Asymptotic stability of two-dimensional continuous Roesser models with singularities at the stability boundary

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 A^TP+AP = Q with a positive definite block diagonal matrix P = P^T 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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