An inversion formula for a Prandtl-Ishlinskii operator with time dependent thresholds

0359278 - MÚ 2012 RIV NL eng J - Journal Article
Al Janaideh, M. - Krejčí, Pavel
An inversion formula for a Prandtl-Ishlinskii operator with time dependent thresholds.
Physica B-Condensed Matter. Roč. 406, č. 8 (2011), s. 1528-1532. ISSN 0921-4526. E-ISSN 1873-2135
R&D Projects: GA ČR GAP201/10/2315
Institutional research plan: CEZ:AV0Z10190503
Keywords : hysteresis * Prandtl-Ishlinskii operator * inversion formula * time dependent thresholds
Subject RIV: BA - General Mathematics
Impact factor: 1.063, year: 2011
http://www.sciencedirect.com/science/article/pii/S0921452611001001

We extend the well-known inversion result for Prandtl-Ishlinskii operators to the case of time dependent thresholds. The exact inversion formula is shown to hold under the condition that the distances between the thresholds do not decrease in time. Examples show that this threshold dilation condition cannot be completely omitted.
Permanent Link: http://hdl.handle.net/11104/0197089