Communication Dans Un Congrès Année : 2024

On Small-Gain Theorem for Interconnected Finite/Fixed-Time Input-to-State Stable Systems*

Résumé

The paper addresses the problem of input-to-state stability analysis for interconnected systems with accelerated convergence, namely, for interconnected nonlinear systems composed of two finite-time or (nearly) fixed-time input-to-state stable subsystems. Under additional mild restrictions, small-gain theorems are proposed for a class of such systems that guarantee the preservation of accelerated convergence for the interconnection.

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Dates et versions

hal-04895363 , version 1 (18-01-2025)

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  • HAL Id : hal-04895363 , version 1

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Xubin Ping. On Small-Gain Theorem for Interconnected Finite/Fixed-Time Input-to-State Stable Systems*. CDC 2024 - Conference on Decision and Control, Dec 2024, Milan, Italy. ⟨hal-04895363⟩
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