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

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Problem 1.1

Stability and composition of transfer functions

G. Fernández-Anaya

Departamento de Ciencias Básicas

Universidad Iberoaméricana

Lomas de Santa Fe

01210 México D.F.

México

guillermo.fernandez@uia.mx

J. C. Martínez-García

Departamento de Control Automático

CINVESTAV-IPN

A.P. 14-740

07300 México D.F.

México

martinez@ctrl.cinvestav.mx

1 INTRODUCTION

As far as the frequency-described continuous linear time-invariant systems are concerned, the study of control-oriented properties (like stability) resulting from the substitution of the complex Laplace variable s by rational transfer functions have been little studied by the Automatic Control community. However, some interesting results have recently been published:

Concerning the study ...

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