It is well known that classical Runge-Kutta approximations for dynamical systems do not converge with high order when the control is not smooth with respect to time. We consider here a generalization of RK schemes far linear systems which preserves its order with measurable controls, and obtain as consequence a result of high-order approximation for the reachable set.
Ferretti, R. (1997). High-order approximations of linear control systems via Runge-Kutta schemes. COMPUTING, 58(4), 351-364 [10.1007/BF02684347].
High-order approximations of linear control systems via Runge-Kutta schemes
FERRETTI, Roberto
1997-01-01
Abstract
It is well known that classical Runge-Kutta approximations for dynamical systems do not converge with high order when the control is not smooth with respect to time. We consider here a generalization of RK schemes far linear systems which preserves its order with measurable controls, and obtain as consequence a result of high-order approximation for the reachable set.File in questo prodotto:
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