CONTROL OF LYAPUNOV EXPONENTS VIA HYBRID FEEDBACK ALGORITHMS

Elena Litsyn; Yurii Nepomnyashchikh; Arcady Ponosov

CONTROL OF LYAPUNOV EXPONENTS VIA HYBRID FEEDBACK ALGORITHMS

Elena Litsyn, Yurii Nepomnyashchikh, Arcady Ponosov

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

Abstract

For a control linear system in the plane, which has two complex eigenvalues in the absence of the control, asymptotic convergence/divergence of solutions at an arbitrary rate in the case of incomplete observations is proved. It is also shown that given an arbitrary open interval lying to the left of the real part of the system's eigenvalues there always exists a hybrid feedback control which puts the upper and lower Lyapunov exponents of the control system into this interval.

Original language	English
Pages (from-to)	157-162
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	37
Issue number	21
State	Published - 1 Jan 2004
Event	2nd IFAC Symposium on System Structure and Control 2004 - Oaxaca, Mexico Duration: 8 Dec 2004 → 10 Dec 2004

Keywords

Hybrid feedback control
Lyapunov exponents

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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abstract = "For a control linear system in the plane, which has two complex eigenvalues in the absence of the control, asymptotic convergence/divergence of solutions at an arbitrary rate in the case of incomplete observations is proved. It is also shown that given an arbitrary open interval lying to the left of the real part of the system's eigenvalues there always exists a hybrid feedback control which puts the upper and lower Lyapunov exponents of the control system into this interval.",

keywords = "Hybrid feedback control, Lyapunov exponents",

author = "Elena Litsyn and Yurii Nepomnyashchikh and Arcady Ponosov",

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PY - 2004/1/1

Y1 - 2004/1/1

N2 - For a control linear system in the plane, which has two complex eigenvalues in the absence of the control, asymptotic convergence/divergence of solutions at an arbitrary rate in the case of incomplete observations is proved. It is also shown that given an arbitrary open interval lying to the left of the real part of the system's eigenvalues there always exists a hybrid feedback control which puts the upper and lower Lyapunov exponents of the control system into this interval.

AB - For a control linear system in the plane, which has two complex eigenvalues in the absence of the control, asymptotic convergence/divergence of solutions at an arbitrary rate in the case of incomplete observations is proved. It is also shown that given an arbitrary open interval lying to the left of the real part of the system's eigenvalues there always exists a hybrid feedback control which puts the upper and lower Lyapunov exponents of the control system into this interval.

KW - Hybrid feedback control

KW - Lyapunov exponents

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M3 - Conference article

AN - SCOPUS:85177557581

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JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 21

T2 - 2nd IFAC Symposium on System Structure and Control 2004

Y2 - 8 December 2004 through 10 December 2004

ER -

CONTROL OF LYAPUNOV EXPONENTS VIA HYBRID FEEDBACK ALGORITHMS

Abstract

Keywords

ASJC Scopus subject areas

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