✦ LIBER ✦

Analytical computation of differential equations involved in dynamical nonlinear optimal problems

✍ Scribed by Marc Rouff

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 777 KB
Volume: 142
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(96)01126-7

No coin nor oath required. For personal study only.

✦ Synopsis

We present two programs, wntten in Reduce, for non-constrained free endpoint nonlmear dynamical optimal problems, m fixed time, m closed loop and in open loop, which compute analytically the optimal feedback laws m terms of differential equations. The open loop case leads to ordmary differential equations (ODES) and the closed loop leads to partial differential equations (PDEs). In the case of closed loop problems the program uses nonstandard Reduce programming for the declarations of dependencies of u and its parttal derivatives. Algorithms are presented for the open loop and closed loop cases and the same example ts computed in both these cases.

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