OnPositiveQuadratic Forms and theStability of Linear Time-DelaySystems
نویسندگان
چکیده
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that stability implies that there exists a quadratic Lyapunov function on the state space, although this is in general infinite dimensional. We give an explicit parametrization of a finite-dimensional subset of the cone of Lyapunov functions using positive semidefinite matrices. This allows the computation to be formulated as a semidefinite program.
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