Sarychev, A. V. The index of the second variation of a control system. (English. Russian original) Zbl 0484.49012 Math. USSR, Sb. 41, 383-401 (1982); translation from Mat. Sb., Nov. Ser. 113(155), 464-486 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 49K15 Optimality conditions for problems involving ordinary differential equations 93B03 Attainable sets, reachability 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces Keywords:second variation; conjugate point of an extremal time-optimal system; Morse index; Legendre condition PDFBibTeX XMLCite \textit{A. V. Sarychev}, Math. USSR, Sb. 41, 383--401 (1982; Zbl 0484.49012); translation from Mat. Sb., Nov. Ser. 113(155), 464--486 (1980) Full Text: DOI