On Numerical Solutions of Sampled-Data Control Systems via Differential LMI Optimization

Preprint Sep 2026

Sampled-data optimal control of linear fractional-order systems

This paper studies the problem of optimal control of Caputo linear fractional-order systems of order $\alpha \in (0, 1]$ with continuous-time state constraints and input constraints. The resulting problems are semi-infinite, since the state constraints are imposed over the sampling intervals and not merely at the sampl...

P. Sopasakis · 0 citations

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Preprint Sep 2026

Feedback Stabilization for Sampled Linear Systems with Control-linear Noise

In this paper, we consider linear stochastic systems with control-linear noise and periodically sampled measurements. We address the problem of feedback stabilization in the mean-square sense. The main contribution of the paper is to provide a necessary and sufficient condition for feedback stabilization. In particular...

Cynthia Cheng, Xu-Dong Chen · 0 citations

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Preprint Sep 2026

Discrete-time feedback linearization control for nonsmooth constrained optimization

We propose a discrete-time feedback linearization control approach to solve nonsmooth linearly constrained composite optimization problems. By using proximal operators, we construct a dynamical system whose equilibria correspond to the stationary points of the optimization problem. Interpreting the Lagrange multipliers...

V. Cerone, Sophie M. Fosson, Simone Pirrera et al. · 0 citations

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Open access Oct 2026

Exploiting Input Redundancy for High‐Performance Discrete‐Time LQR Control

This paper investigates the linear quadratic regulator (LQR) problem for discrete‐time linear systems with redundant inputs. Under stabilizability and detectability assumptions, two monotonically decreasing sequences of upper bounds are derived for the stabilizing positive semidefinite solution of the discrete‐time a...

Fu-Ying Tang, Jian-Zhou Liu, Qing-Wen Wang · Asian journal of control · 0 citations

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Preprint Aug 2026

Stochastic Robust Linear W-infinity Control via Dynamic Output Feedback

This paper introduces a robust W-infinity optimal control framework for linear It\^o diffusions using a weighted Sobolev-space performance measure. Because the sample paths of It\^o diffusions are nondifferentiable, the formulation leverages the weak derivative of the expected state. An LMI-based semidefinite program i...

D. Cardoso, Guilherme V. Raffo · 0 citations

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Preprint Sep 2026

A Continuous-Time Generalization of the LPV Fundamental Lemma

Controller design for physical systems directly from data is of tremendous interest in both the industry and academia. However, the research on direct data-driven control has thus far mainly focused on discrete-time linear time-invariant systems. To make the highly non-trivial step to continuous-time nonlinear systems,...

Philipp Schmitz, Chris Verhoek · 0 citations

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