Applied and Computational Mathematics
Volume 5, Issue 6, December 2016, Pages: 230-233
Received: Oct. 12, 2016;
Accepted: Nov. 14, 2016;
Published: Dec. 8, 2016
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Jiqiang Wang, Jiangsu Province Key Laboratory of Aerospace Power Systems, College of Energy & Power Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing, P. R. China
Constrained switching of switched nonlinear systems consists of many classes of switching signals with markedly different features. One of the most important ones is the average dwell time (ADT) switching. For switched systems, it is a well-known result that a switched nonlinear system is globally uniformly asymptotically stable under arbitrary switching sequence
if the ADT satisfies the lower bound defined by a real constant value (
). In this note, it will be shown that this ADT condition is also necessary.
The Average Dwell Time Condition
Is Necessary & Sufficient for Arbitrary Switching Stability of Switched Nonlinear Systems, Applied and Computational Mathematics
Vol. 5, No. 6,
2016, pp. 230-233.
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