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Solvability of a class of complex GinzburgLandau equations in periodic Sobolev spaces
Decomposition of discrete linearquadratic optimal control problems for switching systems
1.  Voronezh State University, Universitetskaya pl., 1, Voronezh, 394006, Russian Federation 
2.  Yasar University, University aven., 3537, Izmir, 35100, Turkey 
References:
[1] 
G. Zhai, H. Lin, X. Xu, J. Imae and T. Kobayashi, Analysis of switched normal discretetime systems, Nonlinear Analysis. Theory Methods Appl., Ser. A, Theory Methods, 66 (2007), No. 8, 17881799. Google Scholar 
[2] 
S. S. Ge, Zhendong Sun and T. H. Lee, Reachability and controllability of switched linear discretetime systems, IEEE Transactions on Automatic Control., 46 (2001), No. 9, 14371441. Google Scholar 
[3] 
Sh. F. Magerramov and K. B. Mansimov, Optimization of a class of discrete step control systems, Computational Mathematics and Mathematical Physics, 41 (2001), No. 3, 334339. Google Scholar 
[4] 
A. Heydari and S. N. Balakrishnan, Optimal switching between autonomous subsystems, Journal of the Franklin Institute., 351 (2014), 26752690. Google Scholar 
[5] 
G. A. Kurina and Y. Zhou, Decomposition of linearquadratic optimal control problems for twosteps systems, Doklady Mathematics, 83 (2011), No. 2, 275277. Google Scholar 
[6] 
G. A. Kurina, On decomposition of linearquadratic optimal control problems for twosteps descriptor systems, in 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDCECC), Orlando, FL, USA, (2011), 67056710. Google Scholar 
[7] 
H. Abou  Kandil, G. Freiling, V. Ionescu and G. Jank, Matrix Riccati Equations in Control and Systems Theory, Birkhäuser Verlag, BaselBostonBerlin, 2003. Google Scholar 
[8] 
D. S. Naidu, Optimal Control Systems, CRC Press, Boca Raton London, New York, Washington, 2003. Google Scholar 
[9] 
E. R. Smolyakov, Unknown pages of optimal control history, Editorial URSS, Moscow, 2002 (Russian). Google Scholar 
[10] 
A. V. Dmitruk and A. M. Kaganovich, The hybrid maximum principle is a consequence of Pontryagin maximum principle, Systems and Control Letters, 57 (2008), No.11, 964970. Google Scholar 
[11] 
G. A. Kurina and E. V. Smirnova, Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters , Journal of Mathematical Sciences, 170 (2010), No. 2, 192228. Google Scholar 
show all references
References:
[1] 
G. Zhai, H. Lin, X. Xu, J. Imae and T. Kobayashi, Analysis of switched normal discretetime systems, Nonlinear Analysis. Theory Methods Appl., Ser. A, Theory Methods, 66 (2007), No. 8, 17881799. Google Scholar 
[2] 
S. S. Ge, Zhendong Sun and T. H. Lee, Reachability and controllability of switched linear discretetime systems, IEEE Transactions on Automatic Control., 46 (2001), No. 9, 14371441. Google Scholar 
[3] 
Sh. F. Magerramov and K. B. Mansimov, Optimization of a class of discrete step control systems, Computational Mathematics and Mathematical Physics, 41 (2001), No. 3, 334339. Google Scholar 
[4] 
A. Heydari and S. N. Balakrishnan, Optimal switching between autonomous subsystems, Journal of the Franklin Institute., 351 (2014), 26752690. Google Scholar 
[5] 
G. A. Kurina and Y. Zhou, Decomposition of linearquadratic optimal control problems for twosteps systems, Doklady Mathematics, 83 (2011), No. 2, 275277. Google Scholar 
[6] 
G. A. Kurina, On decomposition of linearquadratic optimal control problems for twosteps descriptor systems, in 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDCECC), Orlando, FL, USA, (2011), 67056710. Google Scholar 
[7] 
H. Abou  Kandil, G. Freiling, V. Ionescu and G. Jank, Matrix Riccati Equations in Control and Systems Theory, Birkhäuser Verlag, BaselBostonBerlin, 2003. Google Scholar 
[8] 
D. S. Naidu, Optimal Control Systems, CRC Press, Boca Raton London, New York, Washington, 2003. Google Scholar 
[9] 
E. R. Smolyakov, Unknown pages of optimal control history, Editorial URSS, Moscow, 2002 (Russian). Google Scholar 
[10] 
A. V. Dmitruk and A. M. Kaganovich, The hybrid maximum principle is a consequence of Pontryagin maximum principle, Systems and Control Letters, 57 (2008), No.11, 964970. Google Scholar 
[11] 
G. A. Kurina and E. V. Smirnova, Asymptotics of solutions of optimal control problems with intermediate points in quality criterion and small parameters , Journal of Mathematical Sciences, 170 (2010), No. 2, 192228. Google Scholar 
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