ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Pristavko V. T., Litvin A. Y. Optimal filtration of matrix gaussian random processes in planes lateral motion problem. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 2, pp. 78-85. DOI: 10.18500/1816-9791-2013-13-2-1-78-85

Published online: 
27.02.2013
Full text:
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Language: 
Russian
Heading: 
UDC: 
519.71
DOI: 
10.18500/1816-9791-2013-13-2-1-78-85

Optimal filtration of matrix gaussian random processes in planes lateral motion problem

Autors: 
Pristavko Vladislav Tarasovich, Saint Petersburg State University
Litvin Aleksei Yur'evich, Saint Petersburg State University
Abstract: 

 In practice, observation problem is more complex because of random influences (noises): wind effects plane course, sensor errors distort object position view. In order to reduce noise filters are used. Proposed to carry out a simultaneous filtering of identical objects motion by defining problem in matrix variables. To achieve phisical realizability controlled matrix filter was proposed. Statements that allow to find the optimal solution was proved. 

References: 
  1. Lipcer R. S., Sirjaev A. N. Statistika sluchainykh protsessov (nelineinaya filtratsiya i smezhnye voprosy) [Statistics of random processes (Nonlinear filtering and related problems)]. Probability Theory and Mathematical Statistics, vol. 15. Moscow, Nauka, 1974, 696 pp. (in Russian).
  2. Pristavko V. T. Matpichnye modeli uppavleniia [Matrix control models]. St. Petersburg, 2001, 255 p. (in Russian).
  3. Zubov V. I. Lektsii po teorii upravleniya [Lectures in control theory]. Moscow, Nauka, 1975. 495 pp. (in Russian).
  4. Bryson A. E., Jr., Ho Yu-Chi. Applied Optimal Control. London, Waltham, Blaisdell Publ. Co., 1969. [Rus. ed.: Braison A., Kho Yu-Shi. Prikladnaia teoriia optimal’nogo upravleniia. Moscow, Mir, 1972, 544 p.]
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