A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.02.018
Abstract: Abstract In this work, we investigate a multidimensional system consisting of a finite (though arbitrary) number of coupled hyperbolic partial differential equations with fractional diffusion, constant damping and inertial times, and nonlinear reaction terms. Under… read more here.
Keywords: integrator multidimensional; variational integrator; multidimensional systems; explicit variational ... See more keywords
Structural Stability and Asymptotic Stability for Linear Multidimensional Systems: a Counterexample
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DOI: 10.1016/j.ifacol.2017.08.201
Abstract: Abstract In this paper, we revisit the notions of structural stability and asymptotic stability that are often considered as equivalent in the field of multidimensional systems. We illustrate that the equivalence between asymptotic and structural… read more here.
Keywords: boundary conditions; stability asymptotic; asymptotic stability; multidimensional systems ... See more keywords
Multidimensional realisation theory and polynomial system solving
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Control"
DOI: 10.1080/00207179.2017.1378924
Abstract: ABSTRACT Multidimensional systems are becoming increasingly important as they provide a promising tool for estimation, simulation and control, while going beyond the traditional setting of one-dimensional systems. The analysis of multidimensional systems is linked to… read more here.
Keywords: multidimensional realisation; multidimensional systems; realisation theory; system ... See more keywords