Implicit Function Theorem for Nonlinear Time-Delay Systems With Algebraic Constraints

In this note, we discuss a generalization of the well-known implicit function theorem to the time-delay case. We show that the latter problem is closely related to the bicausal changes of coordinates of time-delay systems [Califano and Moog (2014), Califano and Moog (2017)]. An iterative algorithm i...

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Bibliographic Details
Published in:	IEEE transactions on automatic control Vol. 69; no. 4; pp. 2629 - 2636
Main Authors:	Chen, Yahao, Ghanes, Malek, Barbot, Jean-Pierre
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.04.2024 The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Institute of Electrical and Electronics Engineers
Subjects:	Algebra Bicausal changes of coordinates causality Computer Science Delays Differential equations Differential operators differential-algebraic equations (DAEs) Function approximation implicit function theorem Iterative algorithms Iterative methods Mathematics Nonlinear systems Optimization and Control Systems and Control Theorems Time delay systems time-delay nonlinear systems time-delay bicausal changes of coordinates differential-algebraic equations implicit function theorem causality
ISSN:	0018-9286, 1558-2523
Online Access:	Get full text
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