BNDSCO–A program for the numerical solution of optimal control problems. BNDSCO is used for the numerical solution of boundary value problems with switching conditions - a class of problems which mainly occurs in connection with optimal control problems. Therefore, the most important necessary conditions for different types of unconstrained and constrained optimal control problems are summarized. The theoretical description of the method, which is essentially an extended version of multiple shooting, is followed by detailed instructions for initializing the input parameters, controlling the output and for the construction of problem-dependent subroutines. Finally, the performance of BNDSCO is demonstrated with a simple example.

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  1. Aykutlug, Erkut; Topcu, Ufuk; Mease, Kenneth D.: Manifold-following approximate solution of completely hypersensitive optimal control problems (2016)
  2. Pytlak, Radosław; Tarnawski, Tomasz; Fajdek, Bartłomiej; Stachura, Marcin: Interactive dynamic optimization server -- connecting one modelling language with many solvers (2014)
  3. Vossen, G.: $\calH_2,\alpha$-norm optimal model reduction for optimal control problems subject to parabolic and hyperbolic evolution equations (2014)
  4. Simoncini, V.: Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems (2012)
  5. Bonnans, J.Frédéric; Hermant, Audrey: Second-order analysis for optimal control problems with pure state constraints and mixed control-state constraints (2009)
  6. Brogliato, Bernard: Some results on optimal control with unilateral state constraints (2009)
  7. Walther, Andrea: Automatic differentiation of explicit Runge-Kutta methods for optimal control (2007)
  8. Feichtinger, G.; Steindl, A.: DNS curves in a production/inventory model (2006)
  9. Schmidt, Werner H.: Numerical methods for optimal control problems with ODE or integral equations (2006)
  10. Heinkenschloss, Matthias: A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems (2005)
  11. Griesse, R.; Walther, A.: Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation (2004)
  12. Kim, J.-H.R.; Lippi, G.L.; Maurer, H.: Minimizing the transition time in lasers by optimal control methods: single-mode semiconductor laser with homogeneous transverse profile (2004)
  13. Malanowski, K.; Maurer, H.; Pickenhain, S.: Second-order sufficient conditions for state-constrained optimal control problems (2004)
  14. Maurer, Helmut; Osmolovskii, Nikolai P.: Second order sufficient conditions for time-optimal bang-bang control (2004)
  15. Caillau, J.B.; Gergaud, J.; Noailles, J.: 3D geosynchronous transfer of a satellite: Continuation on the thrust (2003)
  16. Iserles, Arieh: On the global error of discretization methods for highly-oscillatory ordinary differential equations (2002)
  17. Augustin, Dirk; Maurer, Helmut: Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints (2001)
  18. Augustin, Dirk; Maurer, Helmut: Computational sensitivity analysis for state constrained optimal control problems (2001)
  19. Augustin, Dirk; Maurer, Helmut: Sensitivity analysis and real-time control of a container crane under state constraints (2001)
  20. Kim, J.-H. R.; Maurer, H.; Astrov, Yu. A.; Bode, M.; Purwins, H.-G.: High-speed switch-on of a semiconductor gas discharge image converter using optimal control methods. (2001)

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