Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach

[1] Agrachev A.A., A second-order necessary condition for optimality in a general nonlinear case, Math. Sb., 102, 4, pp. 551-568, (1977)

[2] Agrachev A.A., Necessary and sufficient conditions of extremum for smooth control systems, ICM Warszawa, Short Communications, XII, Sec. 14: Control Theory and Optimization, (1982)

[3] Agrachev A.A., Intersection homologies of real quadrics, Dokl. Akad. Nauk SSSR, 299, 6, pp. 1033-1036, (1988)

[4] Agrachev A.A., Quadratic mappings in geometrical control theory, Problemy Geometrii. Vol. 20. Itogi Nauki i Tekhn., 20, pp. 111-205, (1989)

[5] Agrachev A.A., Topology of quadratic mappings and Hessian of smooth mappings, Algebra. Topologiya. Geometriya. Vol. 26. Itogi Nauki i Tekhn., 26, pp. 85-124, (1988)

[6] Agrachev A.A., One more condition of conditional extremum, Usp. Mat. Nauk, 44, 5, pp. 153-154, (1989)

[7] Agrachev A.A., Vakhrameev S.A., Chronological series and the Cauchy-Kovalevskaya theorem, Problemy Geometrii. Vol. 12. Itogi Nauki i Tekhn., pp. 165-189, (1981)

[8] Agrachev A.A., Vakhrameev S.A., Nonlinear control systems of constant rank, and the bang-bang conditions for extremal controls, Dokl. Akad. Nauk SSSR, 279, 2, pp. 265-269, (1984)

[9] Agrachev A.A., Vakhrameev S.A., Control-linear systems of a constant rank, and the bang-bang conditions for extremal controls, Usp. Mat. Nauk, 41, 6, pp. 163-164, (1986)

[10] Agrachev A.A., Vakhrameev S.A., Morse theory in optimal control problems and mathematical programming, Soviet-Polish International Workshop: Mathematical Methods of Optimal Control and Their Applications, pp. 7-8, (1989)

[1] Agrachev A.A., A second-order necessary condition for optimality in a general nonlinear case, Math. Sb., 102, 4, pp. 551-568, (1977)

[2] Agrachev A.A., Necessary and sufficient conditions of extremum for smooth control systems, ICM Warszawa, Short Communications, XII, Sec. 14: Control Theory and Optimization, (1982)

[3] Agrachev A.A., Intersection homologies of real quadrics, Dokl. Akad. Nauk SSSR, 299, 6, pp. 1033-1036, (1988)

[4] Agrachev A.A., Quadratic mappings in geometrical control theory, Problemy Geometrii. Vol. 20. Itogi Nauki i Tekhn., 20, pp. 111-205, (1989)

[5] Agrachev A.A., Topology of quadratic mappings and Hessian of smooth mappings, Algebra. Topologiya. Geometriya. Vol. 26. Itogi Nauki i Tekhn., 26, pp. 85-124, (1988)

[6] Agrachev A.A., One more condition of conditional extremum, Usp. Mat. Nauk, 44, 5, pp. 153-154, (1989)

[7] Agrachev A.A., Vakhrameev S.A., Chronological series and the Cauchy-Kovalevskaya theorem, Problemy Geometrii. Vol. 12. Itogi Nauki i Tekhn., pp. 165-189, (1981)

[8] Agrachev A.A., Vakhrameev S.A., Nonlinear control systems of constant rank, and the bang-bang conditions for extremal controls, Dokl. Akad. Nauk SSSR, 279, 2, pp. 265-269, (1984)

[9] Agrachev A.A., Vakhrameev S.A., Control-linear systems of a constant rank, and the bang-bang conditions for extremal controls, Usp. Mat. Nauk, 41, 6, pp. 163-164, (1986)

[10] Agrachev A.A., Vakhrameev S.A., Morse theory in optimal control problems and mathematical programming, Soviet-Polish International Workshop: Mathematical Methods of Optimal Control and Their Applications, pp. 7-8, (1989)