On K-Positivity Properties of Time-Invariant Linear Systems Subject to Discrete Point Lags

• Published in: Positivity : an international journal devoted to the theory and applications of positivity in analysis Vol. 11; no. 2; pp. 319 - 340
• Main Author: De la Sen, Manuel
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer 01.05.2007; Springer Nature B.V
• Subjects: Control theory; Exact sciences and technology; Global analysis, analysis on manifolds; Mathematical analysis; Mathematical models; Mathematics; Ordinary differential equations; Sciences and techniques of general use; Studies; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Linear system; Differential equation; Differential invariant; Functional equation; Positivity; Delay time; Dynamical system; Delay equation

This paper discusses non-negativity and positivity concepts and related properties for the state and output trajectory solutions of dynamic linear time-invariant systems described by functional differential equations subject to point time-delays. The various non-negativity and positivity introduced...