On a Variational Approach to Optimization of Hybrid Mechanical Systems | Zendy

Vadim Azhmyakov | Zendy; R. Velazquez | Zendy

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On a Variational Approach to Optimization of Hybrid Mechanical Systems

Author(s) -

Vadim Azhmyakov,

R. Velazquez

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/978736

Subject(s) - mathematical optimization , multi objective optimization , nonlinear system , mathematics , optimal control , nonlinear programming , mechanical system , class (philosophy) , optimization problem , boundary value problem , computer science , artificial intelligence , mathematical analysis , physics , quantum mechanics

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

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