Hilbert manifolds with corners of finite codimension and the theory of optimal control

DOI10.1007/BF01098257zbMath0777.58014MaRDI QIDQ684551

S. A. Vakhrameev

Publication date: 21 September 1993

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimal controlMorse theoryPalais-Smale theory

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Applications of variational problems to control theory (58E25)

Related Items (1)

Numerical and Analytical Methods for Global Optimization

Cites Work

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• Applications of the theory of quadratic forms in Hilbert space to the calculus of variations
• THE INDEX OF THE SECOND VARIATION OF A CONTROL SYSTEM
• Lectures on Morse theory, old and new
• Orbits of Families of Vector Fields and Integrability of Distributions
• The Morse lemma for Banach spaces
• A generalized Morse theory

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