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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