TY - GEN
T1 - Robust identification of uncertain nonlinear systems with state constrains by Differential Neural Networks
AU - García, Alejando
AU - Chairez, Isaac
AU - Poznyak, Alexander
AU - Poznyak, Tatyana
PY - 2009
Y1 - 2009
N2 - Non parametric identifier based on Differential Neural Networks is presented. Nonlinear systems with the a priori information about state constrains are considered. Differential Neural Network Identifier includes a projectional operator as part of its structure in order to keep the state restrictions. Stability Analysis based on Lyapunov-Krasovskii energetic-function lets proof the ultimated boundedness of error estimation. Free parameters stability of DNNI (Adaptive Weights) is also proved. Simulation examples regarding to biotechnological process and the Chua's circuit depict the main advantages of the proposed structure against reported Differential Neural Network with similar structure but without projectional operator.
AB - Non parametric identifier based on Differential Neural Networks is presented. Nonlinear systems with the a priori information about state constrains are considered. Differential Neural Network Identifier includes a projectional operator as part of its structure in order to keep the state restrictions. Stability Analysis based on Lyapunov-Krasovskii energetic-function lets proof the ultimated boundedness of error estimation. Free parameters stability of DNNI (Adaptive Weights) is also proved. Simulation examples regarding to biotechnological process and the Chua's circuit depict the main advantages of the proposed structure against reported Differential Neural Network with similar structure but without projectional operator.
UR - http://www.scopus.com/inward/record.url?scp=70449421550&partnerID=8YFLogxK
U2 - 10.1109/IJCNN.2009.5178825
DO - 10.1109/IJCNN.2009.5178825
M3 - Contribución a la conferencia
AN - SCOPUS:70449421550
SN - 9781424435531
T3 - Proceedings of the International Joint Conference on Neural Networks
SP - 917
EP - 924
BT - 2009 International Joint Conference on Neural Networks, IJCNN 2009
T2 - 2009 International Joint Conference on Neural Networks, IJCNN 2009
Y2 - 14 June 2009 through 19 June 2009
ER -