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Title:

Generalization of an input-to-state stability preserving Runge–Kutta method for nonlinear control systems

Document type:
Zeitschriftenaufsatz
Author(s):
Deflorian, M.; Rungger, M.
Abstract:
Given a nonlinear control system that is input-to-state stable (ISS) it is assured that the states of the system remain bounded if the input is bounded and the system is global asymptotic stable (GAS) in the sense of Lyapunov in the absence of inputs. Recently, Hu and Liu (2007) [7] studied under which condition ISS of a continuous time nonlinear control system implies ISS of the discrete time system obtained by an implicit Runge–Kutta (RK) method. In this contribution, we extend those results t...     »
Journal title:
Journal of Computational and Applied Mathematics
Year:
2014
Journal volume:
255
Year / month:
2014-01
Month:
Jan
Pages contribution:
346--352
Covered by:
Scopus; Web of Science
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1016/j.cam.2013.05.017
Status:
Erstveröffentlichung
Submitted:
01.09.2011
TUM Institution:
Lehrstuhl für Regelungstechnik
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