1. //
  2. Start
  3. //
  4. Publikationen
  5. Lyapunov Convergence Analysis for Asympt...
  6. Formate
  7. //

Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Standard

Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations. / Mercorelli, Paolo.
in: International Journal of Pure and Applied Mathematics, Jahrgang 89, Nr. 5, 2013, S. 761-767.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Harvard

Mercorelli, P 2013, 'Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations', International Journal of Pure and Applied Mathematics, Jg. 89, Nr. 5, S. 761-767. https://doi.org/10.12732/ijpam.v89i5.11

APA

Mercorelli, P. (2013). Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations. International Journal of Pure and Applied Mathematics, 89(5), 761-767. https://doi.org/10.12732/ijpam.v89i5.11

Vancouver

Mercorelli P. Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations. International Journal of Pure and Applied Mathematics. 2013;89(5):761-767. doi: 10.12732/ijpam.v89i5.11

Bibtex

@article{b60ba6a23559460e962943323ea11994,
title = "Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations",
abstract = "This paper proposes an analysis of the convergence of discrete differential equations obtained by Euler approximation methods. Backward and Feed-forward Euler approximations are considered. These kinds of methods are very often used in discretisation of continuous models because of their straightforward structure which allows an easy implementation in microprocessor applications. These two kinds of discretisations are very important in the representation of controllers in which the use of a fast algorithm of its discrete representation is a basic condition for the whole stability of the closed loop control structure. ",
keywords = "Engineering, Asymptotic stability, Discrete approximations, Lyapunov functions and stability",
author = "Paolo Mercorelli",
year = "2013",
doi = "10.12732/ijpam.v89i5.11",
language = "English",
volume = "89",
pages = "761--767",
journal = "International Journal of Pure and Applied Mathematics",
issn = "1311-8080",
publisher = "Academic Publications Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations

AU - Mercorelli, Paolo

PY - 2013

Y1 - 2013

N2 - This paper proposes an analysis of the convergence of discrete differential equations obtained by Euler approximation methods. Backward and Feed-forward Euler approximations are considered. These kinds of methods are very often used in discretisation of continuous models because of their straightforward structure which allows an easy implementation in microprocessor applications. These two kinds of discretisations are very important in the representation of controllers in which the use of a fast algorithm of its discrete representation is a basic condition for the whole stability of the closed loop control structure.

AB - This paper proposes an analysis of the convergence of discrete differential equations obtained by Euler approximation methods. Backward and Feed-forward Euler approximations are considered. These kinds of methods are very often used in discretisation of continuous models because of their straightforward structure which allows an easy implementation in microprocessor applications. These two kinds of discretisations are very important in the representation of controllers in which the use of a fast algorithm of its discrete representation is a basic condition for the whole stability of the closed loop control structure.

KW - Engineering

KW - Asymptotic stability

KW - Discrete approximations

KW - Lyapunov functions and stability

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-84894554273&origin=inward&txGid=0

UR - https://www.mendeley.com/catalogue/77cfadbf-30b8-3d0c-b31f-d49784d2ce66/

U2 - 10.12732/ijpam.v89i5.11

DO - 10.12732/ijpam.v89i5.11

M3 - Journal articles

VL - 89

SP - 761

EP - 767

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 5

ER -

In der gleichen Zeitschrift

Lyapunov stability analysis to set up a PI controller for a mass flow system in case of a non-saturating input

Mercorelli, P., 11.12.2016, in: International Journal of Pure and Applied Mathematics. 111, 2, S. 281-286 6 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Lyapunov stability analysis to set up a saturating PI controller with anti-windup for a mass flow system

Mercorelli, P., 06.12.2016, in: International Journal of Pure and Applied Mathematics. 111, 1, S. 121-128 8 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Reducing the peaking phenomenon in Luenberger observers in presence of quasi-static disturbances for linear time invariant systems

Mercorelli, P., 01.10.2016, in: International Journal of Pure and Applied Mathematics. 107, 4, S. 965-970 6 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

A luenberger observer for a quasi-static disturbance estimation in linear time invariant systems

Mercorelli, P., 15.12.2015, in: International Journal of Pure and Applied Mathematics. 105, 3, S. 543-547 5 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

A lyapunov approach in the derivative approximation using a dynamic system

Mercorelli, P., 15.12.2015, in: International Journal of Pure and Applied Mathematics. 105, 3, S. 523-528 6 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Weitere Publikationen dieser Person(en)

An Over-Actuated Hexacopter Tilt-Rotor UAV Prototype for Agriculture of Precision: Modeling and Control

Pimentel, G. O., Santos, M. F. D., Lima, J., Mercorelli, P. & Fernandes, F. M., 15.01.2025, in: Sensors. 25, 2, 27 S., 479.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Automatic Tuning of Extended Kalman Filter in Synchronous Reluctance Motor Drives with a Master-Slave Configuration

Rigon, S., Haus, B., Mercorelli, P. & Zigliotto, M., 27.02.2025, (Elektronische Veröffentlichung vor Drucklegung) in: IEEE Open Journal of Power Electronics. 14 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Dynamic Performance Analysis and Fault Ride-Through Enhancement by a Modified Fault Current Protection Scheme of a Grid-Connected Doubly Fed Induction Generator

Talani, R. A., Kaloi, G. S., Ali, A., Bijarani, M. A., Abbas, G., Hatatah, M., Mercorelli, P. & Touti, E., 02.2025, in: Machines. 13, 2, 20 S., 110.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Inner loop model predictive control and outer loop PI reference governor for PMSMs with input and state saturation for torque control

Zwerger, T. & Mercorelli, P., 01.02.2025, in: Mathematics and Computers in Simulation. 228, S. 178-201 24 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Neural Network-Based Finite-Time Control for Stochastic Nonlinear Systems with Input Dead-Zone and Saturation

Kharrat, M., Krichen, M., Alhazmi, H. & Mercorelli, P., 11.01.2025, in: Arabian Journal for Science and Engineering. 11 S.

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet

Links

DOI

Zuletzt angesehen

Projekte

  1. Kooperative Lösungsansätze zur nachhaltigen Verminderung der Belastung von Oberflächengewässern mit Veterinärarzneimitteln im Einzugsgebiet der Talsperre Haltern
  2. Sozio-ökonomische Analyse von Pflegemaßnahmen zur Erhaltung von Offenlandschaften unter besonderer Berücksichtigung der Wirtschaftlichkeit und sozialen Akzeptanz
  3. Gezielte Einstellung gradierter Eigenschaften unter Nutzung der in-situ Hybridisierung zur Herstellung eigenschaftsoptimierter, thermoplastbasierter Faser-Metall Laminate
  4. Thermische Untergrundspeicher in Energiesystemen: Optimierung der Einbindung der Aquiferspeicher in die Wärme- und Kälteversorgung der Parlamentsbauten im Berliner Spreebogen
  5. Erforschung von Gelingensfaktoren für die Unterstützung von Kindertageseinrichtungen im Bereich Familienbildung, -beratung, -unterstützung am Beispiel des Modellprojektes „Piazza“
  6. Politische Diskurse über die Unternehmensbesteuerung in Deutschland. Eine vergleichende Netzwerkanalyse von Presseberichten und Parlamentsanhörungen zur Steuergesetzgebung seit 1965.

Aktivitäten

  1. Keynote speech entitled: "A Stabilizing Control Strategy for a Bank System using State Space and Sliding Mode Control Approach with an Extended Kalman Filter"
  2. Talk together with Benedikt Haus at the Regelungstechnisches Kolloquium in Boppard. Talk entitled: “Kalman Filter in der Anwendung”. March 4-6, 2020, Boppard, (Germany).
  3. Jahrestagung der Kommission Pädagogische Anthropologie der Sektion Allgemeine Erziehungswissenschaft der Deutschen Gesellschaft für Erziehungswissenschaft 2012
  4. Jahrestagung der Sektion Interkulturelle und International Vergleichende Erziehungswissenschaft der Deutschen Gesellschaft für Erziehungswissenschaft - DGfE 2015
  5. "Is your slam based on facts, or on gags and slapstick?”– How problems of contemporary science communication concepts become visible in new public genres like the science slam
  6. 4th Symposium on Sensorless Control for Electrical Drives & 2nd Symposium on Predictive Control of Electrical Drives and Power Electronics - SLED PROCEDE 2013 Joint Conference
  7. Plenary Speaker at the 2021 8th International Conference on Computing and Communication Technologies (WCCCT 2021) with a talk entitled: „A Real Application of Fuzzy Based Control Strategy for a Nonholonomic Car-Like Robot„, January 23-25, Dalian, China.

Publikationen

  1. The influence of sustainability knowledge and attitude on sustainable intention and behaviour of Malaysian and Indonesian undergraduate students
  2. Erleichtert Öffentlichkeitsbeteiligung die Umsetzung (umwelt-)politischer Maßnahmen? Ein Modellansatz zur Erklärung der Implementationseffektivität
  3. Förderung von Diagnose- und Interventionskompetenzen mithilfe von Praxisbezügen – Konzeption eines Seminars für die erste Phase der Lehrkräfteausbildung
  4. Lesestrategien zur Unterstützung des Verstehens von Textaufgaben. Vermittlung und Routinen im Mathematikunterricht aus Sicht von Lehrkräften und Lernenden
  5. Competence models for assessing individual learning outcomes and evaluating educational processes - a priority program of the German research foundation (DFG)
  6. Use of Machine-Learning Algorithms Based on Text, Audio and Video Data in the Prediction of Anxiety and Post-Traumatic Stress in General and Clinical Populations
  7. Korngrößenabhängigkeit der Verteilung ausgesuchter schwerflüchtiger organischer Substanzen in Flusssedimenten und Schlussfolgerungen für die Sedimentanalytik
  8. Effects of Soil Properties, Temperature and Disturbance on Diversity and Functional Composition of Plant Communities Along a Steep Elevational Gradient on Tenerife
  9. Reduced nitrate leaching from an Irish cropland soil under non-inversion tillage with cover cropping greatly outweighs increased dissolved organic nitrogen leaching
  10. Berechnung von Eisengehalten und Verockerungspotential von Schluckbrunnen mithilfe von Temperatur-, Redoxpotential-, pH-Wert-, Leitfähigkeits- und Sauerstoffsättigungsdaten
  11. Stenotypy and eurytopy - Distribution models as a tool for estimating niche overlap in two spider species, Trochosa terricola and Eresus kollari (Araneae: Lycosidae/Eresidae).
  12. Die Jahrgangsmischung auf dem Prüfstand: Effekte jahrgangsübergreifenden Lernens auf Kompetenzen und sozio-emotionales Wohlbefinden von Grundschülerinnen und Grundschülern
  13. Determination of the construction and the material identity values of outside building components with the help of in-situ measuring procedures and FEM-simulation calculations
  14. The Role of Linked Social-Ecological Systems in a Mobile Agent-Based Ecosystem Service from Giant Honey Bees (Apis dorsata) in an Indigenous Community Forest in Palawan, Philippines
  15. Neanderthals in changing environments from MIS 5 to early MIS 4 in northern Central Europe – Integrating archaeological, (chrono)stratigraphic and paleoenvironmental evidence at the site of Lichtenberg