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Stability Analysis of Linear Shift‐Invariant Dynamics in Honeycomb Structure
Author(s) -
Ooba Tatsushi,
Funahashi Yasuyuki
Publication year - 2002
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2002.tb00363.x
Subject(s) - honeycomb , invariant (physics) , honeycomb structure , lti system theory , structural stability , stability (learning theory) , mathematics , mathematical analysis , linear system , topology (electrical circuits) , statistical physics , computer science , physics , geometry , engineering , structural engineering , combinatorics , mathematical physics , aerospace engineering , machine learning
This paper deals with the stability of linear shift‐invariant multidimensional dynamical systems defined on honeycomb structure. Two different honeycomb structures are discussed. The local dynamical states are assumed to be distributed to honeycomb cells in the first consideration, and they are assumed to be distributed to the nodes of honeycomb mesh in the second consideration. In each honeycomb structure, the fundamental linear shift‐invariant dynamics is introduced and then the stability criterion is presented.