Analysis of a quadratic functional with a partly degenerate legendre condition

Moscow University Computational Mathematics and Cybernetics

Volumn 34, Issue 2, 2010, Pages 56-65

  Dmitruk, A V ^a   Shishov, K K ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Goh's transformation; Legendre's condition; quadratic form

Indexed keywords

EID: 84859509363     PISSN: 02786419     EISSN: 19348428     Source Type: Journal    
DOI: 10.3103/S0278641910020020     Document Type: Article

References (4)

1. B. S. Goh, "Necessary Conditions for Singular Extremals Involving Multiple Control Variables," SIAM J. Control 4(4), 716-731 (1966).
2. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control (Nauka, Moscow, 1979) [in Russian].
3. A. V. Dmitruk, "Quadratic Conditions of Weak Minimum for Singular Regimes in Optimal Control Problems," in Proc. VIII Winter School on Mathematical Programming and Related Problems, Moscow, 1976 (TsEMI AN SSSR, Moscow, 1976), pp. 102-119.
4. A. V. Dmitruk, "Jacobi Type Conditions for Singular Extremals," Control Cybern., 37(2), 285-306 (2008).