Multidimensional second order systems with controls | Zendy

Bors D. | Zendy; Walczak S. | Zendy

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Multidimensional second order systems with controls

Author(s) -

Bors D.,

Walczak S.

Publication year - 2010

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.173

Subject(s) - mathematical proof , nonlinear system , order (exchange) , interval (graph theory) , mathematics , stability (learning theory) , control (management) , control theory (sociology) , stability theorem , mathematical economics , pure mathematics , calculus (dental) , computer science , mathematical analysis , combinatorics , economics , physics , artificial intelligence , geometry , finance , quantum mechanics , machine learning , cauchy distribution , medicine , dentistry

In the paper, a nonlinear equation with decreasing mass is considered. Sufficient conditions for the existence of solutions on the interval [ t 1 , t 2 ] are proved. Moreover, theorem on the stability of system and the existence of optimal control are presented. The proofs of the main results are based on variational method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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