### Abstract

Recent work by P. Brunovsky and the author has made it possible to prove general existence theorems for piecewise analytic closed-loop solutions of various classes of optimal control problems, as well as regularity theorems for the corresponding optimal cost functions. A description is given of some of these results, and the techniques used to prove them. It turns out that, using the theory of subanalytic sets, one can prove such results whenever a certain condition - which the authors call ″finite-dimensional analytic reducibility″ - is satisfied. An explanation is given as to why this condition is important, and several examples of classes of systems that satisfy it are given.

Original language | English (US) |
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Pages (from-to) | 17-22 |

Number of pages | 6 |

Journal | National Conference Publication - Institution of Engineers, Australia |

State | Published - Jan 1 1979 |

Event | Proc, Jt Autom Control Conf - Denver, CO, USA Duration: Jun 17 1979 → Jun 21 1979 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)