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 -