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CONSTRUCTION OF THE CONTROL THAT PROVIDES THE PRESCRIBED OUTPUT FOR AN OBSERVING SYSTEM

Annotation

Regular system describing the dynamical process is considered. The problem of constructing the control that provides the determined output is solved. The study is carried out by splitting equations into equations in the subspaces. The formula for the control, the use of which corresponds to the desired output function, is constructed.

Keywords

observing system; state function; control, output function

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UDC

517.93

Pages

1400-1404

References

1. Zubova S.P., Raetskaya E.V., Le Khay Chung. O polinomial'nykh resheniyakh lineynoy sistemy upravleniya // Avtomatika i telemekhanika. 2008. № 11. S. 41–47. 2. Raetskaya E.V., Zubova S.P., Fam Tuan Kyong. Polnaya nablyudaemost' nestatsionarnoy differentsial'no-algebraicheskoy sistemy // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2010. T. 6. № 8. S. 82–86. 3. Raetskaya E.V., Zubova S.P., Fam Tuan Kyong. Ob invariantnosti nestatsionarnoy sistemy nablyudeniya otnositel'no nekotorykh vozmushcheniy // Vestnik Tambovskogo universiteta. Seriya Estestvennye i tekhnicheskie nauki. Tambov, 2010. T. 15. Vyp. 6. C. 1678–1679. 4. Drapalyuk M.V., Zubova S.P., Fam Tuan Kyong, Raetskaya E.V. Issledovanie polnoy nablyudaemosti dinamicheskoy sistemy, modeliruyushchey rasprostranenie informatsii v obshchestve // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2012. T. 8. № 5. S. 10–14. 5. Zubova S.P., Raetskaya E.V. The Comparison of the Two Criteria of Complete Observability // Progress in Analysis. Proceeding of the 8-th Congress of the ISAAC (22-27 August 2011). V. 2. M.: Peoples’ Friendship University of Russia, 2012. P. 248–256. 6. Raetskaya E.V., Zubova S.P. Invariance of a nonstationary observability system under certain perturbations // Journal of Mathematical Sciences. New York, 2013. V. 188. № 3. C. 218–226. 7. Zubova S.P., Raetskaya E.V. Solution of the Cauchy Problem for Two Descriptive Equations with Fredholm Operator // Doklady Mathematics. 2014. V. 90. № 3. P. 528–532. 8. Zubova S.P., Raetskaya E.V. A Study of the Rigidity of Descriptor Dynamical System in a Banach Space // Journal of Mathematical Sciences. New York, 2015. V. 208. № 1. P. 131-138.

Received

2015-06-09

Section of issue

Scientific articles

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