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On a Variational Approach to Optimization of Hybrid Mechanical Systems
Joint Authors
Velazquez, Ruben
Azhmyakov, Vadim
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper deals with multiobjective optimization techniques for a class of hybrid optimal control problems in mechanical systems.
We deal with general nonlinear hybrid control systems described by boundary-value problems associated with hybrid-type Euler-Lagrange or Hamilton equations.
The variational structure of the corresponding solutions makes it possible to reduce the original “mechanical” problem to an auxiliary multiobjective programming reformulation.
This approach motivates possible applications of theoretical and computational results from multiobjective optimization related to the original dynamical optimization problem.
We consider first order optimality conditions for optimal control problems governed by hybrid mechanical systems and also discuss some conceptual algorithms.
American Psychological Association (APA)
Azhmyakov, Vadim& Velazquez, Ruben. 2011. On a Variational Approach to Optimization of Hybrid Mechanical Systems. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-513075
Modern Language Association (MLA)
Azhmyakov, Vadim& Velazquez, Ruben. On a Variational Approach to Optimization of Hybrid Mechanical Systems. Mathematical Problems in Engineering No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-513075
American Medical Association (AMA)
Azhmyakov, Vadim& Velazquez, Ruben. On a Variational Approach to Optimization of Hybrid Mechanical Systems. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-513075
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513075