Robust Stability and Convexity
An Introduction
Published on 25. November 1994
Book
Paperback/Softback
XI, 180 pages
978-3-540-19919-9 (ISBN)
Description
A fundamental problem in control theory is concerned with the stability of a given linear system. The design of a control system is generally based on a simplified model. The true values of the physical parameters may differ from the assumed values.
Robust Stability and Convexity addresses stability problems for linear systems with parametric uncertainty. The application of convexity techniques leads to new computationally tractable stability criteria for families of characteristic functions with nonlinear dependence on the parameters. Stability results as well as stability criteria for time-delay systems with uncertainties in coefficients and delays are reported.
Robust Stability and Convexity addresses stability problems for linear systems with parametric uncertainty. The application of convexity techniques leads to new computationally tractable stability criteria for families of characteristic functions with nonlinear dependence on the parameters. Stability results as well as stability criteria for time-delay systems with uncertainties in coefficients and delays are reported.
More details
Series
Edition
1995 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
6 s/w Abbildungen
XI, 180 p. 6 illus.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
308 gr
ISBN-13
978-3-540-19919-9 (9783540199199)
DOI
10.1007/BFb0007664
Schweitzer Classification
Content
and motivation.- Stability of box polynomial families.- Stability radii and convex analysis.- Multiaffine polynomial families.- Multidimensional systems and systems with commensurate delays.- Uncertain time-delay systems.- Convexity of frequency response arcs associated with Hurwitz qausipolynomials.- Epilogue.