6533b873fe1ef96bd12d4cac

RESEARCH PRODUCT

Computation of conjugate times in smooth optimal control: the COTCOT algorithm

Bernard BonnardJean-baptiste CaillauEmmanuel Trélat

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Differential equationComputation010102 general mathematics05 social sciences050301 education[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Optimal control01 natural sciencesEuler equationssymbols.namesakesymbolsOrder (group theory)Point (geometry)Affine transformation[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematics0503 educationAlgorithmMathematicsConjugate

description

Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltonians are evaluated by means of a new algorithm. Two kinds of standard control problems fit in this setting: the so-called regular ones, and the minimum time singular single-input affine systems. Conjugate point theory is recalled in these two cases, and two applications are presented: the minimum time control of the Kepler and Euler equations.

yearjournalcountryeditionlanguage
2006-10-04
https://hal.archives-ouvertes.fr/hal-00086460/document