skip to content
The Riccati Equation Preview this item
ClosePreview this item
Checking...

The Riccati Equation

Author: Sergio Bittanti; Alan J Laub; Jan C Willems
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1991.
Series: Communications and control engineering series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Conceived by Count Jacopo Francesco Riccati more than a quarter of a millennium ago, the Riccati equation has been widely studied in the subsequent centuries. Since its introduction in control theory in the sixties, the matrix Riccati equation has known an impressive range of applications, such as optimal control, H? optimization and robust stabilization, stochastic realization, synthesis of linear passive networks,  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sergio Bittanti; Alan J Laub; Jan C Willems
ISBN: 9783642582233 3642582230
OCLC Number: 851814258
Description: 1 online resource (x, 338 pages)
Contents: 1 Count Riccati and the Early Days of the Riccati Equation --
2 Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review --
3 Algebraic Riccati Equation: Hermitian and Definite Solutions --
4 A Geometric View of the Matrix Riccati Equation --
5 The Geometry of the Matrix Riccati Equation and Associated Eigenvalue Methods --
6 The Periodic Riccati Equation --
7 Invariant Subspace Methods for the Numerical Solution of Riccati Equations --
8 The Dissipation Inequality and the Algebraic Riccati Equation --
9 The Infinite Horizon and the Receding Horizon LQ-Problems with Partial Stabilization Constraints --
10 Riccati Difference and Differential Equations: Convergence, Monotonicity and Stability --
11 Generalized Riccati Equation in Dynamic Games.
Series Title: Communications and control engineering series.
Responsibility: edited by Sergio Bittanti, Alan J. Laub, Jan C. Willems.

Abstract:

Conceived by Count Jacopo Francesco Riccati more than a quarter of a millennium ago, the Riccati equation has been widely studied in the subsequent centuries. Since its introduction in control theory  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/851814258> # The Riccati Equation
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "851814258" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/438462240#Place/berlin_heidelberg> ; # Berlin, Heidelberg
    schema:about <http://id.worldcat.org/fast/1012099> ; # Mathematical optimization
    schema:about <http://experiment.worldcat.org/entity/work/data/438462240#Topic/systems_theory> ; # Systems theory
    schema:about <http://id.worldcat.org/fast/910601> ; # Engineering mathematics
    schema:about <http://dewey.info/class/629.8/e23/> ;
    schema:about <http://id.worldcat.org/fast/1145830> ; # Telecommunication
    schema:about <http://id.worldcat.org/fast/910312> ; # Engineering
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/4992879> ; # Alan J. Laub
    schema:contributor <http://viaf.org/viaf/22203514> ; # Jan C. Willems
    schema:creator <http://viaf.org/viaf/9910390> ; # Sergio Bittanti
    schema:datePublished "1991" ;
    schema:description "1 Count Riccati and the Early Days of the Riccati Equation -- 2 Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review -- 3 Algebraic Riccati Equation: Hermitian and Definite Solutions -- 4 A Geometric View of the Matrix Riccati Equation -- 5 The Geometry of the Matrix Riccati Equation and Associated Eigenvalue Methods -- 6 The Periodic Riccati Equation -- 7 Invariant Subspace Methods for the Numerical Solution of Riccati Equations -- 8 The Dissipation Inequality and the Algebraic Riccati Equation -- 9 The Infinite Horizon and the Receding Horizon LQ-Problems with Partial Stabilization Constraints -- 10 Riccati Difference and Differential Equations: Convergence, Monotonicity and Stability -- 11 Generalized Riccati Equation in Dynamic Games."@en ;
    schema:description "Conceived by Count Jacopo Francesco Riccati more than a quarter of a millennium ago, the Riccati equation has been widely studied in the subsequent centuries. Since its introduction in control theory in the sixties, the matrix Riccati equation has known an impressive range of applications, such as optimal control, H? optimization and robust stabilization, stochastic realization, synthesis of linear passive networks, to name but a few. This book consists of 11 chapters surveying the main concepts and results related to the matrix Riccati equation, both in continuous and discrete time. Theory, applications and numerical algorithms are extensively presented in an expository way. As a foreword, the history and prehistory of the Riccati equation is concisely presented."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/438462240> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://worldcat.org/issn/0178-5354> ; # Communications and Control Engineering Series,
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/438462240#Series/communications_and_control_engineering_series> ; # Communications and control engineering series.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/438462240#CreativeWork/> ;
    schema:name "The Riccati Equation"@en ;
    schema:productID "851814258" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/851814258#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_1991> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/438462240#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3089494> ;
    schema:url <https://doi.org/10.1007/978-3-642-58223-3> ;
    schema:workExample <http://worldcat.org/isbn/9783642582233> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-642-58223-3> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/851814258> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/438462240#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
    schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/438462240#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
    schema:name "Berlin, Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/438462240#Series/communications_and_control_engineering_series> # Communications and control engineering series.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/851814258> ; # The Riccati Equation
    schema:name "Communications and control engineering series." ;
    .

<http://id.worldcat.org/fast/1012099> # Mathematical optimization
    a schema:Intangible ;
    schema:name "Mathematical optimization"@en ;
    .

<http://id.worldcat.org/fast/1145830> # Telecommunication
    a schema:Intangible ;
    schema:name "Telecommunication"@en ;
    .

<http://id.worldcat.org/fast/910312> # Engineering
    a schema:Intangible ;
    schema:name "Engineering"@en ;
    .

<http://id.worldcat.org/fast/910601> # Engineering mathematics
    a schema:Intangible ;
    schema:name "Engineering mathematics"@en ;
    .

<http://viaf.org/viaf/22203514> # Jan C. Willems
    a schema:Person ;
    schema:familyName "Willems" ;
    schema:givenName "Jan C." ;
    schema:name "Jan C. Willems" ;
    .

<http://viaf.org/viaf/4992879> # Alan J. Laub
    a schema:Person ;
    schema:familyName "Laub" ;
    schema:givenName "Alan J." ;
    schema:name "Alan J. Laub" ;
    .

<http://viaf.org/viaf/9910390> # Sergio Bittanti
    a schema:Person ;
    schema:familyName "Bittanti" ;
    schema:givenName "Sergio" ;
    schema:name "Sergio Bittanti" ;
    .

<http://worldcat.org/isbn/9783642582233>
    a schema:ProductModel ;
    schema:isbn "3642582230" ;
    schema:isbn "9783642582233" ;
    .

<http://worldcat.org/issn/0178-5354> # Communications and Control Engineering Series,
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/851814258> ; # The Riccati Equation
    schema:issn "0178-5354" ;
    schema:name "Communications and Control Engineering Series," ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.