Approximate Solution of the Problem of Optimal Control for a Singularly Perturbed Differential-Algebraic System
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- 作者：O. V. Tarasenko (1)
1. Gogol鈥?Nezhin State Pedagogic University Ukraine ; 16600 ; 2 Krapivyanskii Str. ; Nezhin ; Ukraine - 刊名：Journal of Mathematical Sciences
- 出版年：2015
- 出版时间：March 2015
- 年：2015
- 卷：205
- 期：6
- 页码：848-858
- 全文大小：120 KB
- 参考文献：1. N. I. Shkil鈥?and V. N. Leifura, 鈥淥n the asymptotic solution of the problem of optimal control for systems with slowly varying coefficients,鈥? / Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 604鈥?08 (1976).
2. N. I. Shkil鈥?and V. N. Leifura, 鈥淥n the asymptotic solution of the problem of optimal control for systems with slowly varying coefficients in the case of multiple roots,鈥?in: / Interdepartmental Republican Collection of Works, Computational and Applied Mathematics [in Russian], Issue 31 (1977), pp. 81鈥?2.
3. Shkil鈥? NI, Starun, II, Yakovets鈥? VP (1991) Asymptotic Integration of Linear Systems of Differential Equations with Degenerations [in Russian]. Vyshcha Shkola, Kiev
4. Samoilenko, AM, Shkil鈥? MI, Yakovets鈥? VP (2000) Linear Systems of Differential Equations with Degenerations [in Ukrainian]. Vyshcha Shkola, Kyiv
5. A. M. Samoilenko and V. P. Yakovets鈥? 鈥淥n the reducibility of degenerate linear systems to the central canonical form,鈥? / Dokl. Nats. Akad. Nauk Ukr., No. 4, 10鈥?5 (1993).
6. O. V. Tarasenko, 鈥淎pplication of the maximum principle to the degenerate linear problems of optimal control,鈥?in: / Proc. of the Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences [in Russian], 18 (2009), pp. 178鈥?83.
7. Pontryagin, LS, Boltyanskii, VG, Gamkrelidze, RV, Mishchenko, EF (1983) Mathematical Theory of Optimal Processes [in Russian]. Nauka, Moscow
8. Boichuk, AA, Zhuravlev, VF, Samoilenko, AM (1995) Generalized Inverse Operators and Fredholm Boundary-Value Problems [in Russian]. Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev
9. Tikhonov, AN, Arsenin, VY (1979) Methods for the Solution of Ill-Posed Problems [in Russian]. Nauka, Moscow
10. Bliss, GA (1946) Lectures on the Calculus of Variations. University of Chicago Press, Chicago - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Russian Library of Science - 出版者：Springer New York
- ISSN：1573-8795
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