Introduction, Concepts and Preliminaries

[1]  Jun Wang,et al.  A recurrent neural network for solving Sylvester equation with time-varying coefficients , 2002, IEEE Trans. Neural Networks.

[2]  P. Kokotovic,et al.  Nonlinear control via approximate input-output linearization: the ball and beam example , 1992 .

[3]  Ke Chen,et al.  Cyclic motion generation of multi-link planar robot performing square end-effector trajectory analyzed via gradient-descent and Zhang et al’s neural-dynamic methods , 2008, 2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics.

[4]  Frank L. Lewis,et al.  Optimal Control: Lewis/Optimal Control 3e , 2012 .

[5]  Bolin Liao,et al.  Control of pendulum tracking (including swinging up) of IPC system using zeroing-gradient method , 2017 .

[6]  Ren Jing-ya Framework and Outlook of ZG Control Method for Multiple-Input and Multiple-Output Nonlinear Systems , 2014 .

[7]  Yunong Zhang,et al.  Zhang Neural Networks and Neural-Dynamic Method , 2011 .

[8]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[9]  Yunong Zhang,et al.  Zhang Neural Network Versus Gradient Neural Network for Solving Time-Varying Linear Inequalities , 2011, IEEE Transactions on Neural Networks.

[10]  Sergio M. Savaresi,et al.  Approximate linearization via feedback - an overview , 2001, Autom..

[11]  Yunong Zhang,et al.  Comparison on Gradient-Based Neural Dynamics and Zhang Neural Dynamics for Online Solution of Nonlinear Equations , 2008, ISICA.

[12]  Chitralekha Mahanta,et al.  Integral backstepping sliding mode control for underactuated systems: swing-up and stabilization of the Cart-Pendulum System. , 2013, ISA transactions.

[13]  Dongsheng Guo,et al.  Zhang-gradient tracking controllers of Z1G0 and Z1G1 types for time-invariant linear systems , 2012, Proceedings of 2012 2nd International Conference on Computer Science and Network Technology.

[14]  Long Jin,et al.  Continuous and discrete Zhang dynamics for real-time varying nonlinear optimization , 2015, Numerical Algorithms.

[15]  Long Jin,et al.  Tracking control of modified Lorenz nonlinear system using ZG neural dynamics with additive input or mixed inputs , 2016, Neurocomputing.

[16]  Yunong Zhang,et al.  Zeroing Dynamics, Gradient Dynamics, and Newton Iterations , 2015 .

[17]  Daniel Honc,et al.  Inverted Pendulum Optimal Control Based on First Principle Model , 2016, CSOC.

[18]  Yunong Zhang,et al.  Controller design of nonlinear system for fully trackable and partially trackable paths by combining ZD and GD , 2013, 2013 25th Chinese Control and Decision Conference (CCDC).

[19]  Xinmin Liu,et al.  On the backstepping design procedure for multiple input nonlinear systems , 2012 .

[20]  Ke Chen,et al.  Performance Analysis of Gradient Neural Network Exploited for Online Time-Varying Matrix Inversion , 2009, IEEE Transactions on Automatic Control.

[21]  A. Isidori Nonlinear Control Systems: An Introduction , 1986 .

[22]  S. Shankar Sastry,et al.  Switching through singularities , 1998 .

[23]  Yunong Zhang,et al.  Using GD to conquer the singularity problem of conventional controller for output tracking of nonlinear system of a class , 2013 .

[24]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[25]  Yunong Zhang,et al.  Zhang Functions and Various Models , 2015 .

[26]  Zhen Li,et al.  Z-type and G-type models for time-varying inverse square root (TVISR) solving , 2013, Soft Comput..

[27]  Long Jin,et al.  GD-aided IOL (input–output linearisation) controller for handling affine-form nonlinear system with loose condition on relative degree , 2016, Int. J. Control.

[28]  Yunong Zhang,et al.  Performance analysis of gradient neural network exploited for online time-varying quadratic minimization and equality-constrained quadratic programming , 2011, Neurocomputing.