Small-time local controllability and continuity of the optimal time function for linear systems

Hector Sussmann

doi:10.1007/BF00939220

Small-time local controllability and continuity of the optimal time function for linear systems

Hector Sussmann

SAS - Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

For a finite-dimensional linear system, in which the control is restricted to belong to a completely arbitrary set J, we give a simple necessary and sufficient condition for small-time local controllability from a point p. The condition is equivalent to a characterization of the property that the Bellman function for the corresponding minimum-time optimal control problem is continuous at p.

Original language	English (US)
Pages (from-to)	281-296
Number of pages	16
Journal	Journal of Optimization Theory and Applications
Volume	53
Issue number	2
DOIs	https://doi.org/10.1007/BF00939220
State	Published - May 1 1987

All Science Journal Classification (ASJC) codes

Control and Optimization
Management Science and Operations Research
Applied Mathematics

Keywords

Local controllability
linear systems
time-optimal control

Access to Document

10.1007/BF00939220

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