Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity

This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the s...

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Published in	Nonlinear dynamics Vol. 67; no. 1; pp. 885 - 892
Main Authors	Lee, S. M., Kwon, O. M., Park, Ju H.
Format	Journal Article
Language	English
Published	Dordrecht Springer Netherlands 01.01.2012 Springer Nature B.V
Subjects	Asymptotic methods Asymptotic properties Automotive Engineering Classical Mechanics Control Criteria Discrete time systems Dynamical Systems Engineering Linear matrix inequalities Mathematical analysis Matrix methods Mechanical Engineering Nonlinear dynamics Nonlinear programming Nonlinearity Original Paper Regional analysis Saturation Stability Stability analysis Stability criteria Time delay systems Vibration Discrete-time systems Sector nonlinearity Saturation LMI Regional stability Delay Lyapunov function
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ISSN	0924-090X 1573-269X
DOI	10.1007/s11071-011-0032-4

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Abstract	This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the saturation nonlinearity. The criteria can be applied to the global and regional stability. Numerical examples are given to verify the theoretical result of the proposed method.
AbstractList	This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov functional and LMI (linear matrix inequality) framework, new stability criteria are derived in terms of LMIs by using some properties of the saturation nonlinearity. The criteria can be applied to the global and regional stability. Numerical examples are given to verify the theoretical result of the proposed method.
Author	Park, Ju H. Lee, S. M. Kwon, O. M.
Author_xml	– sequence: 1 givenname: S. M. surname: Lee fullname: Lee, S. M. organization: Department of Electronic Engineering, Daegu University – sequence: 2 givenname: O. M. surname: Kwon fullname: Kwon, O. M. organization: College of Electrical and Computer Engineering, Chungbuk National University – sequence: 3 givenname: Ju H. surname: Park fullname: Park, Ju H. email: jessie@ynu.ac.kr organization: Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University
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Cites_doi	10.1016/j.jfranklin.2006.03.011 10.1016/j.chaos.2009.03.026 10.1016/S0005-1098(99)00060-6 10.1007/s11071-007-9224-3 10.1007/978-1-4612-0039-0 10.1016/0167-6911(91)90040-L 10.1016/S0005-1098(03)00072-4 10.1016/j.amc.2010.03.104 10.1016/j.sysconle.2009.01.003 10.1016/j.na.2007.08.050 10.1016/j.automatica.2008.03.009 10.1201/9781315214948 10.1007/s11071-005-4123-y 10.1137/1.9781611970777 10.1016/S0167-6911(01)00168-2 10.1109/9.827364
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Keywords	Discrete-time systems Sector nonlinearity Saturation LMI Regional stability Delay Lyapunov function
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Snippet	This paper presents a novel method for asymptotic stability analysis of discrete-time systems with state delay and saturation nonlinearity. Based on Lyapunov...
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SubjectTerms	Asymptotic methods Asymptotic properties Automotive Engineering Classical Mechanics Control Criteria Discrete time systems Dynamical Systems Engineering Linear matrix inequalities Mathematical analysis Matrix methods Mechanical Engineering Nonlinear dynamics Nonlinear programming Nonlinearity Original Paper Regional analysis Saturation Stability Stability analysis Stability criteria Time delay systems Vibration
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Title	Regional asymptotic stability analysis for discrete-time delayed systems with saturation nonlinearity
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