Some new simple stability criteria of linear neutral systems with a single delay |
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Authors: | Hong Li Shou-ming Zhong Hou-biao Li |
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Institution: | 1. School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;2. School of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, PR China |
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Abstract: | This article mainly considers the linear neutral delay-differential systems with a single delay. Using the characteristic equation of the system, new simple delay-independent asymptotic and exponential stability criteria are derived in terms of the matrix measure, the spectral norm and the spectral radius of the corresponding matrices. Numerical examples demonstrate that our criteria are less conservative than those of previous corresponding results L.M. Li, Stability of linear neutral delay-differential systems, Bull. Aust. Math. Soc. 38 (1988) 339–344; G.D. Hu, G.D. Hu. Some simple criteria for stability of neutral delay-differential systems, Appl. Math. Comput. 80 (1996) 257–271; D.Q. Cao, Ping He, Sufficient conditions for stability of linear neutral systems with a single delay, Appl. Math. Lett. 17 (2004) 139–144; G.D. Hu, G.D. Hu, B. Cahlon, Algebraic criteria for stability of linear neutral systems with a single delay, J. Comput. Appl. Math. 135 (2001) 125–130]. |
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Keywords: | Neutral system Asymptotic stability Delay-independent Matrix measure Exponential stability Spectral norm Spectral radius |
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