Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
751948 | Systems & Control Letters | 2012 | 5 Pages |
Abstract
We consider a class of algebraic Riccati equations arising in the study of positive linear time-delay systems. We show that this class admits diagonal positive definite solutions. This implies that exponentially stable positive linear time-delay systems possess Lyapunpov–Krasovskii functionals of a simple quadratic form. We also show that for this class of equations, the existence of positive-definite solutions is equivalent to a simple spectral condition on the coefficient matrices.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Oliver Mason,