Optimal Control


  • Christopher L. Darby, William W. Hager, and Anil V. Rao, Direct Trajectory Optimization Using a Variable Low-Order Adaptive Pseudospectral Method, Journal of Spacecraft and Rockets, 48 (2011), pp. 433-445 (doi: 10.2514/1.52136).
  • Divya Garg, William W. Hager, and Anil V. Rao, Pseudospectral methods for solving infinite-horizon optimal control problems, Automatica, 47 (2011), pp. 829-837. (DOI:10.1016/j.automatica.2011.01.085)
  • C. L. Darby, W. W. Hager, and A. V. Rao, An hp-Adaptive Pseudospectral Method for Solving Optimal Control Problems, Optimal Control, Applications and Methods, 32 (2011), pp. 476-502 (DOI: 10.1002/oca.957).
  • Divya Garg, Michael A. Patterson, David Benson, Geoffrey T. Huntington, William W. Hager, and Anil V. Rao, A Unified Framework for the Numerical Solution of Optimal Control Problems Using Pseudospectral Methods, Automatica, 46 (2010), pp. 1843-1851.
  • Divya Garg, Michael A. Patterson, Camila Francolin, Christopher L. Darby, Geoffrey T. Huntington, William W. Hager, and Anil V. Rao, Direct Trajectory Optimization and Costate Estimation of Finite-Horizon and Infinite-Horizon Optimal Control Problems Using a Radau Pseudospectral Method, Computational Optimization and Applications, 49 (2011), pp. 335-358 (DOI: 10.1007/s10589-009-9291-0).
  • Overview of the SIAM Conference on Control and Its Applications, July 11-14, 2001
  • W. W. Hager, Numerical analysis in optimal control, presented at the Conference on Optimal Control of Complex Structures, June 4--10, 2000, Oberwolfach, Germany, organized by K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels and F. Troeltzsch (in International Series of Numerical Mathematics, Vol. 139, Birkhauser Verlag, Basel/Switzerland, 2001, pp. 83-93)
  • A. L. Dontchev, W. W. Hager, and K. Malanowski, Error bounds for the Euler approximation of a state and control constrained optimal control problem (Numerical Functional Analysis and Optimization, 21 (2000), pp. 653-682)
  • A. L. Dontchev, W. W. Hager, and V. M. Veliov, On Quantitative Stability in Optimization and Optimal Control (Set-Valued Analysis, 8 (2000), pp. 31-50)
  • W. W. Hager, Runge-Kutta discretizations of optimal control problems in System Theory, Modeling, Analysis, and Control, T. E. Djaferis and I. C. Schick, eds., Kluwer, Norwell, MA, 2000, pp. 233-244
  • W. W. Hager, Runge-Kutta methods in optimal control and the transformed adjoint system (Numerische Mathematik, 87 (2000), pp. 247-282)
  • A. L. Dontchev, W. W. Hager, and V. M. Veliov, Second-order Runge-Kutta approximations in constrained optimal control (SIAM Journal on Numerical Analysis, 38 (2000), pp. 202-226)
  • A. L. Dontchev, W. W. Hager, and V. M. Veliov, Uniform convergence and mesh independence of Newton's method for discretized variational problems, SIAM Journal on Control and Optimization, 39 (2000), pp. 961-980.
  • A. L. Dontchev and W. W. Hager, The Euler approximation in state constrained optimal control, Mathematics of Computation, 70 (2001), pp. 173-203.
  • A. L. Dontchev and W. W. Hager, Appendix to the Euler approximation in state constrained optimal control
  • A. L. Dontchev and W. W. Hager, A new approach to Lipschitz continuity in state constrained optimal control Systems and Control Letters, 35 (1998), pp. 137-143.
  • A. L. Dontchev and W. W. Hager, Lipschitzian stability for state constrained nonlinear optimal control (SIAM Journal on Control and Optimization, 36 (1998), pp. 696-718)
  • A. L. Dontchev and W. W. Hager, Lipschitzian stability in nonlinear control and optimization, (SIAM Journal on Control and Optimization, 31 (1993), pp. 569-603)
  • W. W. Hager, Multiplier methods for nonlinear optimal control, (SIAM Journal on Numerical Analysis, 27 (1990), pp. 1061-1080)

  • Optcon1.0, C Code for solving unconstrained control problems using explict Runge-Kutta discretizations and the conjugate gradient code CG_DESCENT (Master's Thesis of Shuo Li, 2006)

  • GNU GENERAL PUBLIC LICENSE