Equivalence of second order optimality conditions for bang-bang control problems. Part 2: Proofs, variational derivatives and representations

Control and Cybernetics

Volumn 36, Issue 1, 2007, Pages 5-45

  Osmolovskii, N P ^a,b   Maurer, H ^c  

^a SYSTEMS RESEARCH INSTITUTE   (Poland)

^b SIEDLCE UNIVERSITY OF NATURAL SCIENCES AND HUMANITIES   (Poland)

^c UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Bang bang control; Critical cones; Equivalence of quadratic forms; Representation of the Hessian of the Lagrangian; Second order necessary and sufficient conditions

Indexed keywords

EID: 33846092985     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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9. PONTRYAGIN, L.S., BOLTYANSKII, V.G., GAMKRELIDZE, R.V. and MISHCHENKO, E.F. (1961) The Mathematical Theory of Optimal Processes. Fizmatgiz, Moscow; English translation: Pergamon Press, New York, 1964.