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Lyapunov equation for infinite-dimensional discrete bilinear systems

Abstract

Mean-square stability for discrete systems requires that uniform convergence is preserved between input and state correlation sequences. Such a convergence preserving property holds for an infinite-dimensional bilinear system if and only if the associate Lyapunov equation has a unique strictly positive solution. (author).
Publication Date:
Mar 01, 1991
Product Type:
Technical Report
Report Number:
LNCC-004/91
Reference Number:
SCA: 661100; PA: AIX-23:026532; SN: 92000686126
Resource Relation:
Other Information: PBD: Mar 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LYAPUNOV METHOD; STABILITY; ASYMPTOTIC SOLUTIONS; BANACH SPACE; HILBERT SPACE; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10128889
Research Organizations:
Laboratorio Nacional de Computacao Cientifica (LNCC), Rio de Janeiro, RJ (Brazil)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE92621066; TRN: BR9228396026532
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
12 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Costa, O L.V., and Kubrusly, C S. Lyapunov equation for infinite-dimensional discrete bilinear systems. Brazil: N. p., 1991. Web.
Costa, O L.V., & Kubrusly, C S. Lyapunov equation for infinite-dimensional discrete bilinear systems. Brazil.
Costa, O L.V., and Kubrusly, C S. 1991. "Lyapunov equation for infinite-dimensional discrete bilinear systems." Brazil.
@misc{etde_10128889,
title = {Lyapunov equation for infinite-dimensional discrete bilinear systems}
author = {Costa, O L.V., and Kubrusly, C S}
abstractNote = {Mean-square stability for discrete systems requires that uniform convergence is preserved between input and state correlation sequences. Such a convergence preserving property holds for an infinite-dimensional bilinear system if and only if the associate Lyapunov equation has a unique strictly positive solution. (author).}
place = {Brazil}
year = {1991}
month = {Mar}
}