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Analysis of Singular Perturbations for a Class of Interconnected Homogeneous Systems: Input-to-State Stability Approach
Abstract : In this work an interconnection of two singularly perturbed homogeneous systems of different degrees is considered. Under relaxed restrictions on the smoothness of the right-hand sides of the system, and some standard assumptions, the conditions of local or practical asymptotic stability of the interconnection are established by means of ISS properties and the Small-Gain Theorem. Moreover, the domains of stability and attractions are estimated. Finally, the results are illustrated through an example with a homogeneous system of negative degree.
Cited literature [19 references]
https://hal.inria.fr/hal-02634551
Contributor : Denis Efimov <>
Submitted on : Wednesday, May 27, 2020 - 3:41:45 PM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM
Contributor : Denis Efimov <>
Submitted on : Wednesday, May 27, 2020 - 3:41:45 PM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM
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IFAC20_Jesus.pdf
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