A miscellany of results of an equation of Count J. F. Riccati

Marie Antoinette Poubelle; Ian R. Petersen; Michel R. Gevers; Robert R. Bitmead

doi:10.1109/tac.1986.1104355

A miscellany of results of an equation of Count J. F. Riccati

Marie Antoinette Poubelle^*
, Ian R. Petersen
, Michel R. Gevers
, Robert R. Bitmead

^*Corresponding author for this work

The Australian National University

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

A collection of results on the Riccati equation is presented. The questions addressed are the existence of strong solution of the algebraic Riccati equation and the covergence of solutions of the Riccati difference equation to those of the algebraic equation. The results derived utilize detectability conditions only.

Original language	English
Pages (from-to)	651-654
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	AC-31
Issue number	7
DOIs	https://doi.org/10.1109/tac.1986.1104355
Publication status	Published - 1986

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10.1109/tac.1986.1104355

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title = "A miscellany of results of an equation of Count J. F. Riccati",

abstract = "A collection of results on the Riccati equation is presented. The questions addressed are the existence of strong solution of the algebraic Riccati equation and the covergence of solutions of the Riccati difference equation to those of the algebraic equation. The results derived utilize detectability conditions only.",

author = "Poubelle, \{Marie Antoinette\} and Petersen, \{Ian R.\} and Gevers, \{Michel R.\} and Bitmead, \{Robert R.\}",

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AU - Gevers, Michel R.

AU - Bitmead, Robert R.

PY - 1986

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N2 - A collection of results on the Riccati equation is presented. The questions addressed are the existence of strong solution of the algebraic Riccati equation and the covergence of solutions of the Riccati difference equation to those of the algebraic equation. The results derived utilize detectability conditions only.

AB - A collection of results on the Riccati equation is presented. The questions addressed are the existence of strong solution of the algebraic Riccati equation and the covergence of solutions of the Riccati difference equation to those of the algebraic equation. The results derived utilize detectability conditions only.

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DO - 10.1109/tac.1986.1104355

M3 - Article

AN - SCOPUS:0022751791

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

A miscellany of results of an equation of Count J. F. Riccati

Abstract

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