Morse theory and Lyusternik-Shnirelman theory in geometric control theory
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Publication:4289708
DOI10.1007/BF02111558zbMath0835.58006MaRDI QIDQ4289708
Publication date: 11 December 1994
Published in: Journal of Mathematical Sciences (Search for Journal in Brave)
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) Morse-Smale systems (37D15)
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Geometrical and topological methods in optimal control theory ⋮ On some properties of the path spaces for smooth control systems of constant rank ⋮ Shift formula and its applications to certain smooth nonlinear systems ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach. ⋮ Numerical and Analytical Methods for Global Optimization ⋮ A note on convexity in smooth nonlinear systems ⋮ Morse lemmas for smooth functions on manifolds with corners
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