Journals Information
Universal Journal of Control and Automation(CEASE PUBLICATION) Vol. 1(3), pp. 79 - 85
DOI: 10.13189/ujca.2013.010303
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The Method of Characteristics in Inverse Problems of Dynamics
Nina N. Subbotina *, Timofey B. Tokmantsev
Institute of Mathematics and Mechanics UrB RAS, Ural Federal University, Ekaterinburg, Russia
ABSTRACT
Perturbed inverse problem of dynamics are under consideration for dynamical systems linear relative controls when sampling history and sampling error estimate are known. Auxiliary optimal control problems are introduced to minimize a regularized integral discrepancy functional in the domain of admissible motions. The trajectories of the system are constructed with the help of characteristics of the Bellman equation in the domain of admissible motions. It is proven that the characteristics minimized the functional are solutions of the perturbed inverse problem of dynamics.
KEYWORDS
Inverse Problems of Dynamics, Ridge Regression, Dynamic Programming, Method of Characteristics
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Nina N. Subbotina , Timofey B. Tokmantsev , "The Method of Characteristics in Inverse Problems of Dynamics," Universal Journal of Control and Automation(CEASE PUBLICATION), Vol. 1, No. 3, pp. 79 - 85, 2013. DOI: 10.13189/ujca.2013.010303.
(b). APA Format:
Nina N. Subbotina , Timofey B. Tokmantsev (2013). The Method of Characteristics in Inverse Problems of Dynamics. Universal Journal of Control and Automation(CEASE PUBLICATION), 1(3), 79 - 85. DOI: 10.13189/ujca.2013.010303.