TY - JOUR
T1 - A nonlinear synchronization scheme for hindmarsh-rose models
AU - Kim, Jung Su
AU - Allgower, Frank
PY - 2010/3
Y1 - 2010/3
N2 - Multiple subsystems are required to behave synchronously or cooperatively in many areas. For example, synchronous behaviors are common in networks of (electro-) mechanical systems, cell biology, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchro-nization between Hindmarsh-Rose models which have polynomial vector fields. We show that the problem is equivalent to finding an asymptotically stabilizing control for error dynamics which is also a polynomial system. Then, an extension to a nonlinear observer-based scheme is presented, which re-duces the amount of information exchange between models.
AB - Multiple subsystems are required to behave synchronously or cooperatively in many areas. For example, synchronous behaviors are common in networks of (electro-) mechanical systems, cell biology, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchro-nization between Hindmarsh-Rose models which have polynomial vector fields. We show that the problem is equivalent to finding an asymptotically stabilizing control for error dynamics which is also a polynomial system. Then, an extension to a nonlinear observer-based scheme is presented, which re-duces the amount of information exchange between models.
KW - Nonlinear observer and control
KW - Polynomial systems
KW - Synchronization
UR - http://www.scopus.com/inward/record.url?scp=77949360535&partnerID=8YFLogxK
U2 - 10.5370/JEET.2010.5.1.163
DO - 10.5370/JEET.2010.5.1.163
M3 - Article
AN - SCOPUS:77949360535
SN - 1975-0102
VL - 5
SP - 163
EP - 170
JO - Journal of Electrical Engineering and Technology
JF - Journal of Electrical Engineering and Technology
IS - 1
ER -