Stability Analysis for Time-delay Systems with Nonlinear Disturbances via New Generalized Integral Inequalities

This paper represents a novel less conservative stability criterion for time-delay systems with nonlinear disturbances. The main purpose is to obtain larger upper bound of the time-varying delay. A suitable Lyapunov- Krasovskii functional (LKF) with triple integral terms is constructed. Then, two ne...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2018, Automation, and Systems, 16(6), , pp.2772-2780
Main Authors: Wu, Bin, Wang, Chang-Long, Hu, Yong-Jiang, Ma, Xiao-Lin
Format: Article
Language:English
Subjects:
Conservatism
Control
Engineering
Euclidean space
Feedback
Inequality
Liapunov functions
Mechatronics
Multiagent systems
Reagents
Regular Papers
Robotics
Time delay systems
Topology
제어계측공학
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Summary:This paper represents a novel less conservative stability criterion for time-delay systems with nonlinear disturbances. The main purpose is to obtain larger upper bound of the time-varying delay. A suitable Lyapunov- Krasovskii functional (LKF) with triple integral terms is constructed. Then, two new generalized double integral (GDI) inequalities are proposed which encompass Wirtinger-based double inequality as a special case. A simple case of the proposed GDI inequality is utilized to estimate double integral terms in the time derivative of the constructed LKF. Further, an improved delay-dependent stability criterion is derived in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are given to illustrate the improvement of the proposed criteria.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0266-8