`a`
Numerical Algebra, Control and Optimization (NACO)
 

Numerical method for solving optimal control problems with phase constraints
Pages: 481 - 492, Issue 4, December 2017

doi:10.3934/naco.2017030      Abstract        References        Full text (541.6K)           Related Articles

Alexander Tyatyushkin - Matrosov Institute for System Dynamics and Control Theory SB RAS, Lermontov str., 134, 664033, Russian Federation (email)
Tatiana Zarodnyuk - Matrosov Institute for System Dynamics and Control Theory SB RAS, Lermontov str., 134, 664033, Russian Federation (email)

1 A. Bondarenko, D. Bortz and J. More, A collection of large-scale nonlineary constrained optimization test problems, Optimization Online, 20 (1998), 18-32.
2 Yu. G. Evtushenko, Methods for Solving Extreme Problems and Their Application in Optimization Systems, Moscow, Nauka, 1982. (In Russian)       
3 R. Gabasov, F. M. Kirillova and A. I. Tyatyushkin, Constructive Methods of Optimization. P.1: Linear Problems, Minsk, University, 1984.       
4 P. Gill, W. Murray and M. Wright, Practical Optimization, Moscow, Mir, 1985.       
5 A. Yu. Gornov, The Computational Technologies for Solving Optimal Control Problems, Nauka, Novosibirsk, 2009.
6 A. Yu. Gornov, A. I. Tyatyushkin and E. A. Finkelstein, Numerical methods for solving terminal optimal control problems, Computational Mathematics and Mathematical Physics, 56 (2016), 221-234.       
7 A. Yu. Gornov and T. S. Zarodnyuk, Tunneling algorithm for solving nonconvex optimal control problems, Optimization, Simulation, and Control, Springer Optimization and Its Applications, 76 (2013), 289-299.
8 A. Yu. Gornov, T. S. Zarodnyuk, T. I. Madzhara, A. V. Daneyeva and I. A. Veyalko, A collection of test multiextremal optimal control problems, Optimization, Simulation, and Control, Springer Optimization and Its Applications, 76 (2013), 257-274.
9 V. I. Gurman, V. A. Baturin and I. V. Rasina, Approximate Methods of Optimal Control, Irkutsk, IGU Padlisher, 1983. (In Russian)
10 I. L. Junkins and I. D. Turner, Optimal continuous torque attitude maneuvers, Proc. AIAA/AAS Astrodynamics Conference, Palo Alto, Calif, 20 (1978), 78.
11 A. I. Tyatyushkin, A multimethod technique for solving optimal control problem, Optimization Letters, 7 (2012), 1335-1347.       
12 A. I. Tyatyushkin and O. V. Morzhin, Constructive methods of control optimization in nonlinear systems, Automation and Remote Control, 70 (2009), 772-786.       
13 A. I. Tyatyushkin and O. V. Morzhin, On optimization of position control in attainability tube in a model problem, Journal of Computer and Systems Sciences International, 49 (2010), 740-749.       
14 A. I. Tyatyushkin and O. V. Morzhin, Numerical investigation of attainability sets of nonlinear controlled differential systems, Automation and Remote Control, 72 (2011), 1291-1300.       
15 Y. Wang, C. Yu and K. L. Teo, A new computational strategy for optimal control problem with a cost on changing control, Numerical Algebra, Control and Optimization, 6 (2013), 339-364.       
16 A. I. Zholudev, A. I. Tyatyushkin and N. M. Erinchek, Numerical methods for optimization of control systems, Izvestiya: Technical cybernetics, 4 (1989), 18-32. (In Russian)

Go to top