Deterministic Observation Theory and Applications: Appendix
By Jean-Paul André Gauthier, I. Kupka. 2001
477 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/a36ce16ef73788f8d64342ea5857cad526582791
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Cédric Join
- Hebertt Sira-Ramírez
- Alain Rapaport
- Michel Fliess
- Axel Barrau
- É. Busvelle
- Jean-Luc Gouzé
- Silvere Bonnabel
Citations in the corpus
- New Results on Identifiability of Nonlinear Systems (2004, methodology): “Consider now locally defined systems Σ̃ on W̄h3 : Σ̃ ẋ = f̃ (x, y3) ẏ1 = h̃1 (x, y3) ẏ2 = h̃2 (x, y3) By the book (Gauthier and Kupka, 2001), there are bad sets B̃ in jk Σ̃ (the set of k–jets of these systems), relative to immersivity.”
- Parallelotopic and practical observers for non-linear uncertain systems (2003, methodology): “…the system (4) are well defined for functions that are only measurable w.r.t. t and Lipschitz w.r.t. x, we shall consider, when studying differential observability with inputs, a dense subset of smooth inputs (see Gauthier and Kupka 2001), for which the map t! yðtÞ can be differentiated n 1 times.”
- Homogeneous Approximation, Recursive Observer Design, and Output Feedback (2008, background): “It can be found for instance in [28, 26, 23, 30, 35]) and [7, Lemma 6.2.1]).”
- The Invariant Extended Kalman Filter as a Stable Observer (2014, methodology): “We analyze the convergence aspects of the invariant extended Kalman filter (IEKF), when the latter is used as a deterministic non-linear observer on Lie groups, for continuoustime systems with discrete observations.”
- Non-linear estimation is easy (2007, background): “…23 of observability is “roughly” equivalent (see Diop & Fliess (1991a,b) for details 24 ) to its usual differential geometric counterpart due to Hermann & Krener (1977) (see also Conte, Moog & Perdon (1999); Gauthier & Kupka (2001); Isidori (1995); Nijmeijer & van der Schaft (1990); Sontag (1998)).”
- High-gain observers in nonlinear feedback control (2009, unknown): “The following paragraph is inspired by [62].”