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CONSTRUCTION OF OPTIMAL CONTROL FOR SINGULARLY PERTURBED SYSTEM WITH DELAY WITH INTEGRAL CONSTRAINTS

Annotation

The problem of control for the singularly perturbed delay system with integral quadratic constraints on the control resources with the minimax criterion is considered. Procedure of constructing control response that approximates the optimal solution with given accuracy with respect to a small positive parameter is proposed.

Keywords

singularly perturbed system with delay; optimal control; fundamental matrix

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UDC

517.977

Pages

1110-1113

References

1. Kurzhanskiy A.B. Upravlenie i nablyudenie v usloviyakh neopredelennosti. M.: Nauka, 1977. 2. Grebennikova I.V., Kremlev A.G. Ob iteratsionnom metode postroeniya optimal'nogo upravleniya singulyarno vozmushchennymi sistemami s zapazdyvaniem pri kvadratichnykh ogranicheniyakh // Izvestiya Saratovskogo universiteta. Novaya seriya. Seriya Matematika. Mekhanika. Informatika. Saratov, 2011. T. 11. Vyp. 3. Ch. 1. C. 8–15. 3. Grebennikova I.V. Approksimatsiya resheniya v minimaksnoy zadache upravleniya singulyarno vozmushchennoy sistemoy s zapazdyvaniem // Izvestiya vuzov. Matematika. Kazan', 2011. № 10. S. 28–39. 4. Kremlev A.G. Asimptoticheskie svoystva ansamblya traektoriy singulyarno vozmushchennoy sistemy v zadache optimal'nogo upravleniya // Avtomatika i Telemekhanika. Moskva, 1993. № 9. S. 61–78. 5. Kirillova F.M., Churakova S.V. Otnositel'naya upravlyaemost' lineynykh dinamicheskikh sistem s zapazdyvaniem // Dokl. AN SSSR. Moskva, 1967. T. 174. № 6. S. 1260–1263.

Received

2015-06-10

Section of issue

Scientific articles

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