New Robust Exponential Stability Criteria for Neutral System With Mixed Constant Delays

Abstract

In this paper, we propose new sufficient conditions guaranteeing exponential stability of linear neutral systems with mixed constant delays. With a change of variable and bounded techniques along with constructed Lyapunov-Krasovskii functionals, the sufficient conditions are formulated without adding free matrices used. Three numerical examples are given to show effectiveness of the proposed criteria by comparing upper bounds of the time-delays and rate of convergence with some recent works.

Robust Exponential Stability of Linear Neutral System With Constant Neutral and Time-Varying Discrete Delays

“…In the past decades, the stability of neutral system has received a considerable Received: July 9, 2013 c 2013 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author amount of attention from researchers ( [1], [3], [4], [5], [8], [10], [11], [13], [14], [15], [16], [17], [18], [19], [20], [21] and the reference therein). Because the neutral has time-delays in both the state and its derivative (so-called discrete and neutral delays), it can be used to describe various practical applications in sciences and engineering such as aircraft stabilization, lossless transmission lines, population ecology, chemical processes, etc [1], [2].…”

“…For more realistic, systems sometimes be disturbed by a small amount of uncertainties. Thus the problem of robust stability analysis has been widely investigated in [1], [2], [3], [4], [5], [8], [9], [10], [11], [12], [13], [15], [16], [17], [19], [21].…”

“…However, there are some need of fast speed of convergence in many applications. The exponential stability which offers faster speed of convergence than asymptotic stability has been focused by many researchers such as [1], [2], [4], [9], [17].…”