On asymmetric periodic solutions in relay feedback systems

2021 ◽  
Vol 358 (1) ◽  
pp. 363-383
Author(s):  
I.M. Boiko ◽  
N.V. Kuznetsov ◽  
R.N. Mokaev ◽  
E.D. Akimova
Keyword(s):  
Periodic Solutions ◽  
Feedback Systems ◽  
Relay Feedback

scholarly journals ON THE ROBUSTNESS OF PERIODIC SOLUTIONS IN RELAY FEEDBACK SYSTEMS

2002 ◽  
Vol 35 (1) ◽  
pp. 191-196 ◽  
Author(s):  
Mario di Bernardo ◽  
Karl Henrik Johansson ◽  
Ulf Jönsson ◽  
Francesco Vasca
Keyword(s):  
Periodic Solutions ◽  
Feedback Systems ◽  
Relay Feedback

scholarly journals SELF-OSCILLATIONS AND SLIDING IN RELAY FEEDBACK SYSTEMS: SYMMETRY AND BIFURCATIONS

2001 ◽  
Vol 11 (04) ◽  
pp. 1121-1140 ◽  
Author(s):  
MARIO DI BERNARDO ◽  
KARL HENRIK JOHANSSON ◽  
FRANCESCO VASCA
Keyword(s):  
Dynamical Systems ◽  
Periodic Solutions ◽  
Bifurcation Analysis ◽  
Feedback System ◽  
Feedback Systems ◽  
Relay Feedback ◽  
Linear Dynamical Systems ◽  
Local Bifurcations

This paper is concerned with the bifurcation analysis of linear dynamical systems with relay feedback. The emphasis is on the bifurcations of the system periodic solutions and their symmetry. It is shown that, despite what has been conjectured in the literature, a symmetric and unforced relay feedback system can exhibit asymmetric periodic solutions. Moreover, the occurrence of periodic solutions characterized by one or more sections lying within the system discontinuity set is outlined. The mechanisms underlying their formation are carefully studied and shown to be due to an interesting, novel class of local bifurcations.

Bifurcations and Symmetry in Relay Feedback Systems

2000 ◽  
Author(s):  
Mario di Bernardo ◽  
Karl Henrik Johansson ◽  
Francesco Vasca
Keyword(s):  
Feedback Systems ◽  
Relay Feedback

On uniqueness of solutions to relay feedback systems

Automatica ◽  
2002 ◽  
Vol 38 (1) ◽  
pp. 177-180 ◽  
Author(s):  
Chong Lin ◽  
Qing-Guo Wang
Keyword(s):  
Feedback Systems ◽  
Relay Feedback ◽  
Uniqueness Of Solutions

Closed trajectories in planar relay feedback systems

2002 ◽  
Vol 17 (4) ◽  
pp. 343-358 ◽  
Author(s):  
Fotios Giannakopoulos ◽  
Karin Pliete
Keyword(s):  
Feedback Systems ◽  
Relay Feedback
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