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New results on reachable sets bounding for delayed positive singular systems with bounded disturbances
Authors:Nguyen Huu Sau  Dinh Cong Huong  Mai Viet Thuan
Institution:1. Faculty of Fundamental Science, Hanoi University of Industry, 298 Caudien, Hanoi, Vietnam;2. Department of Mathematics and Statistics, Quynhon University, Binhdinh, Vietnam;3. Department of Mathematics and Informatics, TNU–University of Sciences, Thainguyen, Vietnam;1. Faculty of Fundamental Science, Hanoi University of Industry, 298 Caudien, Hanoi, Vietnam;2. Department of Mathematics and Statistics, Quynhon University, Binhdinh, Vietnam;3. Department of Mathematics and Informatics, TNU–University of Sciences, Thainguyen, Vietnam;1. Institute of Complexity Science, College of Automation and Electrical Engineering, Qingdao University, Qingdao 266071, PR China;2. College of Automation Engineering, Qingdao University of Technology, Qingdao 266555, PR China;3. National Key Laboratory on Aircraft Control Technology, Beihang University, Beijing 100191, PR China;4. Institute of Intelligent Systems, University of Johannesburg, Johannesburg, South Africa;5. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, PR China;1. School of Information Science and Engineering, Shandong Normal University, Jinan 250358, PR China;2. School of Electrical Engineering, University of Jinan, Jinan 250022, PR China;1. School of Mathematics and Physics, Jinggangshan University, Ji’an, 343009, China;2. School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Abstract:This paper addresses the reachable sets bounding problem for time-delay positive singular systems subject to bounded disturbances. The time delays in the considered systems are assumed to be time-varying. Both invariant and time-varying singular systems are investigated in this paper. Existence conditions of componentwise ultimate bounds of the state vector of considered systems are derived and given in terms of the spectral abscissa of the system matrices, which are easy to be checked. The obtained results are demonstrated by two numerical examples.
Keywords:
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