Linear Hamiltonian behaviors and bilinear differential forms

P Rapisarda; HL Trentelman

doi:10.1137/S0363012902414664

Linear Hamiltonian behaviors and bilinear differential forms

P Rapisarda^*, HL Trentelman

^*Corresponding author for this work

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

Abstract

We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.

Original language	English
Pages (from-to)	769-791
Number of pages	23
Journal	Siam Journal on Control and Optimization
Volume	43
Issue number	3
DOIs	https://doi.org/10.1137/S0363012902414664
Publication status	Published - 2004

Keywords

linear Hamiltonian systems
two-variable polynomial matrices
bilinear and quadratic differential forms
behavioral system theory
DISTRIBUTED SYSTEMS
EQUATIONS

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10.1137/S0363012902414664

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title = "Linear Hamiltonian behaviors and bilinear differential forms",

abstract = "We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.",

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AU - Rapisarda, P

AU - Trentelman, HL

PY - 2004

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N2 - We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.

AB - We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view in classical mechanics of considering first- and second-order differential equations only.

KW - linear Hamiltonian systems

KW - two-variable polynomial matrices

KW - bilinear and quadratic differential forms

KW - behavioral system theory

KW - DISTRIBUTED SYSTEMS

KW - EQUATIONS

U2 - 10.1137/S0363012902414664

DO - 10.1137/S0363012902414664

M3 - Article

SN - 0363-0129

VL - 43

SP - 769

EP - 791

JO - Siam Journal on Control and Optimization

JF - Siam Journal on Control and Optimization

IS - 3

ER -

Linear Hamiltonian behaviors and bilinear differential forms

Abstract

Keywords

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