Conference item
Positivity of kernel functions for systems with communication delay
- Abstract:
- The purpose of this paper is to provide further results on a method of constructing Lyapunov functionals for infinite-dimensional systems using semidefinite programming. Specifically, we give a necessary and sufficient condition for positivity of a positive integral operator described by a polynomial kernel. We then show how to combine this result with multiplier operators in order to obtain positive composite Lyapunov functionals. These types of functionals are used to prove stability of linear time-delay systems. © 2007 IEEE.
- Publication status:
- Published
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- Publisher copy:
- 10.1109/CDC.2007.4434664
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Bibliographic Details
- Pages:
- 4019-4024
- Host title:
- PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
- Publication date:
- 2007-01-01
- DOI:
- ISSN:
-
0191-2216
- Source identifiers:
-
64635
- ISBN:
- 9781424414970
Item Description
- Pubs id:
-
pubs:64635
- UUID:
-
uuid:1b4fad9e-61db-4d97-87dd-2b0460c41931
- Local pid:
- pubs:64635
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2007
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