Lyapunov Convergence Analysis for Asymptotic Tracking Using Forward and Backward Euler Approximation of Discrete Differential Equations
Research output: Journal contributions › Journal articles › Research › peer-review
Standard
In: International Journal of Pure and Applied Mathematics, Vol. 89, No. 5, 2013, p. 761-767.
Research output: Journal contributions › Journal articles › Research › peer-review
Harvard
APA
Vancouver
Bibtex
}
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 -