Global optimality in the calculus of variations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 7, 1997, Pages 1187-1192

  Clarke, F H ^a   Ledyaev, Yu S ^b   Hiriart Urruty, J B ^c  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^c UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

Calculus of variations; Extremal; Global minimum

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; INTEGRAL EQUATIONS; OPTIMIZATION; THEOREM PROVING;

EULER EQUATIONS; EULER WEIERSTRASS CONDITIONS;

VARIATIONAL TECHNIQUES;

EID: 0031126491     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)82868-4     Document Type: Article

References (9)

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2. ZEIDAN V. M., The Riccati equation for optimal control problems with mixed state-control constraints: necessity and sufficiency, SIAM J. Control Optim. 32, 1297-1321 (1994).
3. LOEWEN P. D. & ZHENGH., Generalized conjugate points for optimal control problems, Nonlinear Analysis 22, 771-791 (1994).
4. STREKALOVSKI A., On problems of global extremum in a nonconvex extremal problems, Izv. Vyssh. Uchebn. Zaved. Mat. 8, 74-80 (1990). (In Russian.)
5. HIRIART-URRUTY J.-B. & LEDYAEV YU. S., A note on the characterization of the global maxima of a (tangentially) convex function over a convex set, J. Convex Analysis (to appear).
6. CLARKE F. H., Optimization and Nonsmooth Analysis, Classics Appl. Math., Vol. 5. SIAM Publications, Philadelphia (1990). (Originally published by Wiley Interscience, New York (1983).)
7. CLARKE F. H. & VINTER R. B., Regularity properties of solutions to the basic problem in the calculus of variations, Trans. Am. math. Soc. 289, 73-98 (1985).
8. CLARKE F. H., Methods of Dynamic and Nonsmooth Optimization, CBMS-NSF Regional Conf. Ser. in Appl. Math., Vol. 57. SIAM Publications, Philadelphia (1989).
9. CLARKE F. H., HIRIART-URRUTY J.-B. & LEDYAEV YU. S., On global optimality for nonlinear optimal control problems, preprint (1994).