Equivalent realizations for uncertain systems with an IQC uncertainty description

Authors:
Ian R. Petersen
Affiliations:
School of Information Technology and Electrical Engineering, University of New South Wales at the Australian Defence Force Academy, Canberra ACT 2600, Australia
Venue:
Automatica (Journal of IFAC)
Year:
2007

Citing 3
Cited 1

Robust observability for a class of time-varying discrete-time uncertain systems

Systems & Control Letters
Model validation for robust control of uncertain systems with an integral quadratic constraint

Automatica (Journal of IFAC)
Introduction to mathematical systems theory: a behavioral approach

Introduction to mathematical systems theory: a behavioral approach

Brief paper: Risk-sensitivity conditions for stochastic uncertain model validation

Automatica (Journal of IFAC)

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Abstract

This paper considers uncertain systems in terms of their corresponding system input-output behavior. The paper develops a necessary and sufficient condition for the input-output behavior of a given uncertain system to be contained in the input-output behavior of another uncertain system. This result also enables one to consider the equivalence between two uncertain systems. The uncertain systems under consideration are linear time-varying uncertain systems in which the uncertainty is described by a time domain integral quadratic constraint.