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Robots are used increasingly often in safety-critical scenarios, such as robotic surgery or human-robot interaction. To ensure stringent performance criteria, formal controller synthesis is a promising direction to guarantee that robots…

Robotics · Computer Science 2023-09-13 Stefan B. Liu , Bastian Schürmann , Matthias Althoff

Reactive synthesis is an automated procedure to obtain a correct-by-construction reactive system from a given specification. GR(1) is a well-known fragment of linear temporal logic (LTL) where synthesis is possible using a polynomial…

Software Engineering · Computer Science 2016-02-04 Shahar Maoz , Jan Oliver Ringert

Classic distributed control problems have an interesting dichotomy: they are either trivial or undecidable. If we allow the controllers to fully synchronize, then synthesis is trivial. In this case, controllers can effectively act as a…

Logic in Computer Science · Computer Science 2011-11-15 Doron Peled , Sven Schewe

In many applications, the integrals and derivatives of signals carry valuable information (e.g., cumulative success over a time window, the rate of change) regarding the behavior of the underlying system. In this paper, we extend the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Ali Tevfik Buyukkocak , Derya Aksaray , Yasin Yazıcıoğlu

This paper deals with designing a robust fixed-order dynamic output feedback controller for uncertain fractional order linear time invariant (FO-LTI) systems by means of linear matrix inequalities (LMIs). Our purpose is to design a low…

Optimization and Control · Mathematics 2018-02-22 Pouya Badri , Mahdi Sojoodi

The chaotic dynamics of fractional order systems begin to attract much attentions in recent years. In this brief report, we study the master-slave synchronization of fractional order chaotic systems. It is shown that fractional order…

Chaotic Dynamics · Physics 2009-11-10 Chunguang Li , Xiaofeng Liao , Juebang Yu

Current state-of-the-art correct-by-design controllers are designed for full-state measurable systems. This work first extends the applicability of correct-by-design controllers to partially observable LTI systems. Leveraging 2nd order…

Systems and Control · Computer Science 2015-09-14 Sofie Haesaert , Paul M. J. Van den Hof , Alessandro Abate

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms, it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of…

Logic in Computer Science · Computer Science 2015-07-01 Sumit Nain , Yoad Lustig , Moshe Y Vardi

Discrete fractional order chaotic systems extends the memory capability to capture the discrete nature of physical systems. In this research, the memristive discrete fractional order chaotic system is introduced. The dynamics of the system…

Chaotic Dynamics · Physics 2019-03-21 Samuel T. Ogunjo , Ibiyinka A. Fuwape

The generation of synthetic data is an essential tool to study complex systems, allowing for example to test models of these in precisely controlled settings, or to parametrize simulation models when data is missing. This paper focuses on…

Applications · Statistics 2019-11-25 Juste Raimbault

The aim of this work is to introduce the main concepts of Fractional Calculus, followed by one of its application to classical electrodynamics, illustrating how non-locality can be interpreted naturally in a fractional scenario. In…

Numerical Analysis · Mathematics 2021-08-31 André Persechino

Manufacturing is transitioning from a mass production model to a manufacturing as a service model in which manufacturing facilities 'bid' to produce products. To decide whether to bid for a complex, previously unseen product, a…

Artificial Intelligence · Computer Science 2018-07-13 Giuseppe De Giacomo , Brian Logan , Paolo Felli , Fabio Patrizi , Sebastian Sardina

This chapter presents some numerical methods to solve problems in the fractional calculus of variations and fractional optimal control. Although there are plenty of methods available in the literature, we concentrate mainly on approximating…

Optimization and Control · Mathematics 2014-05-19 Shakoor Pooseh , Ricardo Almeida , Delfim F. M. Torres

This paper aims to synthesize a reachability controller for an unknown dynamical system. We first learn the unknown system using Gaussian processes and the (probabilistic) guarantee on the learned model. Then we use the funnel-based…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Sandeep Gorantla , Jeel Chatrola , Jay Bhagiya , Adnane Saoud , Pushpak Jagtap

We consider the basic features of complex dynamic and control systems, including systems having hierarchical structure. Special attention is paid to the problems of design and synthesis of complex systems and control models, and to the…

Computational Engineering, Finance, and Science · Computer Science 2008-12-25 Armen Bagdasaryan

This work presents a theoretical formalism and the corresponding numerical techniques to obtain the approximation of fractional-order operators over a 1D domain via the smoothed particle hydrodynamics (SPH) method. The method is presented…

Numerical Analysis · Mathematics 2025-05-08 Khashayar Ghorbani , Fabio Semperlotti

We consider low-order controller design for large-scale linear time-invariant dynamical systems with inputs and outputs. Model order reduction is a popular technique, but controllers designed for reduced-order models may result in unstable…

Optimization and Control · Mathematics 2018-03-20 Peter Benner , Tim Mitchell , Michael L. Overton

In component-based program synthesis, the synthesizer generates a program given a library of components (functions). Existing component-based synthesizers have difficulty synthesizing loops and other control structures, and they often…

Programming Languages · Computer Science 2018-11-27 Kensen Shi , Jacob Steinhardt , Percy Liang

This paper is concerned with a linear fractional representation approach to the synthesis of linear coherent quantum controllers for a given linear quantum plant. The plant and controller represent open quantum harmonic oscillators and are…

Quantum Physics · Physics 2017-03-23 Arash Kh. Sichani , Ian R. Petersen

Given the advances in reactive synthesis, it is a natural next step to consider more complex multi-process systems. Distributed synthesis, however, is not yet scalable. Compositional approaches can be a game changer. Here, the challenge is…

Logic in Computer Science · Computer Science 2022-08-15 Bernd Finkbeiner , Noemi Passing