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This paper considers the problem of regulating a dynamical system to equilibria that are defined as solutions of an input- and state-constrained optimization problem. To solve this regulation task, we design a state feedback controller…

Systems and Control · Electrical Eng. & Systems 2023-12-14 Yiting Chen , Liliaokeawawa Cothren , Jorge Cortes , Emiliano Dall'Anese

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Robust imitation learning seeks to mimic expert controller behavior while ensuring stability, but current methods require accurate plant models. Here, robust imitation learning is addressed for stabilizing poorly modeled plants with linear…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Amy K. Strong , Ethan J. LoCicero , Leila Bridgeman

Time-delay systems are an important class of dynamical systems which provide a solid mathematical framework to deal with many application domains of interest ranging from biology, chemical, electrical, and mechanical engineering, to…

Dynamical Systems · Mathematics 2009-03-28 Giordano Pola , Pierdomenico Pepe , Maria D. Di Benedetto , Paulo Tabuada

Feedback optimization has emerged as an effective strategy for steady-state optimization of dynamical systems. By exploiting models of the steady-state input-output sensitivity, methods of this type are often sample efficient, and their use…

Optimization and Control · Mathematics 2025-09-17 Kristian Lindbäck Løvland , Lars Struen Imsland , Bjarne Grimstad

We generalize notions of passivity and dissipativity to fractional order systems. Similar to integer order systems, we show that the proposed definitions generate analogous stability and compositionality properties for fractional order…

Dynamical Systems · Mathematics 2017-06-26 Mohsen Rakhshan , Vijay Gupta , Bill Goodwine

While distributed systems with transfer of processes have become pervasive, methods for reasoning about their behaviour are underdeveloped. In this paper we propose a bisimulation technique for proving behavioural equivalence of such…

Logic in Computer Science · Computer Science 2011-05-09 Adrien Piérard , Eijiro Sumii

In the dynamics of open quantum systems, the interaction with the external environment usually leads to a contraction of the set of reachable states for the system as time increases, eventually shrinking to a single stationary point. In…

Quantum Physics · Physics 2007-09-12 Raffaele Romano

Controller synthesis techniques for continuous systems with respect to temporal logic specifications typically use a finite-state symbolic abstraction of the system. Constructing this abstraction for the entire system is computationally…

Systems and Control · Computer Science 2017-09-28 Kaushik Mallik , Sadegh Esmaeil Zadeh Soudjani , Anne-Kathrin Schmuck , Rupak Majumdar

We consider the problem of zeroing an error output of a nonlinear discrete-time system in the presence of constant exogenous disturbances, subject to hard convex constraints on the input signal. The design specification is formulated as a…

Optimization and Control · Mathematics 2021-05-07 John W. Simpson-Porco

In this paper the stability of a closed-loop cascade control system in the trajectory tracking task is addressed. The considered plant consists of underlying second-order fully actuated perturbed dynamics and the first order system which…

Systems and Control · Electrical Eng. & Systems 2020-02-05 Radosław Patelski , Dariusz Pazderski

In this paper we consider a linear system structured into physically coupled subsystems and propose a decentralized control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states. The…

Systems and Control · Computer Science 2013-02-04 Stefano Riverso , Marcello Farina , Giancarlo Ferrari-Trecate

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous right-hand side differential equation, Krasovskii solutions…

Optimization and Control · Mathematics 2021-12-21 Francesco Ferrante , Frédéric Gouaisbaut , Sophie Tarbouriech

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

We introduce minimal passive physical equivalents of series (damped) elastic actuation (S(D)EA) under closed-loop control to determine the effect of different plant parameters and controller gains on the closed-loop performance of the…

Robotics · Computer Science 2024-10-04 Celal Umut Kenanoglu , Volkan Patoglu

In this paper we investigate a passivity approach to collective coordination and synchronization problems in the presence of quantized measurements and show that coordination tasks can be achieved in a practical sense for a large class of…

Optimization and Control · Mathematics 2013-01-22 Claudio De Persis , Bayu Jayawardhana

This work studies data-driven switched controller design for discrete-time switched linear systems. Instead of having access to the full system dynamics, an initialization phase is performed, during which noiseless measurements of the state…

Optimization and Control · Mathematics 2022-09-13 Jaap Eising , Shenyu Liu , Sonia Martinez , Jorge Cortes

In decentralized systems, branching behaviors naturally arise due to communication, unmodeled dynamics and system abstraction, which can not be adequately captured by the traditional sequencing-based language equivalence. As a finer…

Systems and Control · Computer Science 2011-12-19 Yajuan Sun , Hai Lin , Ben. M. Chen

In this work, we derive dynamic output-feedback controllers that render the closed-loop system externally positive. We begin by expressing the class of discrete-time, linear, time-invariant systems and the class of dynamic controllers in…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Abed AlRahman Al Makdah , Fabio Pasqualetti

The PI control of first-order linear passive systems through a delayed communication channel is revisited in light of the relative stability concept called sigma-stability. Treating the delayed communication channel as a transport PDE, the…

Optimization and Control · Mathematics 2019-11-14 Fernando Castaños , Edgar Estrada , Sabine Mondié , Adrián Ramírez