Further results on finite-time stability of neutral nonlinear multi-term fractional order time-varying delay systems

Abstract

In this paper, the finite-time stability for nonlinear neutral multi-term fractional order systems with time-varying input and state delays is investigated. By use of the generalized Gronwall inequality and extended form of the generalized Gronwall inequality, new sufficient conditions for finite-time stability of such systems are obtained. Finally, numerical examples are given to illustrate the effectiveness and applicability of the proposed theoretical results.

Stability Analysis of Delayed Neural Networks via Composite-Matrix-Based Integral Inequality

“…In the past few decades, neural networks have been successfully applied in many engineering and research fields, such as image processing, pattern recognition, optimization problems, and associative memory, and have received considerable attention [1][2][3][4][5]. In this application, the designed neural networks are required to have stability properties, including asymptotic stability and exponential stability [6,7].…”