Augmented Lyapunov functional and delay‐dependent stability criteria for neutral systems

By Yong He, Qing‐Guo Wang, Chong Lin, Min Wu. 2005

294 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b900164f8d6362f4747194a2883a15e782d037d2

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In Computational Theory and Mathematics

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Less conservative results on stability for linear systems with a time‐varying delay (2013, methodology): “In [18], an augmented LKF was established to improve the stability criteria for neutral systems with delay.”
A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks (2014, methodology): “At present, by combining the delay decomposition approach with the augmented Lyapunov–Krasovskii functions [96], [134], [135], [297], some new stability results for delayed neural networks have been published, and the conservativeness of the stability results is decreased at the expense of more…”
Overview of recent advances in stability of linear systems with time‐varying delays (2019, background): “For example, in [77, 78], the first two terms xT(t)Px(t)”
Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays (2010, unknown): “Therefore, the method proposed in this paper may involve much less decision variables than the well-known free-weighting matrices method (He et al., 2005, 2007, 2004) if the same Lyapunov functional is chosen. For example, the decision variables of Theorem 2 involved using ourmethod is 18n2+8n. If u”
Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay (2007, background): “Remark 3: Theorem 2 is equivalent to Theorem 1 according to the same demonstration in [21].”
Delay‐dependent stability and stabilization of neutral time‐delay systems (2009, methodology): “An augmented Lyapunov functional [21] was introduced to investigate the asymptotic stability of neutral time-delay systems.”
State feedback controller design of networked control systems with interval time‐varying delay and nonlinearity (2008, methodology): “Our computation of cross terms is quite different from those in [1, 13, 27, 28, 29] where additional free matrices have been used, and is also different from those in [4, 5, 12] where the loose bounding technique has been employed.”