Palindromic polynomials, time-reversible systems, and conserved quantities


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

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Description/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.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: June 25-27, 2008
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 266592
Date Deposited: 21 Aug 2008 10:13
Last Modified: 27 Mar 2014 20:12
Further Information:Google Scholar
ISI Citation Count:0
URI: http://eprints.soton.ac.uk/id/eprint/266592

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