The Study of the Linearized Solution of a Class of Descriptor Weakly Nonlinear Systems

G.I. Kalogeropoulos, A.D. Karageorgos, and A.A. Pantelous (Greece)


Linearization, Matrix Pencil Theory, Weakly Nonlinear Regular Differential System


Nowadays, many applications are commonly modelled by perturbed descriptor systems. In the present paper, we provide an early study of linearization of a class of ge neralized weakly nonlinear (regular) differential systems. Using the Weierstrass canonical form, the linearized sy stem is decomposed into two subsystems, whose solutions are obtained. The form of the initial condition is given, so that the corresponding initial value problem is uniquely solvable. Finally, a first comparison between the lineari zed and the exact solution is also provided.

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