- 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
- Publisher copy:
- 10.1109/CDC.2007.4434664
-
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- Pages:
- 4019-4024
- Publication date:
- 2007
- DOI:
- ISSN:
-
0191-2216
- URN:
-
uuid:1b4fad9e-61db-4d97-87dd-2b0460c41931
- Source identifiers:
-
64635
- Local pid:
- pubs:64635
- ISBN:
- 978-1-4244-1497-0
- Copyright date:
- 2007
Conference
Positivity of kernel functions for systems with communication delay
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