TY - JOUR
T1 - Using Lyapunov's direct method for wave suppression in reactive systems
AU - Smagina, Yelena
AU - Sheintuch, Moshe
N1 - Funding Information:
M.S. acknowledges the support of the US–Israel Binational Science Foundation and the Minerva Center of Nonlinear Dynamics of Complex Physics.
PY - 2006/7
Y1 - 2006/7
N2 - This paper proposes a new approach for stabilizing a homogeneous solution in reaction-convection-diffusion system with oscillatory kinetics, in which moving or stationary patterns emerge in the absence of control. Specifically, we aim to suppress patterns by using a spatially weighted finite-dimensional feedback control that assures stability of the solution according to Lyapunov's direct method. A practical design procedure, based on spectral representation of the system and dissipative nature of parabolic PDEs, is presented.
AB - This paper proposes a new approach for stabilizing a homogeneous solution in reaction-convection-diffusion system with oscillatory kinetics, in which moving or stationary patterns emerge in the absence of control. Specifically, we aim to suppress patterns by using a spatially weighted finite-dimensional feedback control that assures stability of the solution according to Lyapunov's direct method. A practical design procedure, based on spectral representation of the system and dissipative nature of parabolic PDEs, is presented.
KW - Distributed control
KW - Lyapunov's direct method
KW - Nonlinear partial differential equations
KW - Sector nonlinearity
KW - Wave suppress
UR - http://www.scopus.com/inward/record.url?scp=33646149982&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2005.12.001
DO - 10.1016/j.sysconle.2005.12.001
M3 - 文章
AN - SCOPUS:33646149982
SN - 0167-6911
VL - 55
SP - 566
EP - 572
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 7
ER -