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The problem of designing a globally exponentially convergent observer for a class of (linear in transport and nonlinear in generation) semi-linear parabolic distributed systems is addressed within a matrix inequality framework, yielding (i) sufficient convergence conditions with physical meaning and (ii) the weight of a Lyapunov functional as design degree… (More)

The problem of designing a globally convergent observer for a class of tubular reactors with boundary measurements is addressed. The problem is tackled by extending a dissipativity theory-based observer design for nonlinear finite-dimensional systems, which has been recently applied to a class of continuous stirred tank reactors. The underlying idea of the… (More)

The dynamics of decisions in complex networks is studied within a Markov process framework using numerical simulations combined with mathematical insight into the process mechanisms. A mathematical discrete-time model is derived based on a set of basic assumptions on the convincing mechanisms associated to two opinions. The model is analyzed with respect to… (More)

- Alexander Schaum, Jaime A. Moreno, Jesus Alvarez
- CDC
- 2008

The problem of designing a globally convergent observer for a class of tubular chemical reactors is addressed. The proposed approach combines dissipativity and modal detectability notions for distributed systems in the light of the particular tubular reactor properties due to the interplay between convective-diffusive transport and nonlinear reaction. The… (More)

Motivated by problems in process design, monitoring and control, the effect of multiplicative stochastic uncertainty injection on the behavior of nonlinear dynamical system is studied with Fokker Planck theory for two rather simple case examples selected to draw rigorous results with analytic formulae. The effect of noise multiplicativeness on the shape of… (More)

- Alexander Schaum, Thomas Meurer
- ECC
- 2015

- Jorge Cervantes, Maria Gomez, Alexander Schaum
- 2013 12th Mexican International Conference on…
- 2013

It is not clear so far what the implications of bifurcations in Discrete-Time Recurrent Neural Networks dynamics are with respect to learning algorithms. Previous studies discussed different phenomena in a general purpose framework, and here we are going to discuss in more detail. We perform an analysis of the dynamics of a neuron with feedback in order to… (More)

- Alexander Schaum, Roberto Bernal Jaquez
- Applied Mathematics and Computation
- 2016

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