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A Representation of the Equations of Motion on the Phase Constraint Surface of an Optimal Control Problem in the Form of Singular Characteristics

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REFERENCES

  1. Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., and Mishchenko, E.F., Matematicheskaya teoriya optimal'nykh protsessov (Mathematical Theory of Optimal Processes), Moscow, 1973.

  2. Melikyan, A.A., Dokl. RAN, 1996, vol. 351, no.1, pp. 24-28.

    Google Scholar 

  3. Melikyan, A.A., Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games, Boston, 1998.

  4. Courant, R., Partial Differential Equations (Courant, R. and Hilbert, D., Methods of Mathematical Physics, vol. 2), New York, 1962. Translated under the title Uravneniya s chastnymi proizvodnymi, Moscow: Mir, 1964.

  5. Rashevskii, P.K., Geometricheskaya teoriya uravnenii s chastnymi proizvodnymi (Geometric Theory of Partial Differential Equations), Moscow, 1947.

  6. Arnold, V.I., Dopolnitel'nye glavy teorii obyknovennykh differentsial'nykh uravnenii (Additional Chapters of Ordinary Differential Equations), Moscow, 1978.

  7. Bryson, A.E., Jr. and Ho, Yu Chi, Applied Optimal Control, Washington: Hemisphere, 1975. Translated under the title Prikladnaya teoriya optimal'nogo upravleniya, Moscow, 1972.

    Google Scholar 

  8. Dikusar, V.V. and Milyutin, A.A., Kachestvennye i chislennye metody v printsipe maksimuma (Qualitative and Numerical Methods in the Maximum Principle), Moscow, 1989.

  9. Melikyan, A.A., Dokl. Akad. Nauk SSSR, 1981, vol. 260, no.2, pp. 288-292.

    Google Scholar 

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  1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    A. A. Melikyan

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  1. A. A. Melikyan
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Melikyan, A.A. A Representation of the Equations of Motion on the Phase Constraint Surface of an Optimal Control Problem in the Form of Singular Characteristics. Differential Equations 38, 1581–1588 (2002). https://doi.org/10.1023/A:1023684821267

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