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Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Lossless systems input normal forms output normal forms balanced canonical forms
2011/2/21
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllability matrix is positi...
Strict and fussy mode splitting in the tangent space of the Ginzburg-Landau equation
Ginzburg-Landau equation finite value isolated modes
2010/4/6
In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set of hyperbolicall...