Delay Effects on Stability: A Robust Control Approach

Silviu-Iulian Niculescu, quot;Delay Effects on Stability: A Robust Control Approachquot;
Springer | 2001 | ISBN: 1852332913 | 383 pages | File type: PDF | 18,7 mb
Monograph devoted to the effect of delays on the stability properties of dynamical systems. Addresses general delay problems and offers solutions in some cases.

This monograph is devoted to the eect of delays on the stability properties
of dynamical systems. Stability regions with respect to the delay parameters are
considered, and some su?cient (or necessary and su?cient) characterization are
proposed. Note that if the stability characterization in the nite-dimensional
linear case is completely known, the problem is still open for general (linear)
delay systems. This monograph addresses such problem and gives solutions
in some cases. For the others, approximations of the stability regions can be
proposed, with some degree of conservativeness. The interpretation of delays
as uncertainty allows us to use the advances in robust control (analysis and
design) and robust convex optimization to compute or to approximate the exact
solutions of the corresponding problems.
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