Singular linear-quadratic control problem for systems with linear delay

A singular linear-quadratic optimization problem on the trajectories of non-autonomous linear differential equations with linear delay is considered. The peculiarity of this problem is the fact that this problem has no solution in the class of integrable controls. To ensure the existence of solution...

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Bibliographic Details
Published inAIP conference proceedings Vol. 1570; no. 1
Main Author Sesekin, A N
Format Conference Proceeding Journal Article
LanguageEnglish
Published Melville American Institute of Physics 18.12.2013
Subjects
CONTROL SYSTEMS
Delay
DIFFERENTIAL EQUATIONS
INTEGRAL CALCULUS
MATHEMATICAL METHODS AND COMPUTING
OPTIMIZATION
Pantographs
PROGRAMMING
PULSES
SINGULARITY
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ISSN0094-243X
1551-7616
DOI10.1063/1.4854765

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Summary:A singular linear-quadratic optimization problem on the trajectories of non-autonomous linear differential equations with linear delay is considered. The peculiarity of this problem is the fact that this problem has no solution in the class of integrable controls. To ensure the existence of solutions is required to expand the class of controls including controls with impulse components. Dynamical systems with linear delay are used to describe the motion of pantograph from the current collector with electric traction, biology, etc. It should be noted that for practical problems fact singularity criterion of quality is quite commonly occurring, and therefore the study of these problems is surely important. For the problem under discussion optimal programming control contained impulse components at the initial and final moments of time is constructed under certain assumptions on the functional and the right side of the control system.
Bibliography:ObjectType-Conference Proceeding-1
SourceType-Conference Papers & Proceedings-1
content type line 21
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4854765