Title :
Eigenvalues for a nonlinear time-delay system
Author_Institution :
Inst. of Robot. & Cybern., Slovak Univ. of Technol., Bratislava, Slovakia
Abstract :
The paper introduces the notion of an eigenvalue of a nonlinear time-delay system. It is shown that the respective object, playing the role of an eigenvalue, is a specific non-commutative polynomial, as it is invariant under a change of coordinates. The basic properties and possible applications of such a formalism are then discussed. Namely, the transformation of a nonlinear time-delay system into the diagonal form.
Keywords :
delays; eigenvalues and eigenfunctions; nonlinear systems; eigenvalues; noncommutative polynomial; nonlinear time-delay system; Delays; Educational institutions; Eigenvalues and eigenfunctions; Linear systems; Nonlinear systems; Polynomials; Vectors;
Conference_Titel :
System Theory, Control and Computing (ICSTCC), 2014 18th International Conference
Conference_Location :
Sinaia
DOI :
10.1109/ICSTCC.2014.6982431
