ESTONIAN ACADEMY
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Proceedings of the Estonian Academy of Sciences. Physics. Mathematics

Algebraic formalism of differential one-forms for nonlinear control systems on time scales; 264-282

Full article in PDF format | 10.3176/phys.math.2007.3.03

Authors
Zbigniew Bartosiewicz, Ülle Kotta, Ewa Pawłuszewicz, Małgorzata Wyrwas

Abstract

The paper develops algebraic formalism of differential one-forms, associated with the nonlinear control system defined on homogeneous time scales. This formalism unifies the existing theories for continuous- and discrete-time systems. A field of meromorphic functions, corresponding to a control system, is introduced. It is equipped with two operators whose properties are studied. An inversive closure of this field is constructed with the aid of one-forms.


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