Robust Stability and Convexity: An Introduction

ISBN-13: 9783540199199 / Angielski / Miękka / 1994 / 180 str.

Jacob Kogan

Opis

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.

Spis treści

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.