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Further Stability Analysis on Neutral Systems with Actuator Saturation and Time-Delays
Author(s) -
Xinghua Liu
Publication year - 2014
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2014/102653
Subject(s) - mathematics , control theory (sociology) , upper and lower bounds , stability (learning theory) , actuator , model transformation , transformation (genetics) , exponential stability , conservatism , lyapunov function , nonlinear system , mathematical analysis , computer science , control (management) , discrete mathematics , biochemistry , chemistry , physics , consistency (knowledge bases) , politics , political science , law , gene , quantum mechanics , artificial intelligence , machine learning
This paper is concerned with the asymptotic stability analysis for a class of neutral systems with time-delay and saturating actuators, which is further to reduce the conservatism of neutral system. Based on the model transformation and the delay-dividing approach, a new type of augmented Lyapunov functional is constructed, which has fully exploited the information on the lower bound of the delay. Then the delay-dependent conditions for asymptotic stability are derived by applying some integral inequalities and Lyapunov theory. Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature

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