CONTINUOUS APPROXIMATION OF 3 STEPWISE FUNCTIONS IN THE NON-STANDARD OPTIMAL CONTROL PROBLEM
| Autor: | Wan N. A. W. Ahmad, Norziha Che-Him, Suliadi Sufahani, Rozaini Roslan, Mohd Saifullah Rusiman, Alan S. I. Zinober, Kamil Khalid |
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| Rok vydání: | 2017 |
| Předmět: |
General Mathematics
Hyperbolic function State (functional analysis) Function (mathematics) Optimal control 03 medical and health sciences 0302 clinical medicine Shooting method 030220 oncology & carcinogenesis Piecewise Applied mathematics 030211 gastroenterology & hepatology Golden ratio Limit (mathematics) Mathematics |
| Zdroj: | Far East Journal of Mathematical Sciences (FJMS). 102:2797-2807 |
| ISSN: | 0972-0871 |
| DOI: | 10.17654/ms102112797 |
| Popis: | A current ideal control issue in the region of financial aspects has numerical properties that do not fall into the standard optimal control problem detailing. In our concern, the state condition at the final time, y(T ) = z, is free and obscure, and furthermore, the integrand is a piecewise consistent capacity of the obscure esteem y(T ). This is not a standard optimal control problem and cannot be settled utilizing Pontryagin’s minimum principle with the standard limit conditions at the final time. In the standard issue, a free final state y(T ) yields an important limit condition p(T ) = 0, where p(t) is the costate. Since the integrand is a component of y(T ), the new fundamental condition is that y(T ) yield is equivalent to a specific necessary consistent capacity of z. We present a continuous approximation of the piecewise consistent integrand function through hyperbolic tangent approach and tackle a case utilizing a C++ shooting method. The limiting free y(T ) value is computed in an external circle emphasis through the golden section method. |
| Databáze: | OpenAIRE |
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