Reduction and transfer equivalence on nonlinear control systems: unification and extension via pseudo-linear algebra

Title:

Reduction and transfer equivalence on nonlinear control systems: unification and extension via pseudo-linear algebra

Creator:

Kotta, Ülle, Kotta, Palle, and Halás, Miroslav

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:9e53ba1f-aacc-4ef1-be3b-d321b9749e5d
uuid:9e53ba1f-aacc-4ef1-be3b-d321b9749e5d

Subject:

nonlinear control systems, input-output models, reduction, pseudo-linear algebra, and transfer equivalence

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper applies the pseudo-linear algebra to unify the results on reducibility, reduction and transfer equivalence for continuous- and discrete-time nonlinear control systems. The necessary and sufficient condition for reducibility of nonlinear input-output equation is presented in terms of the greatest common left factor of two polynomials describing the behaviour of the `tangent linearized system' equation. The procedure is given to find the reduced (irreducible) system equation that is transfer equivalent to the original system equation. Besides unification, the tools of pseudo-linear algebra allow to extend the results also for systems defined in terms of difference, q-shift and q-difference operators.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[831]-849

Source:

Kybernetika | 2010 Volume:46 | Number:5

Harvested from:

CDK

Metadata only:

false