Impulse controls in models of hybrid systems
type: Item
instance of: scholarly article
title: Impulse controls in models of hybrid systems
zbMATH Open document ID: 1184.93101
DOI: 10.1134/S0012266109050127
author: P. A. Tochilin
author: Alexander B. Kurzhanski
published in: Differential Equations
publication date: 2009-10-08T00:00:00Z
review text: The authors revisit control synthesis problems for hybrid systems (continuous dynamics alternated with discrete dynamics, e.g. jumps, model switching). In section 4 the technique of dynamic programming is applied to this framework, with the help of generalized functions (or distributions, delta functions) modeling impulsive controls and dynamics. A simple example is recalled in section 2 (the classical bouncing ball), and a more sophisticated example is comprehensively described in section 6, namely a bouncing ball in space.
reviewed by: Didier Henrion
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 49L20
zbMATH DE Number: 5611079
zbMATH Keywords: optimal control
zbMATH Keywords: hybrid dynamical systems
MaRDI profile type: Publication
cites work: A unified framework for hybrid control: model and optimal control theory
cites work: An introduction to hybrid dynamical systems
cites work: Q5614161
cites work: Piecewise linear control systems. A computational approach
cites work: Q5562891
cites work: Optimization, a Moment Problem, and Nonlinear Programming
cites work: Q3953613
cites work: Weakly invariant sets of hybrid systems
description: scientific article; zbMATH DE number 5611079