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Palindromic polynomials, time-reversible systems, and conserved quantities

Markovsky, Ivan and Rao, Shodhan (2008) Palindromic polynomials, time-reversible systems, and conserved quantities At 16th Mediterranean Conference on Control and Automation, France. 25 - 27 Jun 2008.

Record type: Conference or Workshop Item (Paper)

Abstract

The roots of palindromic and antipalindromic polynomials appear in pairs (s,1/s). A polynomial with such roots is antipalindromic if and only if in addition, it has a root at 1 of an odd multiplicity. The result has applications in system theory: 1) any kernel representation of a discrete-time, time-reversible, scalar, autonomous LTI system is either palindromic or antipalindromic. (Similar statement holds for systems with inputs.) 2) LTI systems with palindromic or antipalindromic kernel representations have nontrivial conserved quantities.

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More information

Published date: June 2008
Additional Information: Event Dates: June 25-27, 2008
Venue - Dates: 16th Mediterranean Conference on Control and Automation, France, 2008-06-25 - 2008-06-27
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 266592
URI: http://eprints.soton.ac.uk/id/eprint/266592
PURE UUID: 1599219f-7da1-4716-ba4c-7bd49ed20a17

Catalogue record

Date deposited: 21 Aug 2008 10:13
Last modified: 18 Jul 2017 07:15

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Contributors

Author: Ivan Markovsky
Author: Shodhan Rao

University divisions

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