synergistic potential functions

Hybrid control of rigid-body attitude with synergistic poten...

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作者： Mayhew, Christopher G. Teel, Andrew R. Robert Bosch Research and Technology Center 4005 Miranda Ave. Palo Alto CA 94304 United States Center for Control Engineering and Computation Electrical and Computer Engineering Department University of California Santa Barbara CA 93106-9560 United States

ISBN: (纸本)9781457700804

Achieving global asymptotic stabilization of rigid-body attitude is impossible using smooth feedback due to topological obstructions. In this paper, we propose a hybrid feedback that coordinates a "synergistic" family of potential functions and their natural feedbacks to achieve global asymptotic stability of a desired attitude with robustness to small perturbations including measurement noise. We illustrate the results via simulation. © 2011 AACC American Automatic control Council.

关键词： Feedback

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Sliding mode congestion control in differentiated service communication networks

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2nd International Conference on Wired/Wireless Internet Communications, WWIC 2004

作者： Ebrahimirad, Hassan Yazdanpanah, M.J. Control and Intelligent Processing Center of Excellence Department of Electrical and Computer Engineering University of Tehran Iran

ISBN: (纸本)3540209549

The rapid growth of the Internet and increased desmand to use the Internet for voice and video applications necessitate the design and utilization of new Internet architectures with effective congestion control algorithms. As a result, the Differentiated Service (Diff-Serv) architectures were proposed to deliver Quality of Service (QoS) in TCP/IP networks. Network congestion control remains a critical and high priority issue, even for the present Internet architecture. The aim of this paper is to design a robust active queue management system to secure high utilization, bounded delay and loss, while the network complies with the demands each traffic class sets. To this end, variable structure control theory is used and a sliding mode congestion controller is designed. Simulation results of the proposed control action demonstrate the effectiveness of the controller in providing robust queue management system. © Springer-Verlag Berlin Heidelberg 2004.

关键词： controllers

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Underwater acoustic intelligent spectrum sensing with multimodal data fusion: An Mul-YOLO approach

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Future Generation computer Systems 2025年 173卷

作者： Li, Yufang Zhang, Liliang Wang, Kai Xu, Lingwei Gulliver, T. Aaron Department of Information Science and Technology Qingdao University of Science and Technology Qingdao266061 China Xiangyang Sub-center of National Engineering Research Center for Water Transport Safety Hubei University of Arts and Science Xiangyang441053 China Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education Jilin University Changchun130012 China Nanning530006 China Department of Electrical and Computer Engineering University of Victoria VictoriaBC V8W 2Y2 Canada

Realizing the Ocean Internet of Things (OIoT) requires diverse and comprehensive real-time marine data. This creates significant demands on spectrum resources for effective underwater communication. Coexisting users in the OIoT can generate massive amounts of data, which results in competition for underwater acoustic spectrum. To address the problem of poor utilization of this spectrum in complex and dynamic ocean environments, this paper proposes an intelligent spectrum sensing scheme based on multimodal data fusion. First, the system obtains time series data for the underwater acoustic signals and a wavelet transform is used to obtain the corresponding image data. The time series and image data constitute multimodal data that provide a more comprehensive time and space perspective and improve the diversity of features. Then, unsupervised learning with a Denoising Autoencoder is used to extract high-quality features from the time series data. Finally, a parallel dual Backbone YOLO network is constructed to compensate for the inability of traditional YOLO to extract multimodal features. One branch captures key temporal features through a network built with deep separable convolutions, while the other branch captures key spatial features using an improved CSPDarknet. This Mul-YOLO network can extract hierarchical structure information from underwater acoustic signals and integrate the diverse multilevel features of the data to achieve accurate spectrum sensing. Compared with Convolutional Neural Network (CNN), ResNet, Swin-Transformer, ConvNext and YOLOv5 algorithms, the average detection probability of the Mul-YOLO algorithm is increased by about 5.9% to 18.9%, and the average false alarm probability is optimized by about 7% to 12.7% in the range of signal-to-noise ratio from −12 dB to 0 dB. The results given show that the proposed algorithm can detect spectrum holes with high accuracy and effectively avoid interference between users. © 2025 Elsevier B.V.

关键词： Image fusion

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An Improved Method for Approximating the Infinite-Horizon Value Function of the Discrete-Time Switched LQR Problem

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Journal of Systems Science & Complexity 2024年第1期37卷 22-39页

作者： HOU Tan LI Yuanlong LIN Zongli Department of Automation Shanghai Jiao Tong UniversityShanghai 200240China Key Laboratory of System Control and Information Processing Ministry of Education of ChinaShanghai 200240China Shanghai Engineering Research Center of Intelligent Control and Management Shanghai 200240China Charles L.Brown Department of Electrical and Computer Engineering University of VirginiaCharlottesvilleVA 22904-4743USA

This paper considers the problem of approximating the infinite-horizon value function of the discrete-time switched LQR *** particular,the authors propose a new value iteration method to generate a sequence of monotonically decreasing functions that converges exponentially to the value *** method facilitates us to use coarse approximations resulting from faster but less accurate algorithms for further value iteration,and thus,the proposed approach is capable of achieving a better approximation for a given computation time compared with the existing *** numerical examples are presented in this paper to illustrate the effectiveness of the proposed method.

关键词： Optimal control switched linear systems switched LQR problem.

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Synergistic potential functions for hybrid control of rigid-body attitude

Synergistic potential functions for hybrid control of rigid-...

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ISBN: (纸本)9781457700804

Achieving global asymptotic stabilization of rigid-body attitude is impossible using smooth feedback;however, this obstruction can be overcome using a hybrid controller that coordinates a "synergistic" family of potential functions and their corresponding feedbacks. In this paper, we show that it is impossible to construct a synergistic family of potential functions from the widely used class of "modified trace functions," despite the fact that one can choose a subset of these functions whose only common critical point is the identity element. With this as motivation, we introduce a parametrized diffeomorphism that is capable of altering the critical behavior of potential functions and generating a synergistic family, paving the way for global asymptotic attitude stabilization of rigid-body attitude by hybrid feedback. © 2011 AACC American Automatic control Council.

关键词： Feedback

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L2-induced gain analysis of switched linear systems via finitely parametrized storage functions

L2-induced gain analysis of switched linear systems via fini...

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作者： Hirata, Kenji Hespanha, João P. Department of Mechanical Engineering Nagaoka University of Technology Nagaoka 940 2188 Japan Department of Electrical and Computer Engineering Center for Control Dynamical Systemsand Computation University of California Santa Barbara CA 93106 United States

ISBN: (纸本)9781424474264

This paper addresses the computation of the L2-induced gain for switched linear systems. The main contribution of the paper is to completely characterize the induced gain of a switched system though a differential inequalities on a finitely parametrized common storage function, one equation for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust stability tools to the analysis of hybrid systems. © 2010 AACC.

关键词： Hybrid systems

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