An improved stabilization method for linear time-delay systems

By Emilia M. Fridman, Uri Shaked. IEEE Transactions on Automatic Control, 2002

888 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/d4010ac9a8d58e8a655e56f4b61e0fdb004e5d30

How researchers see this paper

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

In Control and Systems Engineering

1. James Lam
2. Shengyuan Xu
3. Yong He
4. Huijun Gao
5. Min Wu
6. Frédéric Gouaisbaut
7. Alexandre Seuret
8. Qing-Long Han

Citations in the corpus

• Further Improvement of Free-Weighting Matrices Technique for Systems With Time-Varying Delay (2007, background): “It is clear that the obtained results are significantly better than those in [5], [6], [12], [14], and [20].”
• Delay‐range‐dependent robust stability and stabilization for uncertain systems with time‐varying delay (2008, methodology): “9 0 h2 by Friman and Shaked [1]; He et al.”
• Stability of Linear Systems With Time-Varying Delays Using Bessel–Legendre Inequalities (2018, neutral): “[4], [24] 4.”
• DELAY‐DEPENDENT ROBUST CONTROL OF DESCRIPTOR SYSTEMS WITH TIME DELAY (2006, methodology): “The first cause for conservatism is the model transformation used to describe the system which makes it more amenable for analysis [12-15].”
• Improved delay-dependent stability criteria for time-delay systems (2005, result): “It can be seen that the results demonstrate that the delay-dependent robust stability condition in this note is less conservative than those in [2] and [4].”
• Exponential stability analysis for neutral switched systems with interval time-varying mixed delays and nonlinear perturbations (2012, background): “It is known that delay-independent criteria tend to be conservative especially for small size delays, see [1–5].”
• Delay-dependent stability criteria for linear systems with multiple time delays (2006, positive): “Since Fridman and Shaked simply extended the method for a single delay to two delays in [4] [5], they were only able to provide a stable upper bound, but not an appropriate (possibly non-zero) lower bound, for h 2 .”
• H ∞ model reduction for discrete time-delay systems: delay-independent and dependent approaches (2004, methodology): “…the proof is completed. œ Remark 5: It is worth noting that the derivation of the delay-dependent BRL in Theorem 2 exploits the most efficient bounding technique (Lemma 3), which has been used in many related problems for time-delay systems (see, e.g. Fridman and Shaked 2002, Gao and Wang 2003).”