Discovery of the maximum principle

Journal of Dynamical and Control Systems

Volumn 5, Issue 4, 1999, Pages 437-451

  Gamkrelidze, R V ^a  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

Hamiltonian systems; Maximum principle; Optimal control; Symplectic invariance

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; THEOREM PROVING; VECTORS;

MAXIMUM PRINCIPLE;

OPTIMAL CONTROL SYSTEMS;

EID: 0033204711     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021783020548     Document Type: Article

References (9)

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2. R. V. Gamkrelidze, On the theory of optimal processes in linear systems. (Russian) Dokl. Akad. Nauk SSSR 116 (1957), 9-11.
3. _ , Time optimal processes in linear systems. (Russian) Izv. Akad. Nauk SSSR, Ser. Mat. 22 (1958), 449-474.
4. V. G. Boltyanski, The maximum principle in the theory of optimal processes. (Russian) Dokl. Akad. Nauk SSSR 119 (1958), 1070-1073.
5. V. G. Boltyanski, R. V. Gamkrelidze, and L. S. Pontryagin, The theory of optimal processes I. The maximum principle. (Russian) Izv. Akad. Nauk SSSR, Ser. Mat. 24 (1960), 3-42.
6. L.S. Pontryagin, Optimal processes of regulation. Proc, Intern. Math. Congr., Edinburgh, 14-21 August, 1958, Cambridge University Press, 1960.
7. R. V. Gamkrelidze, On sliding optimal regimes. (Russian) Dokl. Akad. Nauk SSSR 143 (1962), 1243-1245.
8. _ , Principles of optimal control theory. Plenum Press, 1960.
9. A.A. Agrachev and R.V. Gamkrelidze, Feedback-invariant optimal control theory and differential geometry I. Regular extremals. J. Dynam. Control Syst. 3 (1997), No. 3, 343-389.