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Bifurcation in a time-optimal problem for a second-order non-linear system

โœ Scribed by S.A. Reshmin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
277 KB
Volume
73
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A time-optimal problem for a second-order non-linear system with one degree of freedom is considered. The system describes the dynamics of an inertial object under the action of a control force of limited modulus which appears linearly and a perturbing force which is periodic in coordinate. The terminal set represents points on the abscissa of the phase plane, and the distance between two neighbouring points is equal to the period of the perturbing force. An estimate is obtained for the amplitude of the control for which the control has the simplest structure: the number of switchings is not greater than one.

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