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.

Download

[img] PDF Med08.pdf - Version of Record
Download (240kB)

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
Venue - Dates: 16th Mediterranean Conference on Control and Automation, France, 2008-06-25 - 2008-06-27
Organisations: Southampton Wireless Group
ePrint ID: 266592
Date :
Date Event
June 2008Published
Date Deposited: 21 Aug 2008 10:13
Last Modified: 17 Apr 2017 19:01
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/266592

Actions (login required)

View Item View Item