On the uniform boundedness of solutions of contingent equations

M.L.J. Hautus

On the uniform boundedness of solutions of contingent equations

M.L.J. Hautus

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Abstract

It is proved that under standard conditions (in particular the convexity of the velocity set), the boundedness of the individual solutions of a contingent equation implies the uniform boundedness of the solutions and consequently the boundedness of the reachable sets. This result is used to obtain an existence theorem in optimal control theory. By means of an example it is shown that the convexity condition cannot be omitted. Keywords: Contingent equations, existence theorems, closure theorems

Original language	English
Place of Publication	Eindhoven
Publisher	Technische Hogeschool Eindhoven
Number of pages	7
Publication status	Published - 1977

Publication series

Name	Memorandum COSOR
Volume	7715
ISSN (Print)	0926-4493

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339312Final published version, 297 KB

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abstract = "It is proved that under standard conditions (in particular the convexity of the velocity set), the boundedness of the individual solutions of a contingent equation implies the uniform boundedness of the solutions and consequently the boundedness of the reachable sets. This result is used to obtain an existence theorem in optimal control theory. By means of an example it is shown that the convexity condition cannot be omitted. Keywords: Contingent equations, existence theorems, closure theorems",

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N2 - It is proved that under standard conditions (in particular the convexity of the velocity set), the boundedness of the individual solutions of a contingent equation implies the uniform boundedness of the solutions and consequently the boundedness of the reachable sets. This result is used to obtain an existence theorem in optimal control theory. By means of an example it is shown that the convexity condition cannot be omitted. Keywords: Contingent equations, existence theorems, closure theorems

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M3 - Report

T3 - Memorandum COSOR

BT - On the uniform boundedness of solutions of contingent equations

PB - Technische Hogeschool Eindhoven

CY - Eindhoven

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