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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 8.4

Stable controller coefficient perturbation

in floating point implementation

Jun Wu

National Key Laboratory of Industrial Control Technology

Institute of Advanced Process Control

Zhejiang University

Hangzhou 310027

P. R. China

jwu@iipc.zju.edu.cn

Sheng Chen

Department of Electronics and Computer Science

University of Southampton, Highfield

Southampton SO17 1BJ

United Kingdom

sqc@ecs.soton.ac.uk

1 DESCRIPTION OF THE PROBLEM

-257638070

A square real matrix is said to be stable if its eigenvalues are all in the interior of the unit disc.

Consider a stable discrete-time closed-loop control system, consisting of a linear time invariant plant P(z) ...

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