On Positive Forms and the Stability of Linear Time-Delay Systems
نویسندگان
چکیده
This paper presents a time-domain approach to stability analysis of linear time-delay systems using positive quadratic forms. We show that positivity of these forms is equivalent to certain convex constraints on the functions which define them. These results are then combined with recent developments in polynomial optimization to construct a nested sequence of sufficient conditions for stability which are expressible as semidefinite programs and which are of non-decreasing accuracy. We also address the case of parametric uncertainty and uncertain delay.
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