- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Asymptotic solution for linear quadratic optimal control problems with quadratic small parameter | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 10, Issue 1, 2018, Pages 32-39 PDF (0 K) | ||
| Authors | ||
| Methaq Hamza Geem; Saud Mohammed Hassan | ||
| Abstract | ||
| In this paper we constructed an expansion of an asymptotic solution for singularly perturbed linear-quadratic optimal control with quadratic parameter problem. This formulation is based on direct substituting a postulated asymptotic expansion of boundary function type for the solution into the problem condition and on defining optimal control problems for finding asymptotic terms. The solutions of which form (ϵ=0) for the asymptotic solution, is proven. In physical mathematic problem we say the singularly perturbed linearly quadratic problems is "fast and slow " velocity , in this work we discussed the concept " The slowest velocity" by taken quadratic small parameter in the singularly perturbed linearly quadratic problems. | ||
| Keywords | ||
| asymptotic; singularly perturbed; Linear; quadratic optimal; boundary function; small parameter | ||
|
Statistics Article View: 250 PDF Download: 104 |
||