Helly's principle and its application to an infinite-horizon optimal control problem

In this paper, we introduce locally absolutely continuous functions of two variables and functions of two variables of locally finite variation defined on an unbounded interval. We generalize Helly's principle of choice to functions of locally finite variation and apply this principle to an inf...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2007-09, Vol.134 (3), p.371-383
Main Author: BOGUSZ, D
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory
Control theory. Systems
Exact sciences and technology
Gas absorption
Intervals
Mathematical analysis
Mathematical functions
Mathematical programming
Operational research and scientific management
Operational research. Management science
Optimal control
Optimization
Optimization techniques
Studies
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Summary:In this paper, we introduce locally absolutely continuous functions of two variables and functions of two variables of locally finite variation defined on an unbounded interval. We generalize Helly's principle of choice to functions of locally finite variation and apply this principle to an infinite-horizon optimal control problem of the Goursat-Darboux type.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-007-9210-4