Robust Invariant Sets Computation for Discrete-Time Perturbed Nonlinear Systems

2021 ◽  
pp. 1-1
Author(s):  
Bai Xue ◽  
Naijun Zhan
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
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

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

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.

scholarly journals A Nearer Optimal and Faster Trained Value Iteration ADP for Discrete-Time Nonlinear Systems

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 14933-14944
Author(s):  
Junping Hu ◽  
Gen Yang ◽  
Zhicheng Hou ◽  
Gong Zhang ◽  
Wenlin Yang ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Value Iteration
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