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)
Resource Information
The item Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This monograph contains an indepth 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 timerecurrence. 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 twodimensional 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 linearquadratic control problems, including the linear regulator property, the KalmanBucy filter, the infinitehorizon 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
 Language
 eng
 Edition
 1st ed. 2016.
 Extent
 1 online resource (xxi, 497 pages)
 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 KalmanBucy filter
 Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem
 Nonautonomous control theory. Linearquadratic dissipative control processes
 Index
 References
 Isbn
 9783319290256
 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
 Language
 eng
 Summary
 This monograph contains an indepth 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 timerecurrence. 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 twodimensional 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 linearquadratic control problems, including the linear regulator property, the KalmanBucy filter, the infinitehorizon 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
 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)
 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 KalmanBucy filter  Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem  Nonautonomous control theory. Linearquadratic dissipative control processes  Index  References
 Control code
 9783319290256
 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, noncommercial 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
 10.1007/9783319290256
 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)
 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 KalmanBucy filter  Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem  Nonautonomous control theory. Linearquadratic dissipative control processes  Index  References
 Control code
 9783319290256
 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, noncommercial 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
 10.1007/9783319290256
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)945662940
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/NonautonomousLinearHamiltonianSystems/fGZcbNGjQg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/NonautonomousLinearHamiltonianSystems/fGZcbNGjQg/">Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control, by Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>