OPTIMAL BOSHQARISH MASALALARINI YECHISH UCHUN IZOXRON USUL VA UNI PONTRYAGIN MAKSIMUM PRINTSIPI YORDAMIDA TATBIQ ETISH
Keywords:
Kalit so‘zlar: optimal boshqarish, izoxron variatsiya, Pontryagin maksimum printsipi, Gamilton funksiyasi, qo‘shma o‘zgaruvchilar, kanonik tenglamalar, ekstremal trayektoriya, ko‘ndalang shartlar, dinamik tizim, variatsion hisob.Abstract
Annotatsiya. Ushbu maqolada dinamik tizimlarning optimal boshqarish
masalalarini yechishda qo‘llaniladigan izoxron usul batafsil tahlil qilinadi va uning
amaliy tatbiqi aniq misol asosida ko‘rsatiladi. Izoxron variatsiya — bu vaqt chegaralari t0 va tf qat'iy saqlangan holda, faqat holat va boshqaruv trayektoriyalari kichik variatsiyaga uchratiladigan klassik variatsion hisob usuli bo‘lib, uning yordamida
Pontryagin maksimum printsipi qat'iy matematik asosda keltirib chiqariladi. Maqolada
Gamilton funksiyasi, qo‘shma o‘zgaruvchilar va kanonik tenglamalar tizimi yordamida
masala yechilishining bosqichma-bosqich algoritmi keltiriladi. Nazariy tahlil natijalari
kosmik apparatning bir o‘lchamli optimal harakat masalasi misolida amalda
qo‘llanilib, optimal boshqaruv funksiyasi, qo‘shma o‘zgaruvchi va trayektoriya
analitik usulda topiladi.
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