期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2010
卷号：2010
DOI：10.1155/2010/461048
出版社：Hindawi Publishing Corporation
摘要：We introduce a formulation for the time-optimal control
problems of systems displaying fractional dynamics in the sense of the
Riemann-Liouville fractional derivatives operator. To propose a solution
to the general time-optimal problem, a rational approximation based on
the Hankel data matrix of the impulse response is considered to emulate
the behavior of the fractional differentiation operator. The original problem is then reformulated according to the new model which can be solved
by traditional optimal control problem solvers. The time-optimal problem is extensively investigated for a double fractional integrator and its
solution is obtained using either numerical optimization time-domain
analysis.
