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Delays are ubiquitous in modern hybrid systems, which exhibit both continuous and discrete dynamical behaviors. Induced by signal transmission, conversion, the nature of plants, and so on, delays may appear either in the continuous…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Yunjun Bai , Ting Gan , Li Jiao , Bican Xia , Bai Xue , Naijun Zhan

Often, when analyzing the behaviour of systems modelled as context-free languages, we wish to know if two languages overlap. To this end, we present an effective semi-decision procedure for regular separability of context-free languages,…

Formal Languages and Automata Theory · Computer Science 2014-11-20 Graeme Gange , Jorge A. Navas , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

In earlier work, we developed an approach for automatic complexity analysis of integer programs, based on an alternating modular inference of upper runtime and size bounds for program parts. In this paper, we show how recent techniques to…

Logic in Computer Science · Computer Science 2022-06-03 Jürgen Giesl , Nils Lommen , Marcel Hark , Fabian Meyer

The combinatorial integral approximation (CIA) is a solution technique for integer optimal control problems. In order to regularize the solutions produced by CIA, one can minimize switching costs in one of its algorithmic steps. This leads…

Optimization and Control · Mathematics 2023-05-23 Felix Bestehorn , Christoph Hansknecht , Christian Kirches , Paul Manns

Massive multiple-input multiple-output (MIMO) is envisioned to offer considerable capacity improvement, but at the cost of high complexity of the hardware. In this paper, we propose a low-complexity hybrid precoding scheme to approach the…

Information Theory · Computer Science 2016-11-17 Le Liang , Wei Xu , Xiaodai Dong

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

We present a hybrid multi-phase page matching algorithm for automated comparison of Japanese building permit document sets. Building permit review in Japan requires cross-referencing large PDF document sets across revision cycles, a process…

Computation and Language · Computer Science 2026-04-23 Mitsumasa Wada

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

We consider the problem of automating the verification of distributed control software relying on publish-subscribe middleware. In this scenario, the main challenge is that software correctness depends intrinsically on correct usage of…

Robotics · Computer Science 2014-11-10 Ali Khalili , Lorenzo Natale , Armando Tacchella

Large Language Models (LLMs) empower recommendation systems through their advanced reasoning and planning capabilities. However, the dynamic nature of user interests and content poses a significant challenge: While initial fine-tuning…

Information Retrieval · Computer Science 2025-10-24 Changping Meng , Hongyi Ling , Jianling Wang , Yifan Liu , Shuzhou Zhang , Dapeng Hong , Mingyan Gao , Onkar Dalal , Ed Chi , Lichan Hong , Haokai Lu , Ningren Han

Uncertainty is unavoidable in modeling dynamical systems and it may be represented mathematically by differential inclusions. In the past, we proposed an algorithm to compute validated solutions of differential inclusions; here we provide…

Numerical Analysis · Mathematics 2020-01-31 Sanja Zivanovic Gonzalez , Pieter Collins , Luca Geretti , Davide Bresolin , Tiziano Villa

We propose an extension of Hybrid I/O Automata (HIOAs) to model agent systems and their implicit communication through perturbation of the environment, like localization of objects or radio signals diffusion and detection. To this end we…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Marta Capiluppi , Roberto Segala

We present an adjoint sensitivity method for hybrid discrete -- continuous systems, extending previously published forward sensitivity methods. We treat ordinary differential equations and differential-algebraic equations of index up to two…

Optimization and Control · Mathematics 2019-04-19 Radu Serban , Antonio Recuero

Low precision arithmetic, in particular half precision floating point arithmetic, is now available in commercial hardware. Using lower precision can offer significant savings in computation and communication costs with proportional savings…

Numerical Analysis · Mathematics 2021-11-16 Eda Oktay , Erin Carson

Modern software systems are often realized by coordinating multiple heterogeneous parts, each responsible for specific tasks. These parts must work together seamlessly to satisfy the overall system requirements. To verify such complex…

Software Engineering · Computer Science 2025-08-19 Tim Kräuter , Adrian Rutle , Yngve Lamo , Harald König , Francisco Durán

A featured transition system is a transition system in which the transitions are annotated with feature expressions: Boolean expressions on a finite number of given features. Depending on its feature expression, each individual transition…

Formal Languages and Automata Theory · Computer Science 2017-02-28 Uli Fahrenberg , Axel Legay

Complex systems typically have many different parts and facets, with different characteristics. In a multi-paradigm approach to modeling, formalisms with different natures are used in combination to describe complementary parts and aspects…

Logic in Computer Science · Computer Science 2013-08-14 Marcello M. Bersani , Carlo A. Furia , Matteo Pradella , Matteo Rossi

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

Optimal control for switch-based dynamical systems is a challenging problem in the process control literature. In this study, we model these systems as hybrid dynamical systems with finite number of unknown switching points and reformulate…

Optimization and Control · Mathematics 2025-05-28 Saif R. Kazi , Kexin Wang , Lorenz T. Biegler

The framework of Hybrid automata, introduced by Alur, Courcourbetis, Henzinger, and Ho, provides a formal modeling and analysis environment to analyze the interaction between the discrete and the continuous parts of cyber-physical systems.…

Formal Languages and Automata Theory · Computer Science 2017-12-20 Shankara Narayanan Krishna , Umang Mathur , Ashutosh Trivedi