Neural Network-based Adaptive State-feedback Control for High-order Stochastic Nonlinear Systems

Sanner, 1992, Gaussian networks for direct adaptive control, IEEE Transactions on Neural Networks, 3, 837, 10.1109/72.165588 Wang, 2013, Adaptive neural network output feedback control of stochastic nonlinear systems with dynamical uncertainties, Neural Computing and Applications, 23, 1481, 10.1007/s00521-012-1099-7 Hsu, 2014, Adaptive backstepping Elman-based neural control for unknown nonlinear systems, Neurocomputing, 136, 170, 10.1016/j.neucom.2014.01.015 Gao, 2014, Adaptive neural control of stochastic nonlinear systems with unmodeled dynamics and time-varying state delays, Journal of the Franklin Institute, 351, 3182, 10.1016/j.jfranklin.2014.02.013 Psillakis, 2007, NN-based adaptive tracking control of uncertain nonlinear systems disturbed by unknown covariance noise, IEEE Transactions on Neural Networks, 18, 1830, 10.1109/TNN.2007.901274 Krstić, 1998 Mao, 2007 Deng, 1999, Output-feedback stochastic nonlinear stabilization, IEEE Transactions on Automatic Control, 44, 328, 10.1109/9.746260 Zhou, 2013, Observer-based adaptive neural network control for nonlinear stochastic systems with time-delay, IEEE Transactions on Neural Networks and Learning Systems, 24, 71, 10.1109/TNNLS.2012.2223824 Lin, 2000, Adding one power integrator: a tool for global stabilization of high-order lower triangular systems, Systems and Control Letters, 39, 339, 10.1016/S0167-6911(99)00115-2 Sun, 2012, Global adaptive stabilization of high-order nonlinear systems with zero dynamics, Acta Automatica Sinica, 38, 1025, 10.1016/S1874-1029(11)60303-0 Xie, 2007, State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics, International Journal of Robust and Nonlinear Control, 17, 1343, 10.1002/rnc.1177 Xie, 2013, A homogeneous domination approach to state feedback of stochastic high-order nonlinear systems with time-varying delay, IEEE Transactions on Automatic Control, 58, 494, 10.1109/TAC.2012.2208297 Xie, 2010, Output tracking of high-order stochastic nonlinear systems with application to benchmark mechanical system, IEEE Transactions on Automatic Control, 55, 1197, 10.1109/TAC.2010.2043004