Abstract
AbstractDarboux polynomials and relative characteristic polynomials extend to time-invariant nonlinear systems the concept of eigenvector-eigenvalue pair for linear systems, and are, therefore, very useful to depict the behavior of the system. In this article, using tools such as Lie algebras, it is shown how Darboux polynomials can be characterized and computed in closed-form for time-varying nonlinear systems, thus extending similar results valid in the time-invariant case.
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