Article ID Journal Published Year Pages File Type
751948 Systems & Control Letters 2012 5 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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