3 papers
math.OC2026
On Integral Linear Constraints on Convex Cones
Emil Vladu, Alexandre Megretski, Anders Rantzer
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 conv…
math.OC2024
Stability and Performance Analysis on Self-dual Cones
Emil Vladu
In this paper, we consider nonsymmetric solutions to certain Lyapunov and Riccati equations and inequalities with coefficient matrices corresponding to cone-preserving dynamical sy…
math.OC2024
A Cone-preserving Solution to a Nonsymmetric Riccati Equation
Emil Vladu, Anders Rantzer
In this paper, we provide the following simple equivalent condition for a nonsymmetric Algebraic Riccati Equation to admit a stabilizing cone-preserving solution: an associated coe…