On accessibility conditions for state space nonlinear control systems on homogeneous time scales

An algebraic formalism for nonlinear control systems defined on homogeneous time scales is introduced. This formalism is based on the forward, backward shifts, delta and nabla operators of differential one-forms and vector fields. The accessibility conditions for considered control systems both in t...

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Bibliographic Details
Published in:Systems & control letters 2016-12, Vol.98, p.8-13
Main Authors: Bartosiewicz, Z., Kotta, Ü., Mullari, T., Tõnso, M., Wyrwas, M.
Format: Article
Language:English
Subjects:
Accessibility
Nabla and delta operators
Nonlinear system
One-form
Time scale
Vector field
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Summary:An algebraic formalism for nonlinear control systems defined on homogeneous time scales is introduced. This formalism is based on the forward, backward shifts, delta and nabla operators of differential one-forms and vector fields. The accessibility conditions for considered control systems both in terms of vector fields and one-forms are presented.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2016.09.018