Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Nonlinear Time-Delay Systems

Part of the SpringerBriefs in Electrical and Computer Engineering Book Series

DOI: 10.1007/978-3-030-72026-1

ISBN: 978-3-030-72025-4

Publisher: Springer International Publishing - Springer Journals

May 31, 2021

Available

Preliminaries

Califano, Claudia; Moog, Claude H.

Pages: 1 –13

[Time-delay systems are modeled by ordinary differential equations which involve delayed variables (Gu et al. 2003; Krstic 2009). They are frequently encountered in many applications, for instance, in biology or biomedical systems (Timmer et al. 2004), in telerobotics, teleoperations (Islam et...
Available

Geometric Tools for Time-Delay Systems

Califano, Claudia; Moog, Claude H.

Pages: 15 –36

[In this chapter, we introduce the main tools that will be used in the book to deal with nonlinear time-delay systems affected by constant commensurate delays. We will introduce basic notions such as the Extended Lie derivative and the Polynomial Lie Bracket (Califano et al. 2011a; Califano and...
Available

The Geometric Framework—Results on Integrability

Califano, Claudia; Moog, Claude H.

Pages: 37 –56

[In this chapter, we will focus our attention on the solvability of a set of partial differential equations of the first order, or equivalently the integrability problem of a set of one forms when the given variables are affected by a constant delay.]
Available

Accessibility of Nonlinear Time-Delay Systems

Califano, Claudia; Moog, Claude H.

Pages: 57 –74

[In this chapter, the accessibility properties of a nonlinear time-delay system affected by constant commensurate delays are fully characterized in terms of absence of non-constant autonomous functions, that is functions which are non-constant and whose derivatives of any order are never affected...
Available

Observability

Califano, Claudia; Moog, Claude H.

Pages: 75 –84

[Observability is an important characteristics of a system, which allows to address several problems when only the output function can be measured. Many authors have focused on the observer design problem starting from linear systems to nonlinear ones, adding then delays. Several differences...
Available

Applications of Integrability

Califano, Claudia; Moog, Claude H.

Pages: 85 –97

[In this chapter, it will be shown how the tools and methodologies introduced in the previous chapters can be used to address classical control problems, underlying also the main difference in the results with respect to the delay-free case.]

results per page

Prev
1
Next

Browse All eBooks