Parametric Sets of Integral Equations Solutions
Authors: Krishchenko A.P.  | Published: 23.05.2014 |
Published in issue: #3(54)/2014 | |
DOI: | |
Category: Mathematics and Mechanics | |
Keywords: terminal control problem, integral equations, boundary conditions, approximation |
The author offered the design method of parametrical solutions sets for one of the integral equations with the availability of boundary conditions and inequality constraints. Such problem arises in control theory and it is connected with research of nonlinear systems controllability and terminal problems solution. The found sets of solutions of the integral equation are received in the form of analytical expressions.
References
[1] Emel’yanov S.V., Krishchenko A.P., Fetisov D.A. Study of affine systems controllability. Dokl. RAN [Proc. Russ. Acad. Sci.], 2013, vol. 449, no. 1, pp. 15-18 (in Russ.).
[2] Krishchenko A.P., Fetisov D.A. Transformation of affine systems and solution of terminal control problems. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2013, no. 2, pp. 3-16 (in Russ.).
[3] Krishchenko A.P., Fetisov D.A. The terminal problem for multidimensional of affine systems. Dokl. RAN [Proc. Russ. Acad. Sci.], 2013, vol. 452, no. 2, pp. 144-149 (in Russ.).
[4] Fetisov D.A. Study regular systems controllability of quasicanonical form. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2006, no. 3, pp. 12-30 (in Russ.).
[5] Fetisov D.A. A method for solving terminal problems for affine systems. El. n.-t. izdanie. "Nauka i obrazovanie" [Science & Education], 2013, no. 11. Available at: http://technomag.edu.ru (accessed 22.12.2013). DOI: 10.7463/1113.0622543
[6] Kasatkina T.S., Krishchenko A.P. Terminal control of processes in chemical reactors by orbital linearization method. El. n.-t. izdanie. "Nauka i obrazovanie" [Science & Education], 2013, no.10. Available at: http://technomag.edu.ru (accessed 22.12.2013). DOI: 10.7463/1013.0612563