Abstract
The problem of delay-dependent stability and passivity for linear neutral systems is discussed. By constructing a novel type Lyapunov-krasovskii functional, a new delay-dependent passivity criterion is presented in terms of linear matrix inequalities (LMIs). Model transformation, bounding for cross terms and selecting free weighting matrices [12∼14] are not required in the arguments. Numerical examples show that the proposed criteria are available and less conservative than existing results.
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This work was supported by the National Natural Science Foundation of China (No.60474003).
Weihua GUI has been a full professor in the School of Information Science and Engineering, Central South University, Changsha, China, since 1991. He received the degree of the B.Eng. (Control Science and Engineering) and the M.Eng. (Control Science and Engineering) from Central South University, Changsha, China in 1976 and 1981, respectively. From 1986 to 1988 he was a visiting scholar at University-GH-Duisburg, Germany. In recent years, he has been in charge of over thirty projects of National Nature and Science Foundation, National High-Tech Researching and Development Plan, National Key Fundamental Research and Development Program of China, as well as other enterprises projects, successively. He has authored and co-authored over 100 papers in Journals and conference proceedings and published 4 books. His main research interests are in modeling and optimal control of complex industrial process, distributed robust control, and fault diagnoses.
Biyu LIU was born in Hunan Province, China. She received the M.S. degree from the Mathematical Department of Huazhong Normal University, WuHan, in 1988. She is currently an professor and pursuing the Ph.D. degree in the control theory and engineering at Control Central South University. Her research interests include the stability theory of differential equation, decentralized control of large-scale systems, nonlinear control, robust control and time-delay control systems.
Zhaohui TANG was born in Hunan Province, China. He received the M.S. degree from the Department of Information Science and Engineering, Central South University, Changsha, Hunan, in 1994. He is currently an associate professor and pursuing the Ph.D. degree in Central South University. His teaching and research interests focus on modeling and control of complex process, dispersed robust control, optimized control and application, Computer Process Control.
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Gui, W., Liu, B. & Tang, Z. A delay-dependent passivity criterion of linear neutral delay systems. J. Control Theory Appl. 4, 201–206 (2006). https://doi.org/10.1007/s11768-006-4142-3
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DOI: https://doi.org/10.1007/s11768-006-4142-3