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 and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 266592 |
| Date Deposited: | 21 Aug 2008 10:13 |
| Last Modified: | 01 Mar 2012 17:41 |
| Contributors: | Markovsky, Ivan (Author) Rao, Shodhan (Author) |
| Date: | June 2008 |
| Additional Information: | Event Dates: June 25-27, 2008 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 0 |
| URI: | http://eprints.soton.ac.uk/id/eprint/266592 |
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