On robust α-stability analysis of uncertain neutral systems with time varying delays: A novel augmented Lyapunov functional approach

Delay-dependent stability criteria for neutral systems with a varying delay

“…In order to show the effectiveness of the proposed methods, in this section, numerical examples are considered. Example1: Let consider the nominal neutral system (1) with the following parameters 0.9 0 1.1 0.2 , 0.1 0.9 0.1 0.9 [12] 1.3718 [13] 1.8266 [2] 2.0190 In table 2, the results of the Maximum delay allowed for guaranteeing stability are compared with the previous results. It can be shown that the proposed stability criterion for this system gives larger upper bound of time delay.…”

“…Since the existence of time-delays may be a source of oscillation, instability or/and bad system performance, so considerable attention has been devoted to the stability of systems with time delays. In the literature, Lyapunov-Razumikhin functional and Lyapunov-Krasovskii functional are widely used approaches for analyses of time-delay systems to obtain a delayindependent or a delay-dependent stability condition [1][2][3]. As for delay-dependent stability, many methods have been taken for deriving stability criteria.…”

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

“…Neutral system is one of the important system and has received much attention to researchers since it can be used to describe practical applications in sciences Received: April 30, 2013 c 2013 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author and engineering such as aircraft stabilization, lossless transmission lines, population ecology, chemical processes, etc [1], [2]. Unlike other systems, the neutral has time-delay in both the state and derivative called discrete and neutral delays, respectively.…”

“…It is well-known that time-delay in the system often be a source of instability or poor system performance. Thus researchers have investigated such systems with time-delay by proposing sufficient criteria for the systems to be stable (see for examples [1], [2], [3], [4], [5], [8], [9], [12], [13], [10], [14], [15], [16], [17] and the reference therein).…”

“…Thus systems with some uncertainties are common modeled for practical uses. Thus the problem of robust stability analysis has been widely investigated [1], [2], [3], [4], [8], [9], [10], [11], [12], [14], [16].…”