Limits of nonlinear discrete-time control systems with fast subsystems
type: Item
instance of: scholarly article
title: Limits of nonlinear discrete-time control systems with fast subsystems
zbMATH Open document ID: 0914.93037
DOI: 10.1016/S0167-6911(98)00100-5
published in: Systems \& Control Letters
publication date: 1999-04-28T00:00:00Z
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1281168
zbMATH Keywords: discrete-time control system
zbMATH Keywords: slow and fast motions
zbMATH Keywords: averaging method
zbMATH Keywords: differential inclusion
zbMATH Keywords: controllability
zbMATH Keywords: exponential formula
zbMATH Keywords: nonlinear systems
zbMATH Keywords: limiting system
zbMATH Keywords: reachable set
author: Götz Grammel
MaRDI profile type: Publication
cites work: First-order approximations for differential inclusions
cites work: Singularly perturbed ordinary differential equations with dynamic limits
cites work: Viability theory
cites work: Q3324260
cites work: Q4894825
cites work: A Tikhonov-type theorem for singularly perturbed differential inclusions
cites work: Error estimates for discretized differential inclusions
cites work: Suboptimization of Singularly Perturbed Control Systems
cites work: Averaging of singularly perturbed systems
cites work: Averaging of differential inclusions with ``fast'' and ``slow'' variables
cites work: Q3791007
cites work: Infinite-time regulators for singularly perturbed difference equations†
cites work: Multirate and composite control of two-time-scale discrete-time systems
cites work: Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
cites work: Q3886100
cites work: Q5814121
cites work: Differential inclusions with stable subinclusions
cites work: Second order discrete approximations to strongly convex differential inclusions
cites work: Limits of Singularly Perturbed Control Problems with Statistical Dynamics of Fast Motions
cites work: The Exponential Formula for the Reachable Set of a Lipschitz Differential Inclusion
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description: scientific article; zbMATH DE number 1281168