title: A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks.
abstract: This paper is concerned with the optimal finite-time stabilization problem for nonlinear systems. For the given stabilization strength, a new switching protocol is designed to stabilize the system with a fast speed. The obtained protocol covers both continuous control and discontinuous one under the framework of Filippov solutions. Some criteria are discussed in detail on how to choose an optimal protocol such that the finite stabilization time can be shortened. Finally, the main theory results are applied to the general neural networks by one numerical example to illustrate the effectiveness of the proposed design method.
authors: School of Computer Science & Technology, Jiangsu Normal University, Xuzhou 221116, China; Department of Mathematics, City University of Hong Kong, Hong Kong. Electronic address: liuxiaoyang1979@gmail.com.
authors: Xiaoyang
authors: X
authors: Liu
authors: Department of Mathematics, City University of Hong Kong, Hong Kong; School of Automation, Nanjing University of Science & Technology, Nanjing 210096, China.
authors: Daniel W C
authors: DW
authors: Ho
authors: Department of Mathematics, Southeast University, Nanjing 210096, China; Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
authors: Wenwu
authors: W
authors: Yu
authors: Department of Mathematics, Southeast University, Nanjing 210096, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
authors: Jinde
authors: J
authors: Cao
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D013995:Time
keywords: Finite-time stabilization; Neural networks; Switching scheme