Positive Forms and Stability of Linear Time-Delay Systems

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dc.creatorPeet, Matthew M.
dc.creatorPapachristodoulou, Antonis
dc.creatorLall, Sanjay
dc.date2007-07-02
dc.date.accessioned2026-07-07T08:13:33Z
dc.date.available2026-07-07T08:13:33Z
dc.descriptionWe consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Lyapunov function which is quadratic on the space of continuous functions. We give an explicit parametrization of a sequence of finite-dimensional subsets of the cone of positive Lyapunov functions using positive semidefinite matrices. This allows stability analysis of linear time-delay systems to be formulated as a semidefinite program.
dc.descriptionjournal version, 14 pages
dc.identifierhttps://arxiv.org/abs/0707.0230
dc.identifierhttp://arxiv.org/abs/0707.0230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132804
dc.subjectDynamical Systems
dc.subjectOptimization and Control
dc.titlePositive Forms and Stability of Linear Time-Delay Systems
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