@article{b81676bf-33da-4c9f-87fb-b13eb706d8b2,
  abstract     = {{<p>In this paper, we consider integral linear constraints and the dissipation inequality with linear supply rates for certain sets of trajectories confined pointwise in time to a convex cone which belongs to a finite-dimensional normed vector space. Such constraints are then shown to be satisfied if and only if a bounded linear functional exists which satisfies a conic inequality. This is analogous to the typical situation in which a quadratic supply rate over the entire space is related to a linear matrix inequality. A connection is subsequently drawn precisely to linear–quadratic control: by proper choice of cone, the main results can be applied to produce a known L<sub>1</sub>-gain analogue to the bounded real lemma in positive systems theory, as well as a non-strict version of the Kalman–Yakubovich–Popov Lemma in linear–quadratic control.</p>}},
  author       = {{Vladu, Emil and Megretski, Alexandre and Rantzer, Anders}},
  issn         = {{0167-6911}},
  keywords     = {{Convex cones; Linear–quadratic control; Positive systems}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Systems and Control Letters}},
  title        = {{On integral linear constraints on convex cones}},
  url          = {{http://dx.doi.org/10.1016/j.sysconle.2026.106509}},
  doi          = {{10.1016/j.sysconle.2026.106509}},
  volume       = {{216}},
  year         = {{2026}},
}