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Motion planning and boundary control for a class of linear PDEs with
constant coefficients is presented. With the proposed method transitions
from rest to rest can be achieved in a prescribed finite time. When
parameterizing the system by a flat output, the system trajectories can be
calculated from the flat output trajectory by evaluating definite
convolution integrals. The compact kernels of the integrals can be
calculated using infinite series. Explicit formulae are derived employing
...
We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and...
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