TY - JOUR
T1 - On recovering the parameters and velocity state of the Duffing's oscillator
AU - Suárez-Castañón, Miguel S.
AU - Aguilar-Ibáñez, Carlos
AU - Barrón-Fernández, Ricardo
N1 - Funding Information:
This research was supported by CIC-IPN, and by the Coordinación de Posgrado e Investigación (CGPI del IPN), under Research Grant 20020247. Miguel S. Suárez-Castañón is a scholarship holder of the CONACYT, and he wants to thank for this support.
PY - 2003/2/17
Y1 - 2003/2/17
N2 - In this Letter, we propose a simple method to recover the unknown parameters and the velocity state from a known suitable output which is the position of the Duffing mechanical oscillator. We show that the system is constructible. Hence, it allows us to obtain an integral output parametrization of the remaining state. Based on this integral parametrization, we construct an iterative integral equation of the output. This method is numerically feasible and easy to implement by means of integrators, avoiding the necessity to evaluate the derivatives of the output.
AB - In this Letter, we propose a simple method to recover the unknown parameters and the velocity state from a known suitable output which is the position of the Duffing mechanical oscillator. We show that the system is constructible. Hence, it allows us to obtain an integral output parametrization of the remaining state. Based on this integral parametrization, we construct an iterative integral equation of the output. This method is numerically feasible and easy to implement by means of integrators, avoiding the necessity to evaluate the derivatives of the output.
KW - Chaos
KW - Mechanical oscillator
KW - Reconstruction
UR - http://www.scopus.com/inward/record.url?scp=0037450604&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(02)01730-9
DO - 10.1016/S0375-9601(02)01730-9
M3 - Artículo
SN - 0375-9601
VL - 308
SP - 47
EP - 53
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -