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1. On the Equivalence Between Strict Positive Realness and Strict Passivity of Linear Systems.

Author

Madeira, Diego de S. and Adamy, Jurgen

Subjects
*LINEAR time invariant systems, *FREQUENCY-domain analysis, *STABILITY of linear systems, *TRANSFER functions, *CONTROL theory (Engineering)
Abstract

This technical note presents a proof of the equivalence between the strict passivity of linear time-invariant (LTI) controllable and observable systems and the strict positive realness of their transfer function matrices, where the direct feedthrough $D$ is possibly a non-zero matrix. Although both properties guarantee asymptotic stability, the former is a time domain condition and the latter is a frequency domain concept. A numerical example illustrates our main results. [ABSTRACT FROM AUTHOR]

Published
2016
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