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Journal Articles IEEE Transactions on Automatic Control Year : 2023

On ISS with respect to average value of disturbances: a time-delay approach

Emilia Fridman
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Abstract

For input-affine nonlinear dynamical systems, an input-to-state stability analysis with respect to (weighted) average values of exogenous perturbations is proposed. The time-delay method is used to represent the system in a suitable form for investigation: a kind of neutral-type differential equation. The introduced approach allows the asymptotic gains with respect to zero-mean periodic signals to be evaluated for nonlinear systems (an analogue of Bode magnitude plot), as well as for integral input-to-state stable systems with periodic inputs. The results are illustrated on the class of homogeneous systems.
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hal-04309870 , version 1 (27-11-2023)

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  • HAL Id : hal-04309870 , version 1

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Denis Efimov, Emilia Fridman. On ISS with respect to average value of disturbances: a time-delay approach. IEEE Transactions on Automatic Control, In press. ⟨hal-04309870⟩
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