On delay-dependent stability conditions ☆

By Vladimir L. Kharitonov, D. Melchor-Aguilar. 2000

129 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8acd308b366cfa2da178c7339c5d6c4047243553

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

A survey of linear matrix inequality techniques in stability analysis of delay systems (2008, background): “Compared with (3), additional dynamics are introduced in (10), (14), and (15) (Gu and Niculescu 2000; Kharitonov and Melchor-Aguilar 2000; Gu and Niculescu 2001; Kharitonov and Melchor-Aguilar 2002; Kharitonov and Melchor-Aguilar 2003a; Kharitonov and MelchorAguilar 2003b), which may cause…”
New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems (2001, background): “The conservatism of approaches based on these transformations is two-fold: the transformed system is not equivalent to the original one (see [1] concerning the 1rst transformation, while the second transformation requires additional assumptions as mentioned in [13]) and bounds should be obtained (co”
An improved stabilization method for linear time-delay systems (2002, methodology): “The first cause for conservatism is the model transformation used to describe the system which makes it more amenable for analysis [7], [8] and the second reason for conservatism is the bounding method used to derive the bounds on weighted cross products of the state and its delayed version while…”
Stability of linear descriptor systems with delay: a Lyapunov-based approach (2002, background): “The conservatism of conditions based on this transformation is twofold: the transformed system is not equivalent to the original one having a double distributed delay (see [8]) and bounds should be obtained (completion of the squares) for certain terms.”
An improved stability criterion for systems with distributed delays (2001, background): “Such additional dynamics has also been discussed in Reference [14].”
Stability conditions for integral delay systems (2010, background): “Recently, in References [1, 2] it has been shown that some system transformations, commonly used to obtain delay-dependent stability conditions for time-delay systems, introduce additional dynamics.”
Time-delay systems: an overview of some recent advances and open problems (2003, background): “(39) (Kolmanovskii et al., 1998), the converse problem was addressed in Kharitonov and Melchior-Aguliar (2000).”
DELAY‐DEPENDENT ROBUST CONTROL OF DESCRIPTOR SYSTEMS WITH TIME DELAY (2006, methodology): “Proof. Following [16], [ 13 ] and [14], we consider the following index:”
Tutorial on Lyapunov-based methods for time-delay systems (2014, background): “The latter system is not equivalent to the original one possessing some additional dynamics [29,38].”