### On the Stability Analysis of Switched Nonlinear Systems with Time Varying Delay Under Arbitrary Switching

KERMANI Marwen , SAKLY Anis

1. Research Unit of Industrial Systems Study and Renewable Energy (ESIER), National Engineering School of Monastir, Ibn El Jazzar, Skaness, 5019, University of Monastir, Tunisia.
• Online:2017-04-25 Published:2017-03-24

KERMANI Marwen,SAKLY Anis. On the Stability Analysis of Switched Nonlinear Systems with Time Varying Delay Under Arbitrary Switching[J]. Journal of Systems Science and Complexity, 2017, 30(2): 329-346.

This paper addresses the stability problem for a class of switched nonlinear time varying delay systems modeled by delay differential equations. By transforming the system representation under the arrow form and using a new constructed Lyapunov function, the aggregation techniques, the Borne-Gentina practical stability criterion associated with the properties, new delay-independent stability conditions of the considered systems are established. Compared with the existing results in this area, the obtained result is explicit, simple to use and allows us to avoid the problem of searching a common Lyapunov function. Finally, an example is provided, with numerical simulations, to demonstrate the effectiveness of the proposed method.

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