Quadratic stability and stabilization of linear systems with frobenius norm-bounded uncertainties

Joon Hwa Lee; Wook Hyun Kwon; Jae Won Lee

doi:10.1109/9.486650

Quadratic stability and stabilization of linear systems with frobenius norm-bounded uncertainties

Joon Hwa Lee, Wook Hyun Kwon, Jae Won Lee

School of Electrical and Computer Engineering

Seoul National University

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

17 Scopus citations

Abstract

In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation.

Original language	English
Pages (from-to)	453-456
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	41
Issue number	3
DOIs	https://doi.org/10.1109/9.486650
State	Published - 1996

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title = "Quadratic stability and stabilization of linear systems with frobenius norm-bounded uncertainties",

abstract = "In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation.",

author = "Lee, \{Joon Hwa\} and Kwon, \{Wook Hyun\} and Lee, \{Jae Won\}",

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AU - Kwon, Wook Hyun

AU - Lee, Jae Won

PY - 1996

Y1 - 1996

N2 - In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation.

AB - In this paper, a quadratic stability condition and a quadratic stabilizer are proposed for linear systems with Frobenius norm-bounded uncertainties. The necessary and sufficient condition for the quadratic stability of the uncertain system is given by a Riccati inequality. The proposed state feedback quadratic stabilizer can be obtained by solving a Riccati equation.

UR - https://www.scopus.com/pages/publications/0030106616

U2 - 10.1109/9.486650

DO - 10.1109/9.486650

M3 - Article

AN - SCOPUS:0030106616

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SP - 453

EP - 456

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 3

ER -

Quadratic stability and stabilization of linear systems with frobenius norm-bounded uncertainties

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