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Sufficient and necessary conditions for Lyapunov stability of Lorenz system and their application

Science China(Information Sciences) 2010年第8期53卷 1574-1583页

作者： LUO Qi 1 , LIAO XiaoXin 2 & ZENG ZhiGang 2 1 College of Information and Control, Nanjing University of Information Science and Technology, Nanjing 210044, China 2 Department of Control Science and Engineering, Huazhong University of Science and Technology, image processing and intelligent Control key laboratory of Education Ministry of China, Wuhan 430074, China 1. College of Information and Control Nanjing University of Information Science and Technology Nanjing 210044 China2. Department of Control Science and Engineering Huazhong University of Science and Technology Image Processing and Intelligent Control Key Laboratory of Education Ministry of China Wuhan 430074 China

The sufficient and necessary conditions for Lyapunov stability of the zero equilibrium point of Lorenz system are discussed, and some brief criteria are presented for globally exponential stability, globally asymptotical stability and instability. Furthermore, the behavior of the non-zero equilibrium point of Lorenz system is also investigated, and several sufficient and necessary conditions are provided for locally exponential stability and instability. The established theorems in this paper develop and extend the existing achievements on Lyapunov stability of Lorenz system. In conclusion, by applying the obtained results, some less conservative feedback-control laws are derived to guarantee the globally exponential stability of the chaos control of Chen system, Lu¨ system, Yang-Chen system and Yu-Xia Li system.

关键词： Lorenz system Lyapunov stability sufficient and necessary condition bifurcation values globally exponential synchronization

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2010 IEEE 5th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2010

作者： Zhang, Zhujin Wang, Shuo Zhang, Xingyi Zhang, Zheng Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Huazhong University of Science and Technology Wuhan 430074 China School of Computer and Information Science University of South Australia Adelaide SA 5095 Australia Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education School of Computer Science and Technology Anhui University Hefei 230039 China

ISBN: (纸本)9781424464388

Randí et al. proposed a significant graphical representation for DNA sequences, which is very compact and avoids loss of information. In this paper, we build a fast algorithm for this graphical representation with time complexity O(n2), and find another important advantage in the representation: no degeneracy. Moreover, we propose a new method to do similarity analysis of DNA sequences based on the representation. The approach adopts four elements of covariance matrix as a descriptor, and is illustrated on the first exon of beta-globin genes from 11 different species. © 2010 IEEE.

关键词： DNA sequences

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Comparison of voxel-based morphometry (VBM) and tractography of diffusion tensor MRI (DT-MRI) in temporal lobe epilepsy

Comparison of voxel-based morphometry (VBM) and tractography...

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2010 18th Iranian Conference on Electrical Engineering, ICEE 2010

作者： Afzali, Maryam Soltanian-Zadeh, Hamid Control and Intelligent Processing Center of Excellence School of Electrical and Computer Engineering University of Tehran Tehran 14395-515 Iran Image Analysis Laboratory Radiology Department Henry Ford Health System Detroit MI 48202 United States

ISBN: (纸本)9781424467600

Temporal lobe epilepsy (TLE) is a neurological disease that affects millions of individuals in the world. Majority of TLE patients suffer from refractory seizures. Determining abnormal/damaged regions of the brain that harbor seizure focus is a critical step towards treatment of TLE patients. Diffusion tensor imaging (DTI) is a non-invasive method that we use in this work to determine damaged regions of white matter in the brain. To this end, we apply two methods, voxel based morphometry (VBM) and fiber tracking. We use these methods along with two anisotropy maps (EAR and FA) extracted from the DTI data. We use DTI data of 31 subjects (12 normal subjects and 19 TLE patients) for testing and evaluation studies. The VBM method shows that TLE is associated with reduction of both of FA and EAR values in several regions within the temporal lobes. The tractography method shows abnormal diffusion characteristics in three fiber bundles (fornix, uncinate fasciculus, and cingulum). The results show that the EAR maps are less sensitive to noise than the FA maps and the EAR values change more than the FA values in TLE. ©2010 IEEE.

关键词： Diffusion tensor imaging

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A sphere-dominance based preference immune-inspired algorithm for dynamic multi-objective optimization 10

A sphere-dominance based preference immune-inspired algorith...

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12th Annual Genetic and Evolutionary Computation Conference, GECCO-2010

作者： Liu, Ruochen Zhang, Wei Jiao, Licheng Liu, Fang Ma, Jingjing Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China Institute of Intelligent Information Processing Xidian University Xi'an 710071 China Mail Box 224 Xidian University No.2 South TaiBai Road Xi'an 710071 China

ISBN: (纸本)9781450300728

Real-world optimization involving multiple objectives in changing environment known as dynamic multi-objective optimization (DMO) is a challenging task, especially special regions are preferred by decision maker (DM). Based on a novel preference dominance concept called sphere-dominance and the theory of artificial immune system. (AIS), a sphere-dominance preference immune-inspired algorithm (SPIA) is proposed for DMO in this paper. The main contributions of SPIA are its preference mechanism and its sampling study, which are based on the novel spheredominance and probability statistics, respectively. Besides, SPIA introduces two hypermutation strategies based on history information and Gaussian mutation, respectively. In each generation, which way to do hypermutation is automatically determined by a sampling study for accelerating the search process. Furthermore, The interactive scheme of SPIA enables DM to include his/her preference without modifying the main structure of the algorithm. The results show that SPIA can obtain a well distributed solution set efficiently converging into the DM's preferred region for DMO. Copyright 2010 ACM.

关键词： Multiobjective optimization

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P systems with shuffle operation

P systems with shuffle operation

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2010 IEEE 5th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2010

作者： Niu, Yunyun Xu, Jinbang Subramaniant, K.G. Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Huazhong University of Science and Technology 430074 Wuhan China School of Mathematical Sciences Universiti Sains Malaysia 11800 Penang Malaysia

ISBN: (纸本)9781424464388

Shuffle operation on trajectories is useful in modeling parallel composition of words and languages. In this work, a new class of P systems with shuffle operation is presented. Such a system has language-objects and shuffle-operation rules in its regions. It can be used as a language generator;specifically it is used to generate languages from sets of languages. Some comparison results are obtained, which show that the power of shuffle operation is enlarged in the framework of P systems. © 2010 IEEE.

关键词： Modeling languages

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Algorithm for elliptic curve diffie-hellman key exchange based on DNA tile self-assembly

Algorithm for elliptic curve diffie-hellman key exchange bas...

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作者： Cheng, Zhen Huang, Yufang Chen, Zhihua Shi, Xiaolong Xu, Jin Key Laboratory of Image Processing and Intelligent Control Department of Control Science and Engineering Huazhong University of Science and Technology 430074 Wuhan China School of Electronics Engineering and Computer Science Peking University 100871 Beijing China

DNA tile self-assembly is a promising paradigm for nanotechnology. Recently, many researches show that computation by DNA tile self-assembly maybe scalable. In this paper, we propose the algorithm for elliptic curve Diffie-Hellman key exchange based on DNA tile self-assembly. First we give the DNA tile self-assembly model to compute the scalar multiplication, then we can successfully implement the Diffie-Hellman key exchange over elliptic curve by extracting the result strand of the scalar multiplication. Copyright © 2010 American Scientific Publishers. All rights reserved.

关键词： Self assembly

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Observer-Based Adaptive Tracking Control of Rigid-Link Flexible-Joint Robot Manipulators

Observer-Based Adaptive Tracking Control of Rigid-Link Flexi...

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第二十九届中国控制会议

作者： Philippe POIGNET Key Laboratory of Education Ministry for Image Processing and Intelligent Control Huazhong University of Science and Technology

Joint flexibility is an important factor to consider in the robot control design if high performance is expected for the robot *** works on control of rigid-link flexible-joint(RLFJ)robot in literature have assumed that the kinematics of the robot is known *** have been few results that can deal with the kinematics uncertainty in RLFJ *** this paper,we propose an adaptive tracking control method which can deal with the kinematics uncertainty and uncertainties in both link and actuator dynamics of the RLFJ robot *** observers are designed to avoid accelerations measurement due to the fourth-order overall system *** stability of the closed-loop system is shown and sufficient conditions are presented to guarantee the stability.

关键词： Kinematics Uncertainty,Flexible Joint,Adaptive Control,Robot Manipulator,Asymptotic Stability

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Algorithmic tile assembly for solution of the maximum clique problem

Algorithmic tile assembly for solution of the maximum clique...

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作者： Huang, Yufang Xu, Jin Cheng, Zhen Key Laboratory of Image Processing and Intelligent Control Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan 430074 Hubei China School of Electronics Engineering and Computer Science Peking University Beijing 100871 China

The maximum clique problem has diverse applications in the field of pattern recognition, computer vision, information processing etc. The connection between self-assembly and computation has implied that the tile assembly can perform arithmetical computation. Approaches to algorithmic self- assembly require the use of DNA nanostructures, called tiles, which have efficient computational power, and convenient input and output mechanisms. We present a theoretical tile assembly model for the maximum clique problem. We take some transformation to the maximum clique problem and convert it into the 0-1 programming problem. By use of the huge parallelism inherent in the arithmetic tile assembly, it outputs a reporter strand which includes the solution to the problem. It is proved that this method can be extended to the maximum independent set problem and 0-1 programming problem. The arithmetic tile assembly model proposed here can give the answer by use of 0(2n2 + 2mn+ 12n) tile types in time linear with the input size. Copyright © 2010 American Scientific Publishers. All right resered.

关键词： Computational complexity

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Spectral representation of DNA sequences and its application

Spectral representation of DNA sequences and its application

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2010 IEEE 5th International Conference on Bio-Inspired Computing: Theories and Applications, BIC-TA 2010

作者： Zhang, Zhujin Liu, Lin Li, Jiuyong Zhang, Zheng Department of Control Science and Engineering Key Laboratory of Image Processing and Intelligent Control Huazhong University of Science and Technology Wuhan 430074 China School of Computer and Information Science University of South Australia Adelaide SA 5095 Australia

ISBN: (纸本)9781424464388

Randí;et al. proposed a famous spectral graphical representation of DNA sequences, and claimed that it avoids loss of information. In this paper we build two mathematical models for this graphical representation and prove that the claim is correct, and that it also avoids degeneracy. Moreover, we propose a new method to do similarity analysis of DNA sequences based on the spectral representation. The method adopts M value to characterize a graphical representation and uses 24-component vector as descriptor. The approach is illustrated on the complete coding sequence of beta-globin genes from 7 different species. © 2010 IEEE.

关键词： DNA sequences

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A uniform solution to subset sum by tissue P systems with cell separation

A uniform solution to subset sum by tissue P systems with ce...

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作者： Jiang, Yun Zhang, Xingyi Zhang, Zheng Key Laboratory of Image Processing and Intelligent Control Department of Control Science and Engineering Huazhong University of Science and Technology Wuhan 430074 Hubei China School of Computer Science and Technology Anhui University Hefei 230601 Anhui China

Membrane systems, also called P systems, are biologically inspired theoretical models of distributed and parallel computing. Tissue P system with cell separation is a computing model in the frame work of membrane computing based on the intercellular communication and cooperation between neurons. Tissue P systems with cell separation have the ability to create an exponential space in a linear time, and can be used to solve computationally hard problems by a space-time trade-off. A polynomial-time solution to the NP-complete problem Subset Sum via a family of such devices is present in this paper. Further research topics and open problems are discussed too. Copyright © 2010 American Scientific Publishers. All right reserved.

关键词： Computational complexity

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