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This work explores the trade-off between the number of samples required to accurately build models of dynamical systems and the degradation of performance in various control objectives due to a coarse approximation. In particular, we show…

Optimization and Control · Mathematics 2017-12-01 Stephen Tu , Ross Boczar , Andrew Packard , Benjamin Recht

In this paper, we focus on mitigating the computational complexity in abstraction-based controller synthesis for interconnected control systems. To do so, we provide a compositional framework for the construction of abstractions for…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Adnane Saoud , Pushpak Jagtap , Majid Zamani , Antoine Girard

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

Optimization and Control · Mathematics 2016-09-01 Yinan Li , Jun Liu

A novel method for control of dynamical systems, proposed in the paper, ensures an output signal belonging to the given set at any time. The method is based on a special change of coordinates such that the initial problem with given…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Igor Furtat

We present a method for synthesizing controllers to steer trajectories from an initial set to a target set on a finite time horizon. The proposed control synthesis problem is decomposed into two steps. The first step under-approximates the…

Systems and Control · Computer Science 2018-10-02 He Yin , Andrew Packard , Murat Arcak , Pete Seiler

We introduce an approach for understanding control policies represented as recurrent neural networks. Recent work has approached this problem by transforming such recurrent policy networks into finite-state machines (FSM) and then analyzing…

Machine Learning · Computer Science 2021-07-13 Mohamad H. Danesh , Anurag Koul , Alan Fern , Saeed Khorram

We introduce the family of limited model information control design methods, which construct controllers by accessing the plant's model in a constrained way, according to a given design graph. We investigate the closed-loop performance…

Optimization and Control · Mathematics 2013-01-08 Farhad Farokhi , Cedric Langbort , Karl H. Johansson

Design of optimal distributed linear feedback controllers to achieve a desired aggregate behavior, while simultaneously satisfying state and input constraints, is a challenging but important problem in many applications. System level…

Optimization and Control · Mathematics 2022-11-07 Panagiotis D. Grontas , Michael W. Fisher , Florian Dörfler

The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop…

Optimization and Control · Mathematics 2023-10-18 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the…

Optimization and Control · Mathematics 2021-01-14 Yassine El Gantouh , Said Hadd

Finite-state models of control systems were proposed by several researchers as a convenient mechanism to synthesize controllers enforcing complex specifications. Most techniques for the construction of such symbolic models have two main…

Optimization and Control · Mathematics 2011-10-11 Majid Zamani , Giordano Pola , Manuel Mazo , Paulo Tabuada

We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time invariant models. Models are given as dynamical equations with inputs, evolving over a continuous…

We extend the internal model principle for systems with boundary control and boundary observation, and construct a robust controller for this class of systems. However, as a consequence of the internal model principle, any robust controller…

Optimization and Control · Mathematics 2024-07-16 Jukka-Pekka Humaloja , Mikael Kurula , Lassi Paunonen

Discrete abstractions have become a standard approach to assist control synthesis under complex specifications. Most techniques for the construction of a discrete abstraction for a continuous-time system require time-space discretization of…

Systems and Control · Electrical Eng. & Systems 2021-03-17 Pian Yu , Dimos V. Dimarogonas

We present novel results on the solution of a class of leavable, undiscounted optimal control problems in the minimax sense for nonlinear, continuous-state, discrete-time plants. The problem class includes entry-(exit-)time problems as well…

Optimization and Control · Mathematics 2018-09-05 Gunther Reissig , Matthias Rungger

In Part I, a novel Galerkin-type method for finite dimensional approximations of transfer functions in Hardy space was developed based on approximation by simple poles. In Part II, this approximation is applied to system level synthesis, a…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Michael W. Fisher , Gabriela Hug , Florian Dörfler

In this paper, the finite-time control and bumpless transfer control are investigated for switched systems under asynchronously switching. First, a class of dynamic output feedback controllers are designed to stabilize the switched system…

Systems and Control · Electrical Eng. & Systems 2024-07-29 Mo-Ran Liu , Zhen Wu , Xian Du , Zhongyang Fei

Controller synthesis is a theoretical approach to the systematic design of discrete event systems. It constructs a controller to provide feedback and control to the system, ensuring it meets specified control specifications. Traditional…

Multiagent Systems · Computer Science 2025-09-03 Ruohan Huang , Zining Cao

The finite-time control problem of quantum systems is investigated in this paper. We first define finite-time stability and present a finite-time Lyapunov stability criterion for finite-dimensional quantum systems in coherence vector…

Quantum Physics · Physics 2020-05-27 Sen Kuang , Xiaoke Guan , Daoyi Dong