Feedback-Invariant Optimal Control Theory and Differential Geometry, II. Jacobi Curves for Singular Extremals

Rigidity of integral curves of rank 2 distributions

Robert L. Bryant, Lucas Hsu · Inventiones mathematicae · 1993 · 228 citations

Natural Sciences, Mathematics, Topology +8

Shortest paths for sub-Riemannian metrics on rank-two distributions

Wensheng Liu, Héctor J. Sussman · Memoirs of the American Mathematical Society · 1996 · 222 citations

Natural Sciences, Biostatistics, Computational Geometry +10

Abnormal sub-Riemannian geodesics: Morse index and rigidity

Andrei Agrachev, Andrey Sarychev · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1996 · 131 citations · Full text

Natural Sciences, Astronomy, Gravity +11

Feedback-invariant optimal control theory and differential geometry—I. Regular extremals

Andrei Agrachev · Journal of Dynamical and Control Systems · 1997 · 119 citations

Natural Sciences, Mathematics, Dynamical Systems +14

Strong minimality of abnormal geodesics for 2-distributions

Andrei Agrachev, Andrey Sarychev · Journal of Dynamical and Control Systems · 1995 · 69 citations

Natural Sciences, Geophysics, Gravity +5