타이틀 |
The Vertical Linear Fractional Initialization Problem |
저자 |
Tom T. Hartley and Carl F. Lorenzo |
Keyword |
Fractional calculus; Fractional differential equations; Systems; Eigenfunction |
URL |
http://gltrs.grc.nasa.gov/reports/1999/TP-1999-208919.pdf |
보고서번호 |
NASA TP-1999-208919 |
발행년도 |
1999 |
출처 |
NASA Glenn Research Center |
ABSTRACT |
This paper presents a solution to the initialization problem for a system of linear fractional-order differential equations. The scalar problem is considered first, and solutions are obtained both generally and for a specific initialization. Next the vector fractional order differential equation is considered. In this case, the solution is obtained in the form of matrix F-functions. Some control implications of the vector case are discussed. The suggested method of problem solution is shown via an example. |