Probabilistic ultimate bounds and invariant sets in nonlinear systems

10.1016/j.automatica.2021.109853 ◽

2021 ◽

Vol 133 ◽

pp. 109853

Author(s):

Noelia Pizzi ◽

Ernesto Kofman ◽

Damián Edgardo Marelli ◽

José Adrian De Doná ◽

Maria M. Seron

Keyword(s):

Nonlinear Systems ◽

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On the computation of invariant sets for constrained nonlinear systems: An interval arithmetic approach

10.1016/j.automatica.2005.04.015 ◽

2005 ◽

Vol 41 (9) ◽

pp. 1583-1589 ◽

Author(s):

J.M. Bravo ◽

D. Limon ◽

T. Alamo ◽

E.F. Camacho

Keyword(s):

Nonlinear Systems ◽

Interval Arithmetic ◽

Invariant Sets ◽

Constrained Nonlinear Systems

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An algorithm for computing robust forward invariant sets of two dimensional nonlinear systems

Asian Journal of Control ◽

10.1002/asjc.2360 ◽

2020 ◽

Author(s):

Shayok Mukhopadhyay ◽

Fumin Zhang

Keyword(s):

Nonlinear Systems ◽

Invariant Sets ◽

Two Dimensional

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Convex analysis of invariant sets for a class of nonlinear systems

Proceedings of the 2004 American Control Conference ◽

10.23919/acc.2004.1383641 ◽

2004 ◽

Author(s):

Tingshu Hu ◽

Zongli Lin

Keyword(s):

Nonlinear Systems ◽

Convex Analysis ◽

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The notion of V-detectability and stabilization of invariant sets of nonlinear systems

Systems & Control Letters ◽

10.1016/s0167-6911(99)00112-7 ◽

2000 ◽

Vol 39 (5) ◽

pp. 327-338 ◽

Author(s):

A.S. Shiriaev

Keyword(s):

Nonlinear Systems ◽

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Stabilization of Invariant Sets in Nonlinear Systems: Chetaev's Bundles and Speed-Gradient

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)35545-3 ◽

2000 ◽

Vol 33 (2) ◽

pp. 45-50

Author(s):

Anton Shiriaev ◽

Alexander Fradkov

Keyword(s):

Nonlinear Systems ◽

Invariant Sets ◽

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On invariant sets and closed-loop boundedness of Lure-type nonlinear systems by LPV-embedding

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.3354 ◽

2015 ◽

Vol 26 (5) ◽

pp. 1092-1111 ◽

Author(s):

Maria M. Seron ◽

José A. De Doná

Keyword(s):

Nonlinear Systems ◽

Closed Loop ◽

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On maximal robust positively invariant sets in constrained nonlinear systems

10.1016/j.automatica.2020.109044 ◽

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

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Stabilization of invariant sets for nonlinear systems with applications to control of oscillations

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.568 ◽

2001 ◽

Vol 11 (3) ◽

pp. 215-240 ◽

Author(s):

Anton S. Shiriaev ◽

Alexander L. Fradkov

Keyword(s):

Nonlinear Systems ◽

Invariant Sets ◽

Control Of Oscillations

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Computing maximal invariant sets for switched nonlinear systems

2016 IEEE Conference on Computer Aided Control System Design (CACSD) ◽

10.1109/cacsd.2016.7602547 ◽

2016 ◽

Author(s):

Yinan Li ◽

Jun Liu

Keyword(s):

Nonlinear Systems ◽

Invariant Sets ◽

Switched Nonlinear Systems ◽

Maximal Invariant

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Localization of compact invariant sets for continuous-time nonlinear systems with uncertainties

10.1063/1.4992723 ◽

2017 ◽

Author(s):

A. N. Kanatnikov ◽

A. P. Krishchenko

Keyword(s):

Nonlinear Systems ◽

Continuous Time ◽

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