Target problems under state constraints for nonlinear controlled impulsive systems
type: Item
instance of: scholarly article
title: Target problems under state constraints for nonlinear controlled impulsive systems
zbMATH Open document ID: 1004.49027
DOI: 10.1016/S0022-247X(02)00096-3
author: Eva Crück
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-08T00:00:00Z
review text: The author investigates target problems for nonlinear control systems with possible jumps (i.e., discontinuity of trajectory). Such impulsive systems have discontinuous trajectories and the value functions are discontinuous in general. The two main results of the article are: -- characterization of the set of all initial conditions from which a given target \(C\) can be reached in finite time, -- characterization of the minimal time to reach \(C\) as a minimal supersolution of some PDE of Hamilton-Jacobi type.
Mathematics Subject Classification ID: 49N25
zbMATH DE Number: 1797529
zbMATH Keywords: viability
zbMATH Keywords: optimal control
zbMATH Keywords: target problems
zbMATH Keywords: nonlinear control
zbMATH Keywords: impulsive systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797529