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In this paper, we present novel convex optimization formulations for designing full-state and output-feedback controllers with sparse actuation that achieve user-specified $\mathcal{H}_2$ and $\mathcal{H}_\infty$ performance criteria. For…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Vedang M. Deshpande , Raktim Bhattacharya

Finite-time optimal feedback control for flow networks under information constraints is studied. By utilizing the framework of multi-parametric linear programming, it is demonstrated that when cost/constraints can be modeled or approximated…

Systems and Control · Computer Science 2019-09-24 Saeid Jafari , Ketan Savla

We develop a novel frequency-based H-infinity control method for a large class of infinite-dimensional Linear-Time-Invariant systems in transfer function form. Major benefits of our approach is that reduction or identification techniques…

Optimization and Control · Mathematics 2017-12-18 P. Apkarian , D. Noll

We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The first-order optimality condition for a state-space reduced…

Optimization and Control · Mathematics 2025-10-17 Michael Kartmann , Stefan Volkwein

We study whether optimal state-feedback laws for a family of heterogeneous Multiple-Input, Multiple-Output (MIMO) Linear Time-Invariant (LTI) systems can be captured by a single learned controller. We train one transformer policy on…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Turki Bin Mohaya , Maitham F. AL-Sunni , John M. Dolan , Peter Seiler

We consider a distributed optimal control problem subject to a parabolic evolution equation as constraint. The control will be considered in the energy norm of the anisotropic Sobolev space $[H_{0;,0}^{1,1/2}(Q)]^\ast$, such that the state…

Numerical Analysis · Mathematics 2025-02-14 Richard Löscher , Michael Reichelt , Olaf Steinbach

The value of plant model information available in the control design process is discussed. We design optimal state-feedback controllers for interconnected discrete-time linear systems with stochastically-varying parameters. The parameters…

Optimization and Control · Mathematics 2013-12-05 Farhad Farokhi , Karl H. Johansson

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

Optimization and Control · Mathematics 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

This paper characterizes the solution to a finite horizon min-max optimal control problem where the system is linear and discrete-time with control and state constraints, and the cost quadratic; the disturbance is negatively costed, as in…

Optimization and Control · Mathematics 2017-10-13 D. Q. Mayne , S. V. Rakovic , R. B. Vinter , E. C. Kerrigan

This paper gives a new solution to the output feedback H2 problem for quadratically invariant communication delay patterns. A characterization of all stabilizing controllers satisfying the delay constraints is given and the decentralized H2…

Systems and Control · Computer Science 2014-10-09 Andrew Lamperski , John C. Doyle

This paper addresses finite-time horizon optimal control of single-loop networked control systems with stochastically modeled communication channel and disturbances. To cope with the uncertainties, an optimization-based control scheme is…

Optimization and Control · Mathematics 2021-05-10 Jannik Hahn , Olaf Stursberg

We study deterministic, discrete linear time-invariant systems with infinite-horizon discounted quadratic cost. It is well-known that standard stabilizability and detectability properties are not enough in general to conclude stability…

Optimization and Control · Mathematics 2025-09-04 Jonathan de Brusse , Jamal Daafouz , Mathieu Granzotto , Romain Postoyan , Dragan Nesic

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

Systems and Control · Computer Science 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

In this article, we study the linear time-invariant state-feedback controller design problem for distributed systems. We follow the recently developed system level synthesis (SLS) approach and impose locality structure on the resulting…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Emily Jensen , Bassam Bamieh

We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown…

Optimization and Control · Mathematics 2020-05-12 Liam S. P. Lawrence , John W. Simpson-Porco , Enrique Mallada

We study high-dimensional stochastic optimal control problems in which many agents cooperate to minimize a convex cost functional. We consider both the full-information problem, in which each agent observes the states of all other agents,…

Probability · Mathematics 2023-01-10 Joe Jackson , Daniel Lacker

Information encoded in networks of stationary, interacting spin-1/2 particles is central for many applications ranging from quantum spintronics to quantum information processing. Without control, however, information transfer through such…

Quantum Physics · Physics 2018-07-31 Sophie G Schirmer , Edmond Jonckheere , Frank C Langbein

In this paper, we propose a sparsity-promoting feedback control design for stochastic linear systems with multiplicative noise. The objective is to identify a sparse control architecture that optimizes the closed-loop performance while…

Optimization and Control · Mathematics 2022-08-22 Yi Guo , Ognjen Stanojev , Gabriela Hug , Tyler Summers

In this paper, we propose a minimax linear-quadratic control method to address the issue of inaccurate distribution information in practical stochastic systems. To construct a control policy that is robust against errors in an empirical…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Kihyun Kim , Insoon Yang

Distributed linear control design is crucial for large-scale cyber-physical systems. It is generally desirable to both impose information exchange (communication) constraints on the distributed controller, and to limit the propagation of…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Jing Yu , Yuh-Shyang Wang , James Anderson