International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2024
Volume 34 - 2024

Transformations of linear standard systems to positive asymptotically stable linear ones

Tadeusz Kaczorek

Abstract
New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation matrix can be chosen in block diagonal form. Procedures for the computation of the transformation matrices are proposed and illustrated with simple numerical examples.

Keywords
asymptotical stability, positive system, continuous-time system, linear system

DOI
10.61822/amcs-2024-0024