On Second-Order Necessary Conditions for Broken Extremals

Author:

Osmolovskii Nikolai P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference19 articles.

1. Milyutin, A.A.: Quadratic conditions for an extremum in smooth problems with a finite-dimensional image. In: Levin, V.L. (ed.): Metody teorii ekstremal’nykh zadach v ekonomike (Methods of the theory of extremal problems in economics), pp. 138–177. Nauka, CEMI, Moscow (1981) [in Russian]

2. Dmitruk, A.V.: Quadratic conditions for a local minimum for singular extremals in a general optimal control problem. In: G. Ferreyra, et al. (eds.): Proceedings of Symposia in Pure Mathematics, vol 64 ”Differential Geometry and Control”, pp. 163–198. American Mathematical Society (1999)

3. Henrion, R.: La Théorie de la Variation Seconde et ses Applications en Commande Optimale. Palais des Academies, Academie Royal de Belgique, Bruxelles (1979)

4. Shnol’, E.E.: On the degeneration in the simplest problem of the calculus of variations. Mat. Zametki 24, 707–716 (1978)

5. Osmolovskii, N.P.: Quadratic optimality conditions for broken extremals in the general problem of calculus of variations. J. Math. Sci. 123, 3987–4122 (2004)

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