Parameter dependent stability and stabilization of uncertain time-delay systems

A new robust delay dependent stability test is introduced that determines the asymptotic stability of linear systems with state delays. The parameters of the system are not exactly given. They are known to reside in a given polytope. The test provides an efficient sufficient condition for the stabil...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2003-05, Vol.48 (5), p.861-866
Main Authors: Fridman, E., Shaked, U.
Format: Article
Language:English
Subjects:
Applied sciences
Asymptotic properties
Asymptotic stability
Automatic control
Circuit stability
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory. Systems
Criteria
Delay
Exact sciences and technology
Linear systems
Modelling and identification
Polynomials
Polytopes
Robust stability
Stability
Stability tests
Stabilization
System analysis and design
Three-term control
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Description
Summary:A new robust delay dependent stability test is introduced that determines the asymptotic stability of linear systems with state delays. The parameters of the system are not exactly given. They are known to reside in a given polytope. The test provides an efficient sufficient condition for the stability of the system over the uncertainty polytope. This condition is parameter dependent and it therefore improves previous results that were derived using a single Lyapunov-Krasovskii functional. The stability test is readily extended to provide a criterion for robust stabilization via state-feedback.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2003.811269