Title :
Further Result on Input-to-State Stabilization of Dynamic Neural Network Systems
Author :
Liu, Ziqian ; Wang, Qunjing
Author_Institution :
Ingersoll-Rand Co. Ltd, Hamilton
Abstract :
This paper presents an approach for input-to- state stabilization of dynamic neural networks, which extends the existing result in the literature to a wider class of systems. With the help of Sontag´s formula, we create a scalar function to develop a new methodology for input-to-state stabilization of a class of dynamic neural network systems without a restriction on the number of inputs. In addition, the proposed design achieves global asymptotic stability and global inverse optimality with respect to a meaningful cost functional. A numerical example demonstrates the performance of the approach.
Keywords :
asymptotic stability; neurocontrollers; optimal control; dynamic neural network system; global asymptotic stability; global inverse optimality; input-to-state stabilization; scalar function; Asymptotic stability; Cities and towns; Control systems; Cost function; Cybernetics; Differential equations; Neural networks; Nonlinear dynamical systems; Nonlinear systems; Optimal control; Dynamic neural network systems; Global stabilization; Inverse optimality; Lyapunov technique;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282260