Stability criteria for a class of differential inclusion systems with discrete and distributed time delays.

*(English)*Zbl 1197.34020Summary: The global asymptotic stability for a class of differential inclusion systems with discrete and distributed time delays is investigated. Some delay-dependent criteria are proposed to guarantee the global asymptotic stability of the systems. Finally, a numerical example is provided to illustrate the use of the main results.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

##### MSC:

34A60 | Ordinary differential inclusions |

34K20 | Stability theory of functional-differential equations |

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

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\textit{Y.-J. Sun}, Chaos Solitons Fractals 39, No. 5, 2386--2391 (2009; Zbl 1197.34020)

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