RT Journal Article
T1 Basic control theory for linear fractional differential equations with constant coefficients
A1 Buedo Fernández, Sebastián
A1 Nieto Roig, Juan José
K1 Linear differential equations
K1 Controllability
K1 Fractional Gramian
K1 Fractional Differential Equations
K1 Kalman Matrix
AB In this paper we present an analogous result of the famous Kalman controllability criterion for first order linear ordinary differential equations with constant coefficients that applies to the case of linear differential equations of fractional order with constant coefficients. We use the fractional Gramian matrix, the range space and the Kalman matrix as main tools to derive a sufficient and necessary condition for the controllability of the fractional system. Moreover, we provide some simple examples, including a linear fractional harmonic oscillator, to illustrate our results. Finally, several open problems arising from this topic are suggested, including another simple linear system of incommensurate fractional orders
PB Frontiers Media
YR 2020
FD 2020
LK http://hdl.handle.net/10347/26670
UL http://hdl.handle.net/10347/26670
LA eng
NO Buedo-Fernández S and Nieto JJ (2020) Basic Control Theory for Linear Fractional Differential Equations With Constant Coefficients. Front. Phys. 8:377. doi: 10.3389/fphy.2020.00377
NO This research has been partially supported by the AEI of Spain under Grant MTM2016-75140-P, co-financed by European Community fund FEDER and XUNTA de Galicia under grant ED431C 2019/02. Sebastián Buedo-Fernández also acknowledges current funding from Ministerio de Educación, Cultura y Deporte of Spain (FPU16/04416) and previous funding from Xunta de Galicia (ED481A-2017/030)
DS Minerva
RD 24 abr 2026