A structure-preserving Lanczos-type algorithm with application to control problems
A Hamiltonian structure-preserving Lanczos-type method, named the J-Lanczos algorithm, is introduced for solving large sparse Hamiltonian eigenvalues problem which arises in both continuous-time and discrete-time optimal control applications. Shift and invert techniques are incorporated to approxima...
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| creator | Ferng, W.R. Wen-Wei Lin Chern-Shuh Wang |
| description | A Hamiltonian structure-preserving Lanczos-type method, named the J-Lanczos algorithm, is introduced for solving large sparse Hamiltonian eigenvalues problem which arises in both continuous-time and discrete-time optimal control applications. Shift and invert techniques are incorporated to approximate all stable eigenvalues and the associated invariant subspace. Numerical results for solving high order continuous-time Riccati equation arising from position and velocity control for a string of high speed vehicles are presented. |
| doi_str_mv | 10.1109/CDC.1997.652463 |
| format | Conference Proceeding |
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Shift and invert techniques are incorporated to approximate all stable eigenvalues and the associated invariant subspace. 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Shift and invert techniques are incorporated to approximate all stable eigenvalues and the associated invariant subspace. Numerical results for solving high order continuous-time Riccati equation arising from position and velocity control for a string of high speed vehicles are presented.</description><subject>Control theory</subject><subject>Cost function</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Feedback</subject><subject>Kernel</subject><subject>Mathematics</subject><subject>Optimal control</subject><subject>Riccati equations</subject><subject>Sparse matrices</subject><subject>Strontium</subject><issn>0191-2216</issn><isbn>0780341872</isbn><isbn>9780780341876</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1997</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj8tKAzEYRgMq2FbXgqu8QMbcJpdlGa8wIIiuSybzT41MJ0OSKvXpLdTNd-AsDnwI3TBaMUbtXXPfVMxaXamaSyXO0JJqQ4VkRvNztKDMMsI5U5domfMXpdRQpRbobY1zSXtf9gnInCBD-g7TFrdu8r8xk3KYAbtxG1Monzv8c1zs5nkM3pUQJ1wi9nEqKY54TrEbYZev0MXgxgzX_1yhj8eH9-aZtK9PL826JYFpXkgneu17ZQZlue-dZFTz2tbGcekG4_peKSe1NkcF0oPnDLpOgeOedcLUtVih21M3AMBmTmHn0mFzui_-AHi8UFE</recordid><startdate>1997</startdate><enddate>1997</enddate><creator>Ferng, W.R.</creator><creator>Wen-Wei Lin</creator><creator>Chern-Shuh Wang</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1997</creationdate><title>A structure-preserving Lanczos-type algorithm with application to control problems</title><author>Ferng, W.R. ; Wen-Wei Lin ; Chern-Shuh Wang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i172t-b3d7cd68f692cda410725958a24af8add66a4778958e4cec21ebb6ea2c1b38553</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Control theory</topic><topic>Cost function</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Feedback</topic><topic>Kernel</topic><topic>Mathematics</topic><topic>Optimal control</topic><topic>Riccati equations</topic><topic>Sparse matrices</topic><topic>Strontium</topic><toplevel>online_resources</toplevel><creatorcontrib>Ferng, W.R.</creatorcontrib><creatorcontrib>Wen-Wei Lin</creatorcontrib><creatorcontrib>Chern-Shuh Wang</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ferng, W.R.</au><au>Wen-Wei Lin</au><au>Chern-Shuh Wang</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A structure-preserving Lanczos-type algorithm with application to control problems</atitle><btitle>Proceedings of the 36th IEEE Conference on Decision and Control</btitle><stitle>CDC</stitle><date>1997</date><risdate>1997</risdate><volume>4</volume><spage>3855</spage><epage>3860 vol.4</epage><pages>3855-3860 vol.4</pages><issn>0191-2216</issn><isbn>0780341872</isbn><isbn>9780780341876</isbn><abstract>A Hamiltonian structure-preserving Lanczos-type method, named the J-Lanczos algorithm, is introduced for solving large sparse Hamiltonian eigenvalues problem which arises in both continuous-time and discrete-time optimal control applications. Shift and invert techniques are incorporated to approximate all stable eigenvalues and the associated invariant subspace. Numerical results for solving high order continuous-time Riccati equation arising from position and velocity control for a string of high speed vehicles are presented.</abstract><pub>IEEE</pub><doi>10.1109/CDC.1997.652463</doi></addata></record> |
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| identifier | ISSN: 0191-2216 |
| ispartof | Proceedings of the 36th IEEE Conference on Decision and Control, 1997, Vol.4, p.3855-3860 vol.4 |
| issn | 0191-2216 |
| language | eng |
| recordid | cdi_ieee_primary_652463 |
| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Control theory Cost function Eigenvalues and eigenfunctions Feedback Kernel Mathematics Optimal control Riccati equations Sparse matrices Strontium |
| title | A structure-preserving Lanczos-type algorithm with application to control problems |
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