Control lyapunov modes of linear control systems

X. Xia; G. Chen; R. Gai

Control lyapunov modes of linear control systems

X. Xia
, G. Chen
, R. Gai

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

Abstract

For both discrete-time and continuous-time linear multi-variable control systems, the paper introduces a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. It is proved that the number of unstable control Lyapunov modes is at most equal to the number of inputs of the system.

Original language	English
Pages (from-to)	273-278
Journal	SAIEE Africa Research Journal
Volume	96
Issue number	4
Publication status	Published - Dec 2005

Research Keywords

Control lyapunov function
Generalized eigenvalue
Singular value
Stability
Stabilization

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title = "Control lyapunov modes of linear control systems",

abstract = "For both discrete-time and continuous-time linear multi-variable control systems, the paper introduces a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. It is proved that the number of unstable control Lyapunov modes is at most equal to the number of inputs of the system.",

keywords = "Control lyapunov function, Generalized eigenvalue, Singular value, Stability, Stabilization",

author = "X. Xia and G. Chen and R. Gai",

year = "2005",

month = dec,

language = "English",

volume = "96",

pages = "273--278",

journal = "SAIEE Africa Research Journal",

issn = "0038-2221",

publisher = "South African Institute of Electrical Engineers",

number = "4",

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TY - JOUR

T1 - Control lyapunov modes of linear control systems

AU - Xia, X.

AU - Chen, G.

AU - Gai, R.

PY - 2005/12

Y1 - 2005/12

N2 - For both discrete-time and continuous-time linear multi-variable control systems, the paper introduces a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. It is proved that the number of unstable control Lyapunov modes is at most equal to the number of inputs of the system.

AB - For both discrete-time and continuous-time linear multi-variable control systems, the paper introduces a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. It is proved that the number of unstable control Lyapunov modes is at most equal to the number of inputs of the system.

KW - Control lyapunov function

KW - Generalized eigenvalue

KW - Singular value

KW - Stability

KW - Stabilization

UR - https://www.scopus.com/pages/publications/32644447823

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-32644447823&origin=recordpage

M3 - RGC 22 - Publication in policy or professional journal

SN - 0038-2221

VL - 96

SP - 273

EP - 278

JO - SAIEE Africa Research Journal

JF - SAIEE Africa Research Journal

IS - 4

ER -

Control lyapunov modes of linear control systems

Abstract

Research Keywords

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