Poles and zeros for time-varying systems

Richard T. O'Brien; Pablo A. Iglesias

Poles and zeros for time-varying systems

Richard T. O'Brien, Pablo A. Iglesias

Whiting School of Engineering

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system's impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2^nd order systems and a numerical example is given to illustrate this procedure.

Original language	English (US)
Pages (from-to)	2672-2676
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	5
State	Published - Jan 1 1997
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: Jun 4 1997 → Jun 6 1997

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "Poles and zeros for time-varying systems",

abstract = "Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system's impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure.",

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T1 - Poles and zeros for time-varying systems

AU - O'Brien, Richard T.

AU - Iglesias, Pablo A.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system's impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure.

AB - Poles and zeros are defined for continuous-time, linear, time-varying systems as functions of time. A pole set defines a stability-preserving variable change relating a time-varying state equation to a diagonal state equation. Zeros are defined using a time-varying transformation of the system's impulse response analogous to the transfer function for time-invariant systems. Both definitions are shown to be generalizations of previous definitions of poles and zeros for time-varying systems by Kamen and consistent with existing definitions for time-invariant systems. A computation procedure is presented for 2nd order systems and a numerical example is given to illustrate this procedure.

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M3 - Conference article

AN - SCOPUS:0030660776

SN - 0743-1619

VL - 5

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JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)

Y2 - 4 June 1997 through 6 June 1997

ER -

Poles and zeros for time-varying systems

Abstract

ASJC Scopus subject areas

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