Transformations of Linear Standard Systems to Positive Asymptotically Stable Linear Ones

Tadeusz Kaczorek

doi:10.61822/amcs-2024-0024

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Transformations of Linear Standard Systems to Positive Asymptotically Stable Linear Ones

International Journal of Applied Mathematics and Computer Science

Volume 34 (2024): Issue 3 (September 2024)

By: Tadeusz Kaczorek

Open Access

|Oct 2024

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.

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