Abstract
This paper discusses the exponential state estimation problem for stochastic complex dynamical networks involving multi-delayed and adaptive control. A new approach, very different to the linear matrix inequality (LMI) method, has been developed to solve the above problem. Meanwhile, some sufficient conditions are derived to ensure the exponential stability in pth moment for the dynamics of state estimator error. The feedback gain update law is found by the adaptive control technique. An illustrative example is provided to show the usefulness and effectiveness of the proposed design method.
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Dongbing Tong received his Ph.D. degree in Control Theory and Control Engineering from Donghua University, Shanghai, China, in 2014. He is currently a Lecturer at Shanghai University of Engineering Science, Shanghai, China. From January 2013 to January 2014, he was a Visiting Ph.D. Student in the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. His current research interests include complex networks, and model reduction. He is a very active reviewer for many international journals.
Wuneng Zhou received a first class B.S. degree in Huazhong Normal University in 1982. He obtained his Ph.D. degree from Zhejiang University in 2005. Now he is a professor in Donghua University, Shanghai. His current research interests include the stability, the synchronization, control of neural networks and complex networks.
Han Wang received his BEng degree from Northeastern Heavy Machinery Institute, China, and his Ph.D. degree from Leeds University, UK. He is currently an Associate Professor in the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. After receiving the Ph.D. degree, he joined the Robotics Research Group, Oxford University, UK, as Research Office for three years. He was also with Carnegie Mellon University, USA, and Monash University, Australia, as a Visiting Scientist. His research interests include computer vision, evolutionary computing and robotics.
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Tong, D., Zhou, W. & Wang, H. Exponential state estimation for stochastic complex dynamical networks with multi-delayed base on adaptive control. Int. J. Control Autom. Syst. 12, 963–968 (2014). https://doi.org/10.1007/s12555-013-0323-2
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DOI: https://doi.org/10.1007/s12555-013-0323-2