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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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 > Southampton Wireless Group
ePrint ID: 266592
Accepted Date and Publication Date:
June 2008Published
Date Deposited: 21 Aug 2008 10:13
Last Modified: 31 Mar 2016 14:13
Further Information:Google Scholar

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