On Robustly Positively Invariant Sets and Coordinate Transformations for Discrete-time Nonlinear Systems: a Tutorial

2019 ◽  
Author(s):  
Arvo Kaldmae ◽  
Jose De Dona
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Invariant Sets ◽  
Coordinate Transformations ◽  
Positively Invariant Sets

Maximal compact positively invariant sets of discrete-time nonlinear systems

2011 ◽  
Vol 44 (1) ◽  
pp. 12521-12525
Author(s):  
Alexander P. Krishchenko ◽  
Anatoly N. Kanatnikov
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Invariant Sets ◽  
Positively Invariant Sets

scholarly journals On maximal robust positively invariant sets in constrained nonlinear systems

Automatica ◽  
2020 ◽  
Vol 119 ◽  
pp. 109044
Author(s):  
Willem Esterhuizen ◽  
Tim Aschenbruck ◽  
Stefan Streif
Keyword(s):  
Nonlinear Systems ◽  
Invariant Sets ◽  
Constrained Nonlinear Systems ◽  
Positively Invariant Sets

scholarly journals Computing invariant sets of discrete-time nonlinear systems via state immersion

2020 ◽  
Vol 53 (2) ◽  
pp. 5505-5510
Author(s):  
Zheming Wang ◽  
Raphaël M. Jungers ◽  
Chong-Jin Ong
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Invariant Sets

LOCALIZATION OF COMPACT INVARIANT SETS OF DISCRETE-TIME NONLINEAR SYSTEMS

2011 ◽  
Vol 21 (07) ◽  
pp. 2057-2065 ◽  
Author(s):  
ANATOLY N. KANATNIKOV ◽  
ALEXANDER P. KRISHCHENKO
Keyword(s):  
Nonlinear Systems ◽  
Iterative Algorithm ◽  
Discrete Time ◽  
Invariant Sets ◽  
Localization Problem ◽  
Extremum Condition

In this paper, we examine the localization problem of compact invariant sets of discrete-time nonlinear systems. The localization procedure consists in applying the iterative algorithm based on the extremum condition. An analysis of a location of compact invariant sets of the Henon system is realized for all values of its parameters.

Robust positively invariant sets of discrete-time convex polyhedral system family

1999 ◽  
Vol 44 (19) ◽  
pp. 1760-1763 ◽  
Author(s):  
Weihua Jiang ◽  
Lin Huang ◽  
Tianguang Chu
Keyword(s):  
Discrete Time ◽  
Invariant Sets ◽  
Convex Polyhedral ◽  
Positively Invariant Sets
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