Diagnosis for a class of non-differentially flat and Liouvillian systems

Martínez-Guerra, Rafael; González-Galan, R.; Luviano‐Juárez, Alberto; Cruz-Victoria, Juan C.

doi:10.1093/imamci/dnl014

Cited by 18 publications

(8 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Linear systems with constant coefficients are considered in various fields ( see [2,5], [8]- [10] ). In our paper [10] we use the rational canonical form and a certain sum of principal minors to reduce a linear system of first order operator equations with constant coefficients to an equivalent, so called partially reduced, system.…”

Section: Introductionmentioning

confidence: 99%

Differential Transcendency in the Theory of Linear Differential Systems with Constant Coefficients

Malešević

Todoric

Jovovic

et al. 2012

ISRN Mathematical Analysis

View full text Add to dashboard Cite

In this paper we consider a reduction of a non-homogeneous linear system of first order operator equations to a totally reduced system. Obtained results are applied to Cauchy problem for linear differential systems with constant coefficients and to the question of differential transcendency. Keywords:Linear system of first order operator equations with constant coefficients, n th order linear operator equation with constant coefficients, the characteristic polynomial, sum of principal minors, differential transcendency Email addresses : Branko Malešević , Dragana Todorić , Ivana Jovović , Sonja Telebaković

show abstract

Section: Introductionmentioning

confidence: 99%

Differential Transcendency in the Theory of Linear Differential Systems with Constant Coefficients

Malešević

Todoric

Jovovic

et al. 2012

ISRN Mathematical Analysis

View full text Add to dashboard Cite

show abstract

“…Some model-based approaches can be found, as the approaches based upon differential geometric methods [4][5]. On the other hand there are approaches proposed in an algebraic and differential framework [6][7][8][9][10][11][12][13][14]. These approaches consist in the observation of the dynamics of the fault variables, which are defined as uncertain inputs [15].…”

Section: Introductionmentioning

confidence: 99%

“…SOME DEFINITIONS Some basic definitions are introduced. Further details can be found in [6,8,[9][10][11]14] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Fault reconstruction for nonlinear systems using sliding mode observers

Martínez-Guerra

Rincon-Pasaye

2007

2007 46th IEEE Conference on Decision and Control

View full text Add to dashboard Cite

show abstract

“…SOME DEFINITIONS Some basic definitions are introduced. Further details can be found in [1][2][3][4][5][6][7] and references therein. Definition 1 Let L and IC be differential fields.…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis by means of sliding mode techniques

Rincon-Pasaye

Martínez-Guerra

2007

2007 4th International Conference on Electrical and Electronics Engineering

View full text Add to dashboard Cite

In this work, the fault diagnosis problem for nonlinear systems is treated, some results based on a differential algebraic approach are used in order to determine fault diagnosability and one nonlinear observer using a sliding mode technique is given for estimating the faults, another nonlinear observer is also treated with the purpose of comparing results. An academic example is presented and faults are estimated by each observer. Some numerical results are shown to illustrate this methodology.

show abstract

Diagnosis for a class of non-differentially flat and Liouvillian systems

Cited by 18 publications

References 0 publications

Differential Transcendency in the Theory of Linear Differential Systems with Constant Coefficients

Differential Transcendency in the Theory of Linear Differential Systems with Constant Coefficients

Fault reconstruction for nonlinear systems using sliding mode observers

Fault diagnosis by means of sliding mode techniques

Contact Info

Product

Resources

About