- Title
- Asymptotic stability of two-dimensional continuous Roesser models with singularities at the stability boundary
- Creator
- Knorn, Steffi; Middleton, Richard H.
- Relation
- 51st IEEE Annual Conference on Decision and Control (CDC 2012). Proceedings of the 51st IEEE Annual Conference on Decision and Control (Maui, HI 10-13 December, 2012) p. 7787-7792
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2012.6426968
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2012
- Description
- It is shown that the existence of a negative semidefinite solution Q of the Lyapunov equation ATP+AP = Q with a positive definite block diagonal matrix P = PT together with simple additional conditions is sufficient to guarantee asymptotic stability. The stability conditions presented can be used to study a wider range of dynamical systems, including systems with singularities at the stability boundary, which cannot be exponentially stable.
- Subject
- asymptotic stability; stability criteria; thermal stability; continuous time systems; symmetric matrices; amplitude modulation
- Identifier
- http://hdl.handle.net/1959.13/1340532
- Identifier
- uon:28507
- Identifier
- ISBN:9781467320665
- Language
- eng
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