Title :
On positive invariance for delay difference equations
Author :
Lombardi, W. ; Olaru, S. ; Lazar, M. ; Niculescu, S.-I.
Author_Institution :
Autom. Control Dept., INRIA, Gif-sur-Yvette, France
fDate :
June 29 2011-July 1 2011
Abstract :
In this paper a new concept of set invariance, called D-invariance, is introduced for dynamical systems described by delay difference equations. We will be interested in the definition and computation of such invariant sets in a specified bounded region of the state-space. The Minkowski algebra will be used to define mappings over the set of compact sets in direct relationship with the invariance of time-delay systems. Set-iterates based on these mappings can be used for the construction of a non-decreasing sequence of D-invariant sets.
Keywords :
algebra; delay-differential systems; difference equations; invariance; set theory; D-invariant set; Minkowski algebra; delay difference equation; dynamical system; positive invariance; set invariance; time-delay system; Algebra; Approximation algorithms; Approximation methods; Delay; Difference equations; Heuristic algorithms; Stability analysis;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5991538
