In this paper we show that H-infinity, norm for a class of nonlinear continuous-time systems is the limit of the H-infinity norm for approximating discrete-time systems. The convergence result is proved by means of a characterization of the H-infinity, norm in terms of the value for an ergodic control problem.

Computation of the H∞ norm for nonlinear systems: a convergence result / Camilli, Fabio. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 28:(1996), pp. 139-150. [10.1016/0167-6911(96)00020-5]

Computation of the H∞ norm for nonlinear systems: a convergence result

CAMILLI, FABIO
1996

Abstract

In this paper we show that H-infinity, norm for a class of nonlinear continuous-time systems is the limit of the H-infinity norm for approximating discrete-time systems. The convergence result is proved by means of a characterization of the H-infinity, norm in terms of the value for an ergodic control problem.
1996
nonlinear system; H-infinity norm; viscosity solution; finite difference scheme; ergodic control
01 Pubblicazione su rivista::01a Articolo in rivista
Computation of the H∞ norm for nonlinear systems: a convergence result / Camilli, Fabio. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - STAMPA. - 28:(1996), pp. 139-150. [10.1016/0167-6911(96)00020-5]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/405749
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