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• W3216962774 abstract "We derive sufficient conditions for strict dissipativity for optimal control of linear evolution equations on Hilbert spaces with a cost functional including linear and quadratic terms. We show that strict dissipativity with a particular storage function is equivalent to ellipticity of a Lyapunov-like operator. Further we prove under a spectral decomposition assumption of the underlying generator and an orthogonality condition of the resulting subspaces that this ellipticity property holds under a detectability assumption. We illustrate our result by means of an example involving a heat equation on a one-dimensional domain." @default.
• W3216962774 created "2021-12-06" @default.
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• W3216962774 date "2021-01-01" @default.
• W3216962774 modified "2023-10-18" @default.
• W3216962774 title "Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems" @default.
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• W3216962774 doi "https://doi.org/10.1016/j.ifacol.2021.11.094" @default.
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