Finding a Positive Constrained Control for a Linear System to Reach a Given Point within a Finite Time
Анотація
У цій роботі розглядається лінійна система з керуванням $u \in \Omega$, де $\Omega$~- деяка область, яка не містить початку координат, як внутрішньої точки. Зокрема, початок координат може не належати множині $\omega$.
Розв'язано задачу синтезу, тобто за допомогою методу функції керованості побудоване керування $u(x) \in \Omega$, яке переводить точку $x$, що належить околу $V(0)$, до $0$ за кінцевий час. Крім того, цю функцію можна знайти, як час руху від точки $x\in V(0)$ до початку координат.
Також розглянуто задачу синтезу для керованої лінійної системи з неавтономним членом.
Mathematical Subject Classification 2020: 93B05, 93B50, 93B52, 93C28,
93D05, 93D40
Ключові слова:
керована система, задача синтез, функція керованості, позиційне керування, додатне обмежене керуванняПосилання
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