TY - GEN
T1 - On a stabilization problem of nonlinear programming neural networks
AU - Huang, Yuan Can
AU - Yu, Chuang
AU - Zhu, Lingyun
PY - 2008
Y1 - 2008
N2 - Intrinsically, Lagrange multipliers in Nonlinear Programming Theory play a regulating role in the process of searching the optima of constrained optimization problems. Hence, they may be regarded as control input variables as those in control systems. From this new perspective, it is showed that synthesizing nonlinear programming neural networks can be formulated to solve servomechanism problems. In this paper, under the second-order sufficient assumptions of nonlinear programming problems, a dynamic output feedback control law is proposed to stabilize the corresponding nonlinear programming neural networks. Moreover, their asymptotical stability is proved by the Lyapunov First Approximation Principle.
AB - Intrinsically, Lagrange multipliers in Nonlinear Programming Theory play a regulating role in the process of searching the optima of constrained optimization problems. Hence, they may be regarded as control input variables as those in control systems. From this new perspective, it is showed that synthesizing nonlinear programming neural networks can be formulated to solve servomechanism problems. In this paper, under the second-order sufficient assumptions of nonlinear programming problems, a dynamic output feedback control law is proposed to stabilize the corresponding nonlinear programming neural networks. Moreover, their asymptotical stability is proved by the Lyapunov First Approximation Principle.
KW - Regulation
KW - Stability of NL systems
KW - Static optimization problems
UR - http://www.scopus.com/inward/record.url?scp=79961018895&partnerID=8YFLogxK
U2 - 10.3182/20080706-5-KR-1001.2082
DO - 10.3182/20080706-5-KR-1001.2082
M3 - Conference contribution
AN - SCOPUS:79961018895
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -