Stability and Finite/Fixed-Time Attractivity of Time-Delayed Filippov
System: Application to Switched Neural Networks
Abstract
This paper studies different kinds of stability and finite/fixed-time
attractivity problems for time-delayed Filippov system (TDFS) via
time-delayed differential inclusions(TDDI). A series of novel criteria
concerning basic stability and finite/fixed-time attractivity for TDFS
are established by employing indefinite Lyapunov method. As an
application, the problems of stabilization and attractivity in
finite/fixed time are explored for delayed switched neural networks
(DSNNs), where four control protocols are developed. Furthermore,
several concrete examples are given to demonstrate the effectiveness and
advantages of the main results.