State bounding for nonlinear time-varying systems with delay and disturbance

This paper deals with the problem of state bounding for a class of nonlinear time-varying systems with delay and bounded disturbance. By using a model transformation and an approach developed in positive systems, new delay-dependent explicit conditions have been established to guarantee all the stat...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2018-11, Vol.355 (16), p.8213-8224
Main Authors: Zhu, Xingao, Sun, Yuangong, Xie, Xue-Jun
Format: Article
Language:English
Subjects:
Delay
Estimates
Nonlinear systems
Time
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Summary:This paper deals with the problem of state bounding for a class of nonlinear time-varying systems with delay and bounded disturbance. By using a model transformation and an approach developed in positive systems, new delay-dependent explicit conditions have been established to guarantee all the state trajectories of the system converge exponentially within a ball. Two illustrative examples are given to show that the obtained results can be applied to some cases not covered by preceding results.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2018.09.021