A property of the Routh table and its use
Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others ac...
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| Veröffentlicht in: | IEEE transactions on automatic control 1994-12, Vol.39 (12), p.2494-2496 |
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| container_title | IEEE transactions on automatic control |
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| creator | Beghi, A. Lepschy, A. Viaro, U. |
| description | Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others according to the entries of a row of the Routh table for the given polynomial. This fact can be exploited to evaluate certain quadratic integrals in an efficient way.< > |
| doi_str_mv | 10.1109/9.362839 |
| format | Article |
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It is shown that each of these energies is given by a linear combination of some of the others according to the entries of a row of the Routh table for the given polynomial. This fact can be exploited to evaluate certain quadratic integrals in an efficient way.< ></description><subject>Applied sciences</subject><subject>Character generation</subject><subject>Computer science; control theory; systems</subject><subject>Control system analysis</subject><subject>Control theory. Systems</subject><subject>Differential equations</subject><subject>Exact sciences and technology</subject><subject>History</subject><subject>Laplace equations</subject><subject>Polynomials</subject><subject>Robust stability</subject><subject>Robustness</subject><subject>Transfer functions</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKvg2VMOInrYmo9NNjmW4hcUBNFzmE0ndGXbrUn20H_vyhY9yhyGYR6eGV5CLjmbcc7svZ1JLYy0R2TClTKFUEIekwlj3BRWGH1KzlL6HEZdlnxC7uZ0F7sdxrynXaB5jfSt6_OaZqhbpLBd0SYn2ic8JycB2oQXhz4lH48P74vnYvn69LKYLwsvpcoFGoMaQPHaW1BsZbAOEGRtQ22ElyKo4CtkFWdMBs2qVWVVkCg0h9JaDnJKbkbv8NdXjym7TZM8ti1sseuTE5YxbWX5P2iUqEqrB_B2BH3sUooY3C42G4h7x5n7Cc1ZN4Y2oNcHJyQPbYiw9U365Yer0gw1JVcj1iDi33Z0fAPm2nGS</recordid><startdate>19941201</startdate><enddate>19941201</enddate><creator>Beghi, A.</creator><creator>Lepschy, A.</creator><creator>Viaro, U.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>19941201</creationdate><title>A property of the Routh table and its use</title><author>Beghi, A. ; Lepschy, A. ; Viaro, U.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c335t-e88e6aa51bc9a50d8ebfaf3b9fb82c32f5fc7e071003f607d795f3e261a4991a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Applied sciences</topic><topic>Character generation</topic><topic>Computer science; control theory; systems</topic><topic>Control system analysis</topic><topic>Control theory. Systems</topic><topic>Differential equations</topic><topic>Exact sciences and technology</topic><topic>History</topic><topic>Laplace equations</topic><topic>Polynomials</topic><topic>Robust stability</topic><topic>Robustness</topic><topic>Transfer functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beghi, A.</creatorcontrib><creatorcontrib>Lepschy, A.</creatorcontrib><creatorcontrib>Viaro, U.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Beghi, A.</au><au>Lepschy, A.</au><au>Viaro, U.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A property of the Routh table and its use</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>1994-12-01</date><risdate>1994</risdate><volume>39</volume><issue>12</issue><spage>2494</spage><epage>2496</epage><pages>2494-2496</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. 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| identifier | ISSN: 0018-9286 |
| ispartof | IEEE transactions on automatic control, 1994-12, Vol.39 (12), p.2494-2496 |
| issn | 0018-9286 1558-2523 |
| language | eng |
| recordid | cdi_ieee_primary_362839 |
| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Character generation Computer science control theory systems Control system analysis Control theory. Systems Differential equations Exact sciences and technology History Laplace equations Polynomials Robust stability Robustness Transfer functions |
| title | A property of the Routh table and its use |
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