An extension is made for a set of systems that have a quadratic Lyapunov function in common for the purpose of analysis and design. The nominal set of system matrices comprises stable symmetric matricies, which admit a hyperspherical Lyapunov function. Based on stability robustness results, sets of matrices are constructed so that they share the same Lyapunov function with the nominal ones.
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Takehiro MORI, Hideki KOKAME, "An Extension of a Class of Systems That Have a Common Lyapunov Function" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 8, pp. 1522-1524, August 1997, doi: .
Abstract: An extension is made for a set of systems that have a quadratic Lyapunov function in common for the purpose of analysis and design. The nominal set of system matrices comprises stable symmetric matricies, which admit a hyperspherical Lyapunov function. Based on stability robustness results, sets of matrices are constructed so that they share the same Lyapunov function with the nominal ones.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_8_1522/_p
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@ARTICLE{e80-a_8_1522,
author={Takehiro MORI, Hideki KOKAME, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Extension of a Class of Systems That Have a Common Lyapunov Function},
year={1997},
volume={E80-A},
number={8},
pages={1522-1524},
abstract={An extension is made for a set of systems that have a quadratic Lyapunov function in common for the purpose of analysis and design. The nominal set of system matrices comprises stable symmetric matricies, which admit a hyperspherical Lyapunov function. Based on stability robustness results, sets of matrices are constructed so that they share the same Lyapunov function with the nominal ones.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - An Extension of a Class of Systems That Have a Common Lyapunov Function
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1522
EP - 1524
AU - Takehiro MORI
AU - Hideki KOKAME
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 1997
AB - An extension is made for a set of systems that have a quadratic Lyapunov function in common for the purpose of analysis and design. The nominal set of system matrices comprises stable symmetric matricies, which admit a hyperspherical Lyapunov function. Based on stability robustness results, sets of matrices are constructed so that they share the same Lyapunov function with the nominal ones.
ER -