Normal matrix forms to decomposition and control problems for manydimentional systems

A. M. Kamachkin ; G. M. Chitrov ; V. N. Shamberov

Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 13 (2017) no. 4, pp. 417-430

Résumé

We wish to bring attention to the method of construction of nonsingular linear transformation in non-linear control systems. This method allows us to combine the system's dynamics' investigation of their subsystems' behavior with an admissible robust analysis. The nonsingular linear transformation matrix is the product of two matrices: one is constant and the other consists of the parameters dependent elements. The parameter's matrix reflects ambiguity of the choice of transformations and allows to increase a number of decomposition variants. Refs 29.

Détail

Keywords: many-dimensional nonlinear dynamical system, state space, nonsingular linear transformation, first natural normal form of the matrix, Jordan normal form of the matrix, decomposition of the system.
Mots-clés : state variables

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