Coverart for item
The Resource Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource)

Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource)

Label
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
Title
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
Statement of responsibility
by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri
Creator
Contributor
Subject
Language
eng
Summary
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. The book contains extensions of results which are well known when the coefficients are autonomous or periodic, as well as in the nonautonomous two-dimensional case. However, a substantial part of the theory presented here is new even in those much simpler situations. The authors make systematic use of basic facts concerning Lagrange planes and symplectic matrices, and apply some fundamental methods of topological dynamics and ergodic theory. Among the tools used in the analysis, which include Lyapunov exponents, Weyl matrices, exponential dichotomy, and weak disconjugacy, a fundamental role is played by the rotation number for linear Hamiltonian systems of general dimension. The properties of all these objects form the basis for the study of several themes concerning linear-quadratic control problems, including the linear regulator property, the Kalman-Bucy filter, the infinite-horizon optimization problem, the nonautonomous version of the Yakubovich Frequency Theorem, and dissipativity in the Willems sense. The book will be useful for graduate students and researchers interested in nonautonomous differential equations; dynamical systems and ergodic theory; spectral theory of differential operators; and control theory
Member of
http://library.link/vocab/creatorName
Johnson, Russell
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Obaya, Rafael
  • Novo, Sylvia
  • León N., Carmen Violeta
  • Fabbri, Roberta
Series statement
Developments in Mathematics,
Series volume
36
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Differential equations
  • System theory
Label
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-29025-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theory. Linear-quadratic dissipative control processes -- Index -- References
Control code
978-3-319-29025-6
Dimensions
unknown
Edition
1st ed. 2016.
Extent
1 online resource (xxi, 497 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319290256
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-29025-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945662940
Label
Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-29025-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theory. Linear-quadratic dissipative control processes -- Index -- References
Control code
978-3-319-29025-6
Dimensions
unknown
Edition
1st ed. 2016.
Extent
1 online resource (xxi, 497 pages)
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319290256
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-29025-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)945662940

Library Locations

    • Badia FiesolanaBorrow it
      Via dei Roccettini 9, San Domenico di Fiesole, 50014, IT
      43.803074 11.283055
Processing Feedback ...