Markovsky, Ivan and Rao, Shodhan
Palindromic polynomials, time-reversible systems, and conserved quantities
At 16th Mediterranean Conference on Control and Automation, France.
25 - 27 Jun 2008.
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.
Conference or Workshop Item
||Event Dates: June 25-27, 2008
|Venue - Dates:
||16th Mediterranean Conference on Control and Automation, France, 2008-06-25 - 2008-06-27
||Southampton Wireless Group
||21 Aug 2008 10:13
||17 Apr 2017 19:01
|Further Information:||Google Scholar|
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