Delay-dependent robust stabilization of uncertain state-delayed systems

By Young Soo Moon, PooGyeon Park, Wook Hyun Kwon, Young Sam Lee. 2001

1,313 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5281325cd7cb1fb4a61d5c0a49f3c740824a4d10

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Delay-dependent stability criteria for linear systems with multiple time delays (2006, neutral): “Remark 3: Unlike the discretized-Lyapunov-functional approach, our method can easily be extended to the synthesis of a control system, as explained in [4, 5, 19].”
Regional stabilization and H∞ control of time‐delay systems with saturating actuators (2003, background): “[19] for less conservative bounding of cross terms.”
A new result on the delay‐dependent stability of discrete systems with time‐varying delays (2014, methodology): “For instance, by the Moon’s inequality [23] together with the Lyapunov–Krasovskii functional approach, a delay-dependent stability condition in terms of LMIs was obtained in [15] in the context of discrete systems with a time-invariant delay.”
IMPROVED CONDITIONS FOR DELAY‐DEPENDENT ROBUST STABILITY AND STABILIZATION OF UNCERTAIN DISCRETE TIME‐DELAY SYSTEMS (2005, methodology): “Very recently, a new bounding technique was proposed in [4], where less conservative results for delay-dependent stability and stabilization were obtained.”
Integral partitioning approach to robust stabilization for uncertain distributed time‐delay systems (2012, methodology): “By introducing the slack variables to deal with the weighted cross-products of the state and the delayed state, the new stability criterion obtained in [7] is less conservative than the result in [6].”
A New Design of Delay-Dependent Robust ${\cal H}_{\bm \infty}$ Filtering for Discrete-Time T--S Fuzzy Systems With Time-Varying Delay (2009, methodology): “First, the delay-dependent criterion was realized by utilizing a system model transformation technique incorporating Moon’s bounding inequality [24], and when treating the time-varying delay and estimating the upper bound of the difference of Lyapunov–Krasovskii functional, some useful terms such as”
DELAY-DEPENDENT STABILITY ANALYSIS OF LINEAR TIME DELAY SYSTEMS (2006, background): “During the last decade, the stability analysis of time delay systems with LMI based methods have attracted a large number of researchers (Moon et al., 2001; Park, 1999; Xu and Lam, 2005; Fridman and Shaked, 2002).”
A new design of delay‐dependent robust ℋ︁∞ filtering for continuous‐time polytopic systems with time‐varying delay (2010, methodology): “1, the delay-dependent criterion is realized by using a free-weighting matrix technique, which enables one to avoid performing any model transformation to the original system and thus no bounding technique is needed to estimate the inner product of the involved crossing terms [16, 17, 35, 36].”