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This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

Optimization and Control · Mathematics 2025-12-18 Jorge I. Poveda , Andrew R. Teel

We present an algorithm of control synthesis for nonlinear switched systems, based on an existing procedure of state-space bisection and made available for nonlinear systems with the help of validated simulation. The use of validated…

Systems and Control · Computer Science 2016-11-22 Adrien Le Coënt , Julien Alexandre Dit Sandretto , Alexandre Chapoutot , Laurent Fribourg

The connected vehicle technology is a remarkable trend in the field of the intelligent transportation system. Since the actual deployment of the connected vehicle system is still lacking hitherto, simulation is widely adopted as the major…

Systems and Control · Computer Science 2018-09-07 Weitong Zhang , Shuai Liu , Daoya Yao

The mathematical framework of hybrid system is a recent and general tool to treat control systems involving control action of heterogeneous nature. In this paper, we construct and test a semi-Lagrangian numerical scheme for solving the…

Numerical Analysis · Mathematics 2016-08-03 Roberto Ferretti , Achille Sassi

With an increasing use of data-driven models to control robotic systems, it has become important to develop a methodology for validating such models before they can be deployed to design a controller for the actual system. Specifically, it…

Systems and Control · Computer Science 2018-03-28 Somil Bansal , Shromona Ghosh , Alberto Sangiovanni-Vincentelli , Sanjit A. Seshia , Claire J. Tomlin

The problem of finding a finite state symbolic model which is bisimilar to a hybrid dynamical system (HDS) and has the minimum number of states is considered. The considered class of HDS allows for discrete-valued inputs that only affect…

Systems and Control · Computer Science 2014-09-02 Babak Tavassoli

Approximate simulation, an extension of simulation relations from formal methods to continuous systems, is a powerful tool for hierarchical control of complex systems. Finding an approximate simulation relation between the full "concrete"…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Vince Kurtz , Patrick M. Wensing , Hai Lin

Parametric timed automata are a powerful formalism for reasoning on concurrent real-time systems with unknown or uncertain timing constants. Reducing their state space is a significant way to reduce the inherently large analysis times. We…

Formal Languages and Automata Theory · Computer Science 2022-12-12 Étienne André , Dylan Marinho , Laure Petrucci , Jaco van de Pol

The complexity and accuracy of current and future precision cosmology observational campaigns has made it essential to develop an efficient technique for directly combining simulation and observational datasets to determine cosmological and…

Astrophysics · Physics 2009-11-11 Katrin Heitmann , David Higdon , Charles Nakhleh , Salman Habib

We present a verification methodology for analysing the decision-making component in agent-based hybrid systems. Traditionally hybrid automata have been used to both implement and verify such systems, but hybrid automata based modelling,…

Logic in Computer Science · Computer Science 2013-10-10 Louise A. Dennis , Michael Fisher , Nicholas K. Lincoln , Alexei Lisitsa , Sandor M. Veres

This work introduces the empirical cross gramian for multiple-input-multiple-output systems. The cross gramian is a tool for reducing the state space of control systems, which conjoins controllability and observability information into a…

Optimization and Control · Mathematics 2016-08-22 Christian Himpe , Mario Ohlberger

The combination of theory and simulation is necessary in the investigation of properties of complex systems where each method alone cannot do the task properly. Theory needs simulation to test ideas and to check approximations. Simulation…

Statistical Mechanics · Physics 2015-06-17 Hung T. Diep , Virgile Bocchetti , Danh-Tai Hoang , V. Thanh Ngo

This paper is the first part of a project devoted to studying the interconnection between controllability properties of a dynamical system and the large-time asymptotics of trajectories for the associated stochastic system. It is proved…

Classical Analysis and ODEs · Mathematics 2018-03-07 Armen Shirikyan

Traditionally, the delay margin of a looped system is computed by considering both the controller and system representations that evolve in the same space (e.g. either continuous or discrete-time). However, as in practice the system is…

Systems and Control · Computer Science 2018-11-30 V. Bellet , C. Poussot-Vassal , C. Pagetti , T. Loquen

Systematic application of software metric techniques can lead to significant improvements of the quality of a final software product. However, there is still the evident lack of wider utilization of software metrics techniques and tools due…

Software Engineering · Computer Science 2013-11-18 Gordana Rakic , Zoran Budimac

A joint characterisation of the observability and controllability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to…

Discrete Mathematics · Computer Science 2010-06-23 Amparo Fúster-Sabater , J. M. Guillén

A density matrix approach is developped for the control of a mixed-state quantum system using a time-dependent external field such as a train of pulses. This leads to the definition of a target density matrix constructed in a reduced…

Quantum Physics · Physics 2007-05-23 D. Sugny , A. Keller , O. Atabek , D. Daems , C. M. Dion , S. Guérin , H. R. Jauslin

A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The problems of well-posedness and stability of the resulting hybrid dynamical system are…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Alfonso Baños , Antonio Barreiro

A new systematic strategy for steering the distillation process for a quantum system, that utilizes the so-called "pulsed" and "continuous" measurements on another quantum system in interaction with the former, is proposed. The distillation…

Quantum Physics · Physics 2018-07-24 B. Militello , H. Nakazato , A. Messina

Coupled models are set to become increasingly important in all aspects of science and engineering as tools with which to study complex systems in an integrated manner. Such coupled, hybrid simulations typically communicate data between the…

Computational Physics · Physics 2009-11-11 P. V. Coveney , G. De Fabritiis , M. J. Harvey , S. M. Pickles , A. R. Porter