scholarly journals A Review of Hybrid Automata Models

2021 ◽  
Author(s):  
Mohammad Reza Besharati ◽  
Mohammad Izadi
Keyword(s):  
Hybrid Systems ◽  
Formal Model ◽  
Hybrid Automata

In this paper, Hybrid Automata, which is a formal model for hybrid systems, has been introduced. A summary of its theory is presented and some of its special and important classes are listed and some properties that can be studied and checked for it are mentioned. Finally, the purposes of use, the most widely used areas, and the tools that provide H.A. Support are addressed.

Bayesian hybrid automata: Reconciling formal methods with metrology

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Paul Kröger ◽  
Martin Fränzle
Keyword(s):  
System Dynamics ◽  
Hybrid Systems ◽  
Hybrid System ◽  
Formal Model ◽  
Continuous Control ◽  
Hybrid Automata ◽  
Physical Processes ◽  
Natural Domain ◽  
State Tracking ◽  
Smart Technologies

Abstract Hybrid system dynamics arises when discrete actions meet continuous behaviour due to physical processes and continuous control. A natural domain of such systems are emerging smart technologies which add elements of intelligence, co-operation, and adaptivity to physical entities. Various flavours of hybrid automata have been suggested as a means to formally analyse dynamics of such systems. In this article, we present our current work on a revised formal model that is able to represent state tracking and estimation in hybrid systems and thereby enhancing precision of verification verdicts.

scholarly journals Hybrid Automata: An Algorithmic Approach Behavioral Hybrid Systems

2019 ◽  
Vol 6 (2) ◽  
pp. 83-90
Author(s):  
Koteswara Rao Ballamudi
Keyword(s):  
Hybrid Systems ◽  
Brain Research ◽  
Timed Automata ◽  
Point Of View ◽  
Hybrid Automata ◽  
Test Bed ◽  
Algorithmic Approach ◽  
Security Properties ◽  
The Right ◽  
Time Systems

Hybrid automata strategies have advanced as a vital tool to design, check and direct the execution of hybrid systems. Any way they can – and we assume should – be utilized to communicate quantitative models about hybrid systems in different areas, for example, experimental sciences. Since the conventional design of hybrid automata compares well to consecutively integrate behavioral chains in living creatures, we look for a use of hybrid modeling procedures in the social sciences and, particularly, brain research. We attempt to address the question related to how human drivers move onto an expressway and simultaneously utilize this study as our test-bed for utilizing hybrid automata inside behavioral sciences. Hybrid automata give a language to displaying and exploring advanced and simple calculations in real-time systems. Hybrid automata are studied here from a dynamical systems point of view. Essential and adequate conditions for the presence and uniqueness of arrangements are inferred and a class of hybrid automata whose arrangements rely consistently upon the underlying state is described. The outcomes on presence, uniqueness, and progression fill in as a beginning stage for solid study. In this paper, we present the structure of hybrid automata as a model and detailed language for hybrid systems. Hybrid automata can be seen as a theory of timed automata, in which the behavior of factors is represented in each state by a bunch of differential conditions. We show that a large number of the models considered in the workshop can be characterized by hybrid automata. While the reachability issue is undecidable in any event, for extremely confined classes of hybrid automata, we present two semi-decision techniques for checking security properties of piecewise-straight hybrid automata, in which all factors change at steady rates. The two techniques are based, individually, on limiting and figuring fix points on for the most part endless state spaces. We show that if the end of the method, at that point they offer the right responses. We then show that for a significant number of the run of the mill workshop models, the strategies do end and hence give an algorithmic approach to confirming their properties.

scholarly journals Approximate Equivalence of the Hybrid Automata with Taylor Theory

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Anping He ◽  
Jinzhao Wu ◽  
Shihan Yang ◽  
Hongyan Tan
Keyword(s):  
Hybrid System ◽  
Equivalence Relation ◽  
Formal Model ◽  
Reachability Analysis ◽  
Hybrid Automata ◽  
Hybrid Automaton ◽  
Taylor Approximation ◽  
Computational Processes ◽  
Simulation Relation

Hybrid automaton is a formal model for precisely describing a hybrid system in which the computational processes interact with the physical ones. The reachability analysis of the polynomial hybrid automaton is decidable, which makes theTaylorapproximation of a hybrid automaton applicable and valuable. In this paper, we studied the simulation relation among the hybrid automaton and its Taylor approximation, as well as the approximate equivalence relation. We also proved that the Taylor approximation simulates its original hybrid automaton, and similar hybrid automata could be compared quantitatively, for example, the approximate equivalence we proposed in the paper.

scholarly journals PARAMETRIC VERIFICATION AND TEST COVERAGE FOR HYBRID AUTOMATA USING THE INVERSE METHOD

2013 ◽  
Vol 24 (02) ◽  
pp. 233-249 ◽  
Author(s):  
LAURENT FRIBOURG ◽  
ULRICH KÜHNE
Keyword(s):  
Hybrid Systems ◽  
Hybrid System ◽  
Inverse Method ◽  
Timed Automata ◽  
Test Coverage ◽  
Hybrid Automata ◽  
System Verification

Hybrid systems combine continuous and discrete behavior. Hybrid Automata are a powerful formalism for the modeling and verification of such systems. A common problem in hybrid system verification is the good parameters problem, which consists in identifying a set of parameter valuations which guarantee a certain behavior of a system. Recently, a method has been presented for attacking this problem for Timed Automata. In this paper, we show the extension of this methodology for hybrid automata with linear and affine dynamics. The method is demonstrated with a hybrid system benchmark from the literature.

Event-B Hybridation

2021 ◽  
Vol 20 (4) ◽  
pp. 1-37
Author(s):  
Guillaume Dupont ◽  
Yamine Ait-Ameur ◽  
Neeraj Kumar Singh ◽  
Marc Pantel
Keyword(s):  
Hybrid Systems ◽  
Autonomous Vehicles ◽  
Formal Proof ◽  
Generic Model ◽  
Continuous Variables ◽  
Hybrid Automata ◽  
Sensors And Actuators ◽  
Development Environment ◽  
Discrete State ◽  
Formal Framework

Hybrid systems are complex systems where a software controller interacts with a physical environment, usually named a plant, through sensors and actuators. The specification and design of such systems usually rely on the description of both continuous and discrete behaviours. From complex embedded systems to autonomous vehicles, these systems became quite common, including in safety critical domains. However, their formal verification and validation as a whole is still a challenge. To address this challenge, this article contributes to the definition of a reusable and tool supported formal framework handling the design and verification of hybrid system models that integrate both discrete (the controller part) and continuous (the plant part) behaviours. This framework includes the development of a process for defining a class of basic theories and developing domain theories and then the use of these theories to develop a generic model and system-specific models. To realise this framework, we present a formal proof tool chain, based on the Event-B correct-by-construction method and its integrated development environment Rodin, to develop a set of theories, a generic model, proof processes, and the required properties for designing hybrid systems in Event-B. Our approach relies on hybrid automata as basic models for such systems. Discrete and continuous variables model system states and behaviours are given using discrete state changes and continuous evolution following a differential equation. The proposed approach is based on refinement and proof using the Event-B method and the Rodin toolset. Two case studies borrowed from the literature are used to illustrate our approach. An assessment of the proposed approach is provided for evaluating its extensibility, effectiveness, scalability, and usability.

scholarly journals Limit Cycle Analysis in a Class of Hybrid Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Antonio Favela-Contreras ◽  
Francisco Beltrán-Carbajal ◽  
Alejandro Piñón ◽  
Angelo Raimondi
Keyword(s):  
Hybrid Systems ◽  
Limit Cycle ◽  
Initial Conditions ◽  
Mathematical Formulation ◽  
System Model ◽  
Hybrid Automata ◽  
Continuous Linear ◽  
Hybrid Automaton ◽  
Discrete State ◽  
Linear Hybrid Automata

Hybrid systems are those that inherently combine discrete and continuous dynamics. This paper considers the hybrid system model to be an extension of the discrete automata associating a continuous evolution with each discrete state. This model is called the hybrid automaton. In this work, we achieve a mathematical formulation of the steady state and we show a way to obtain the initial conditions region to reach a specific limit cycle for a class of uncoupled and coupled continuous-linear hybrid systems. The continuous-linear term is used in the sense of the system theory and, in this sense, continuous-linear hybrid automata will be defined. Thus, some properties and theorems that govern the hybrid automata dynamic behavior to evaluate a limit cycle existence have been established; this content is explained under a theoretical framework.

Hybrid Automata-Based CEGAR for Rectangular Hybrid Systems

2013 ◽  
pp. 48-67 ◽  
Author(s):  
Pavithra Prabhakar ◽  
Parasara Sridhar Duggirala ◽  
Sayan Mitra ◽  
Mahesh Viswanathan
Keyword(s):  
Hybrid Systems ◽  
Hybrid Automata

scholarly journals Modelling, analysis and control design of hybrid dynamical systems

2019 ◽  
Vol 70 (3) ◽  
pp. 176-186
Author(s):  
Dominik Vošček ◽  
Anna Jadlovská ◽  
Dominik Grigl’ák
Keyword(s):  
Hybrid Systems ◽  
Piecewise Linear ◽  
Control Design ◽  
Linear Quadratic Regulator ◽  
Cyber Physical Systems ◽  
Jacobi Matrices ◽  
Hybrid Automata ◽  
Linear Quadratic ◽  
Physical Systems ◽  
And Control

Abstract This paper introduces a methodology for one of the challenges regarding cyber-physical systems, ie modelling and control design them as hybrid systems. The proposed methodology comprises modules with specific steps to accomplish the tasks. Specifically, the paper aims to utilize hybrid systems framework onto the chosen hydraulic hybrid system with complex dynamics to showcase different aspects of hybrid systems. The mathematical model was derived using hybrid automata framework and then transformed into the linear form either using Jacobi matrices or using linear approximations without Jacobi matrices. After that the system was validated and analysed and the control design utilizing piecewise linear-quadratic regulator optimal control was proposed. Furthermore, parameters of control algorithm were tuned using particle swarm optimization algorithm. The whole logic, system dynamics and constrains are implemented within MATLAB/Simulink simulation environment using s -functions. The proposed methodology can be implemented on the various types of cyber-physical systems as far as they can be described as hybrid systems.

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