Nabla derivatives associated with nonlinear control systems on homogeneous time scales
Articles
Zbigniew Bartosiewicz
Bialystok University of Technology, Poland
Ülle Kotta
Tallinn University of Technology, Estonia
Tanel Mullari
Tallinn University of Technology, Estonia
Maris Tõnso
Tallinn University of Technology, Estonia
Ewa Pawluszewicz
Bialystok University of Technology, Poland
Małgorzata Wyrwas
Bialystok University of Technology, Poland
Published 2016-07-21
https://doi.org/10.15388/NA.2016.4.8
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Keywords

nonlinear system
time scale
vector field
one-form
nabla and delta derivatives

How to Cite

Bartosiewicz, Z. (2016) “Nabla derivatives associated with nonlinear control systems on homogeneous time scales”, Nonlinear Analysis: Modelling and Control, 21(4), pp. 547–563. doi:10.15388/NA.2016.4.8.

Abstract

The backward shift and nabla derivative operators, defined by the control system on homogeneous time scale, in vector spaces of one-forms and vector fields are introduced and some of their properties are proven. In particular the formulas for components of the backward shift and nabla derivative of an arbitrary vector field are presented.

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