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We propose an abstraction-based model checking method which relies on refinement of an under-approximation of the feasible behaviors of the system under analysis. The method preserves errors to safety properties, since all analyzed…

Computer Science and Game Theory · Computer Science 2017-01-11 Corina S. Pasareanu , Radek Pelanek , Willem Visser

We consider nonconforming methods for symmetric elliptic problems and characterize their quasi-optimality in terms of suitable notions of stability and consistency. The quasi-optimality constant is determined and the possible impact of…

Numerical Analysis · Mathematics 2017-10-11 Andreas Veeser , Pietro Zanotti

The synthesis of adaptive gain-scheduling controller is discussed for continuous-time linear models characterized by polytopic uncertainties. The proposed approach computes the control law assuming the parameters as uncertain and adaptively…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Ariany C. Oliveira , Victor C. S. Campos , Leonardo. A. Mozelli

The focus of this paper is on the co-design of control and communication protocol for the control of multiple applications with unknown parameters using a distributed embedded system. The co-design consists of an adaptive switching…

Optimization and Control · Mathematics 2012-08-22 Harald Voit , Anuradha Annaswamy

In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms.…

Optimization and Control · Mathematics 2023-08-29 Alexey Peregudin , Igor Furtat

Classically, a control loop is designed to be executed strictly periodically. This is, however, difficult to achieve in many scenarios, for example, when overload or packet loss cannot be entirely avoided. Here, weakly-hard real-time…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Maximilian Gaukler , Tim Rheinfels , Peter Ulbrich , Günter Roppenecker

Integrating diverse formalisms into modular knowledge representation systems offers increased expressivity, modeling convenience and computational benefits. We introduce concepts of abstract modules and abstract modular systems to study…

Artificial Intelligence · Computer Science 2013-12-24 Yuliya Lierler , Miroslaw Truszczynski

The # component model was proposed to improve the practice of parallel programming. This paper introduces a type system for # programming systems, aiming to lift the abstraction and safety of programming for parallel computing architectures…

Programming Languages · Computer Science 2009-05-22 Francisco Heron de Carvalho-Junior , Rafael Dueire Lins

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak

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

The possibility that a short-range interacting system exhibits nonadditivity is investigated. After the discussion on the precise definition of additivity and its consequence, we show that it is possible when the system is in a…

Statistical Mechanics · Physics 2015-06-19 Takashi Mori

Translating continuous control system models into finite automata allows us to use powerful discrete tools to synthesize controllers for complex specifications. The abstraction construction step is unfortunately hamstrung by high runtime…

Systems and Control · Computer Science 2018-07-27 Eric S. Kim , Murat Arcak

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

This paper explores transverse coordinates for the purpose of orbitally stabilizing periodic motions of nonlinear, control-affine dynamical systems. It is shown that the dynamics of any (minimal or excessive) set of transverse coordinates,…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Christian Fredrik Sætre , Anton Shiriaev

In this paper, we establish a relation between approximate-simulation-based hierarchical control (ASHC) and moment matching techniques, and build a conceptual bridge between these two frameworks. To this end, we study the two key…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Zirui Niu , Mohammad Fahim Shakib , Giordano Scarciotti

We introduce $(\gamma,\delta)$-similarity, a notion of system comparison that measures to what extent two stable linear dynamical systems behave similarly in an input-output sense. This behavioral similarity is characterized by measuring…

Optimization and Control · Mathematics 2023-12-20 Armin Pirastehzad , Arjan van der Schaft , Bart Besselink

In this paper, we study stabilizability of discrete-time switched linear systems where the switching signal is considered as an arbitrary disturbance (and not a control variable). We characterize feedback stabilization via necessary and…

Optimization and Control · Mathematics 2025-06-05 Thiago Alves Lima , Matteo Della Rossa , Antoine Girard

We consider the relational characterisation of branching bisimilarity with explicit divergence. We prove that it is an equivalence and that it coincides with the original definition of branching bisimilarity with explicit divergence in…

Logic in Computer Science · Computer Science 2008-12-17 Rob van Glabbeek , Bas Luttik , Nikola Trcka

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

Probabilistic automata constitute a versatile and elegant model for concurrent probabilistic systems. They are equipped with a compositional theory supporting abstraction, enabled by weak probabilistic bisimulation serving as the reference…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Andrea Turrini , Holger Hermanns
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