The infinite-dimensional dissipation inequality

Timo Reis

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arXiv · 2508.18436

The infinite-dimensional dissipation inequality

Timo Reis

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Abstract

We study the dissipativity of linear infinite-dimensional systems with respect to a prescribed quadratic supply rate functional. We characterize this property via an operator inequality that also yields the system's dissipation rate. We also derive implications for the linear-quadratic optimal control problem on the nonnegative real half-line.

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Timo Reis. 2025-08-25. The infinite-dimensional dissipation inequality. https://arxiv.org/abs/2508.18436

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