On matrix integrators for real-time simulation
A matrix integration method is generalized to systems with zero eigenvalues. It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jaco...
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Veröffentlicht in: | IEEE transactions on industrial electronics (1982) 1990-04, Vol.37 (2), p.113-118 |
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container_title | IEEE transactions on industrial electronics (1982) |
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creator | De Abreu-Garcia, J.A. Hartley, T.T. Mossayebi, F. |
description | A matrix integration method is generalized to systems with zero eigenvalues. It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jacobian is in block upper triangular form. A numerical example is included for illustrative purposes.< > |
doi_str_mv | 10.1109/41.52959 |
format | Article |
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It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jacobian is in block upper triangular form. A numerical example is included for illustrative purposes.< ></description><subject>Applied sciences</subject><subject>Computational modeling</subject><subject>Computer science; control theory; systems</subject><subject>Control theory. 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Systems</topic><topic>Differential equations</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Exact sciences and technology</topic><topic>Hardware</topic><topic>Jacobian matrices</topic><topic>Nonlinear systems</topic><topic>Real time systems</topic><topic>Stability</topic><topic>System theory</topic><topic>Time factors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>De Abreu-Garcia, J.A.</creatorcontrib><creatorcontrib>Hartley, T.T.</creatorcontrib><creatorcontrib>Mossayebi, F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on industrial electronics (1982)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>De Abreu-Garcia, J.A.</au><au>Hartley, T.T.</au><au>Mossayebi, F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On matrix integrators for real-time simulation</atitle><jtitle>IEEE transactions on industrial electronics (1982)</jtitle><stitle>TIE</stitle><date>1990-04-01</date><risdate>1990</risdate><volume>37</volume><issue>2</issue><spage>113</spage><epage>118</epage><pages>113-118</pages><issn>0278-0046</issn><eissn>1557-9948</eissn><coden>ITIED6</coden><abstract>A matrix integration method is generalized to systems with zero eigenvalues. It is shown that the regression coefficients of the integrator can be determined without explicitly computing the inverse of the system Jacobian. This is done by transforming the original system into a new system whose Jacobian is in block upper triangular form. A numerical example is included for illustrative purposes.< ></abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/41.52959</doi><tpages>6</tpages></addata></record> |
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subjects | Applied sciences Computational modeling Computer science control theory systems Control theory. Systems Differential equations Eigenvalues and eigenfunctions Exact sciences and technology Hardware Jacobian matrices Nonlinear systems Real time systems Stability System theory Time factors |
title | On matrix integrators for real-time simulation |
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