Improved exponential estimates for neutral systems

Abstract

Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time‐delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov‐Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

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

“…One can easily obtain an exponential stability criterion of the linear neutral (15) as in the following corollary.…”

“…Results are shown in Table 3. One can clearly see that our criterion (16) allows faster convergence rate than the condition given in [15] for all cases. Example 3.…”

“…Here ||C|| = 0.325 < 1. In case of h and τ are varied, we compare the rates of convergence with [15] for different values of h and τ . Results are shown in Table 3.…”

“…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).…”

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations

“…Asymptotic stability and boundedness have been two of most popular topics in the study of SFDEs and there is an extensive literature in these areas (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980), Mao (1995) Mao (1997), Mao (2007), Rodkina and Basin (2007), Shu et al (2009), Yang et al (2009), Yuan and Lygeros (2005) and Yuan and Lygeros (2006)).…”