191 research outputs found
A Mathematical Model for Signal's Energy at the Output of an Ideal DAC
The presented research work considers a mathematical model for energy of the
signal at the output of an ideal DAC, in presence of sampling clock jitter.
When sampling clock jitter occurs, the energy of the signal at the output of
ideal DAC does not satisfies a Parseval identity. Nevertheless, an estimation
of the signal energy is here shown by a direct method involving sinc functions
Reachability problems for a wave-wave system with a memory term
We solve the reachability problem for a coupled wave-wave system with an integro-differential term. The control functions act on one side of the boundary. The estimates on the time is given in terms of the parameters of the problem and they are explicitly computed thanks to Ingham type results. Nevertheless some restrictions appear in our main results. The Hilbert Uniqueness Method is briefly recalled. Our findings can be applied to concrete examples in viscoelasticity theor
Solutions of fractional logistic equations by Euler's numbers
In this paper, we solve in the convergence set, the fractional logistic
equation making use of Euler's numbers. To our knowledge, the answer is still
an open question. The key point is that the coefficients can be connected with
Euler's numbers, and then they can be explicitly given. The constrained of our
approach is that the formula is not valid outside the convergence set,
The idea of the proof consists to explore some analogies with logistic
function and Euler's numbers, and then to generalize them in the fractional
case.Comment: Euler's numbers, Biological Application, Fractional logistic equatio
Control problems for weakly coupled systems with memory
We investigate control problems for wave-Petrovsky coupled systems in the
presence of memory terms. By writing the solutions as Fourier series, we are
able to prove Ingham type estimates, and hence reachability results. Our
findings have applications in viscoelasticity theory and linear acoustic
theory
Robot's hand and expansions in non-integer bases
We study a robot hand model in the framework of the theory of expansions in
non-integer bases. We investigate the reachable workspace and we study some
configurations enjoying form closure properties.Comment: 22 pages, 10 figure
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