Input-to-state stability of Lur’e systems

E. Sarkans; H. Logemann

doi:10.1007/s00498-015-0147-0

Input-to-state stability of Lur’e systems

E. Sarkans, H. Logemann

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

27 Citations (SciVal)

211 Downloads (Pure)

Abstract

An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.

Original language	English
Pages (from-to)	439-465
Journal	Mathematics of Control Signals and Systems
Volume	27
Issue number	4
Early online date	18 Jul 2015
DOIs	https://doi.org/10.1007/s00498-015-0147-0
Publication status	Published - Dec 2015

Keywords

Absolute stability
Circle criterion
Complexified Aizerman conjecture
Input-to-state stability
Lur’e systems
Stability radius

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10.1007/s00498-015-0147-0

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Cite this

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title = "Input-to-state stability of Lur{\textquoteright}e systems",

abstract = "An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur{\textquoteright}e systems. The approach developed is inspired by the complexified Aizerman conjecture.",

keywords = "Absolute stability, Circle criterion, Complexified Aizerman conjecture, Input-to-state stability, Lur{\textquoteright}e systems, Stability radius",

author = "E. Sarkans and H. Logemann",

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AU - Logemann, H.

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KW - Absolute stability

KW - Circle criterion

KW - Complexified Aizerman conjecture

KW - Input-to-state stability

KW - Lur’e systems

KW - Stability radius

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JO - Mathematics of Control Signals and Systems

JF - Mathematics of Control Signals and Systems

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ER -

Input-to-state stability of Lur’e systems

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Hartmut Logemann

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Input-to-state stability of Lur’e systems

Abstract

Keywords

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Hartmut Logemann

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