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Enhancement on stability criteria for linear systems with interval time-varying delays

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Abstract

In this paper, the problem of stability for linear systems with interval time-varying delays is investigated. By constructing a suitable augmented Lyapunov-Krasovskii functional and utilizing Wirtinger-based integral inequality, two sufficient conditions for guaranteeing the asymptotic stability of the concerned systems are derived within the framework of linear matrix inequalities (LMIs). The superiority and validity of the proposed criteria are verified by comparing maximum delay bounds under various conditions via two numerical examples.

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Author information

Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, 1 Chungdae-ro, Cheongju, 28644, Republic of Korea

    Oh Min Kwon & Myeong Jin Park

  2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-ro, Kyongsan, 38541, Republic of Korea

    Ju H. Park

  3. School of Electronic Engineering, Daegu University, 201 Daegudae-ro, Gyeongsan, 38453, Republic of Korea

    Sang Moon Lee

Authors
  1. Oh Min Kwon
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  2. Myeong Jin Park
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  3. Ju H. Park
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  4. Sang Moon Lee
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Corresponding author

Correspondence to Ju H. Park.

Additional information

Recommended by Guest Editor PooGyeon Park. This work was supported by the intramural research grant of Chungbuk National University in 2015. This research was also supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0009273) and the Human Resources Development of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Trade, Industry & Energy (no. 20144030200450).

Oh Min Kwon received the B.S. degree in Electronic Engineering from Kyungbuk National University, Daegu, Korea, in 1997, and Ph.D. degree in Electrical and Electronic Engineering from POSTECH, Pohang, Korea, in 2004. From February 2004 to January 2006, he was a senior researcher in Mechatronics Center of Samsung Heavy Industries. He is currently working as an associate professor in School of Electrical Engineering, Chungbuk National University. His research interests include timedelay systems, cellular neural networks, robust control and filtering, large-scale systems, secure communication through synchronization between two chaotic systems, complex dynamical networks, multi-agent systems, and so on. He has presented more than 130 international papers in these areas. He is a member of KIEE, ICROS, and IEEK. Currently, he serves as an editorial member of ICROS, Nonlinear Analysis: Hybrid Systems, and The Scientific World Journal.

Myeong Jin Park received the B.S. and Ph.D. degrees both in Electrical Engineering from Chungbuk National University, Cheongju, Korea, in 2009 and 2015, respectively. His current research interests include consensus problem in multi-agent systems and stability analysis for systems with time-delay.

Ju H. Park received the Ph.D. degree in Electronics and Electrical Engineering from POSTECH, Pohang, Republic of Korea, in 1997. From May 1997 to February 2000, he was a Research Associate in ERC-ARC, POSTECH. In March 2000, he joined Yeungnam University, Kyongsan, Republic of Korea, where he is currently a Full Professor. From December 2006 to December 2007, he was a Visiting Professor in the Department of Mechanical Engineering, Georgia Institute of Technology. His research interests include robust control and filtering, neural networks, complex networks, and chaotic systems. He has published a number of papers in these areas. He serves as an Editor of International Journal of Control, Automation and Systems. He is also an Associate Editor/Editorial Board member for several international journals, including IET Control Theory and Applications, Applied Mathematics and Computation, Journal of The Franklin Institute, Journal of Applied Mathematics and Computing, etc.

Sang Moon Lee received the B.S. degree in Electronic Engineering from Kyungpook National University, and M.S. and Ph.D. degrees at Department of Electronic Engineering from POSTECH, Korea. Currently, he is an assistant professor at Division of Electronic Engineering in Daegu University. His main research interests include robust control theory, nonlinear systems, model predictive control and its industrial applications.

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Kwon, O.M., Park, M.J., Park, J.H. et al. Enhancement on stability criteria for linear systems with interval time-varying delays. Int. J. Control Autom. Syst. 14, 12–20 (2016). https://doi.org/10.1007/s12555-015-2003-x

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