## 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) |
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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