LMI approach to spectral stabilizability of linear delay systems and stabilizability of linear systems with complex parameter

@inproceedings{Bliman2001LMIAT,
  title={LMI approach to spectral stabilizability of linear delay systems and stabilizability of linear systems with complex parameter},
  author={Pierre-Alexandre Bliman},
  year={2001}
}
The present paper is focused on the issue of pointwise [11], or (strong) delay-independent [16], stabilization of linear delay systems with commensurate delays. A criterion using LMI formulation is proposed, which is sufcient to have this property. Necessity is conjectured. 1 The problem under study and its background In a previous paper [1, 2] was provided a LMI condition necessary and su cient for (strong) delay-independent stability of linear delay systems with commensurate delays. The… CONTINUE READING

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Showing 1-10 of 17 references

Pointwise stability and feedback control of linear systems with noncommensurate time delays

E. W. Kamen, P. P. Khargonekar, A. Tannenbaum
Acta Applicandae Mathematicae 2 • 1984
View 4 Excerpts
Highly Influenced

Nonconservative LMI criteria for delay-independent stability of delay systems

P. A. Bliman
based on quadratic Lyapunov-Krasovskii functionals, Proc. of 40th IEEE CDC • 2001
View 1 Excerpt

Asymptotic stability sets for linear systems with commensurable delays: a matrix pencil approach

S.-I. Niculescu, J.-M. Dion, L. Dugard, H. Li
IEEE/IMACS CESA'96, Lille, France • 1996
View 2 Excerpts

Frequency-domain methods for nonlinear analysis

G. A. Leonov, D. V. Ponomarenko, V. B. Smirnova
Theory and applications, World Scienti c Publishing Co. • 1996
View 1 Excerpt

L

P. Lancaster
Rodman • 1995

V

S. Boyd, L. El Ghaoui, E. Feron
Balakrishnan • 1994

Stability in linear delay equations

J. K. Hale, E. F. Infante, F.S.P. Tsen
J. Math. Anal. Appl. 115 • 1985
View 1 Excerpt

Regulation of linear systems with fixed noncommensurate point delays

The 23rd IEEE Conference on Decision and Control • 1984
View 1 Excerpt

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