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.

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 Reachability Analysis of Transformer-Isolated DC-DC Converters

10.29007/8xk7 ◽  
2018 ◽  
Author(s):  
Omar Beg ◽  
Ali Davoudi ◽  
Taylor T. Johnson
Keyword(s):  
Design Process ◽  
Reachability Analysis ◽  
User Needs ◽  
Switching Converters ◽  
Hybrid Automata ◽  
Hybrid Automaton ◽  
Input And Output ◽  
Source Transformation ◽  
Mission Critical ◽  
Forward Converters

Various mission-critical applications necessarily require a transformer in switching converters to obtain DC isolation between the converters’ input and output. Since DC-DC converters are the switching devices, these are modeled as hybrid automata. We present hybrid automaton modeling of two main types of transformer isolated DC-DC converters, namely, flyback and forward converters. We have also catered the non-determinism for both. We use HyST (Hybrid Source Transformation) tool to automatically generate the models in SpaceEx format, perform reachability analysis, and then automatically convert the models into Mathworks Simulink Stateflow (SLSF) using HyST. Thus we demonstrate effectiveness of HyST tool in the model-based design process. The HyST user needs not to manually construct or modify the models thus saving significant amount of time and efforts.

scholarly journals Formalizing metabolic-regulatory networks by hybrid automata

2019 ◽  
Author(s):  
Lin Liu ◽  
Alexander Bockmayr
Keyword(s):  
Transcriptional Regulation ◽  
Regulatory Network ◽  
Regulatory Networks ◽  
Discrete Control ◽  
Hybrid Automata ◽  
Hybrid Automaton ◽  
Metabolic System ◽  
Computational Approaches ◽  
Cellular Processes ◽  
Dynamic Interplay

AbstractComputational approaches in systems biology have become a powerful tool for understanding the fundamental mechanisms of cellular metabolism and regulation. However, the interplay between the regulatory and the metabolic system is still poorly understood. In particular, there is a need for formal mathematical frameworks that allow analyzing metabolism together with dynamic enzyme resources and regulatory events. Here, we introduce a metabolic-regulatory network model (MRN) that allows integrating metabolism with transcriptional regulation, macromolecule production and enzyme resources. Using this model, we show that the dynamic interplay between these different cellular processes can be formalized by a hybrid automaton, combining continuous dynamics and discrete control.

scholarly journals Benchmark: DC-to-DC Switched-Mode Power Converters (Buck Converters, Boost Converters, and Buck-Boost Converters)

10.29007/23pm ◽  
2018 ◽  
Author(s):  
Luan Viet Nguyen ◽  
Taylor T Johnson
Keyword(s):  
Power Converters ◽  
Continuous Variables ◽  
Hybrid Automata ◽  
Hybrid Automaton ◽  
Correct Operation ◽  
Loop Control ◽  
Boost Converters ◽  
Linear Ordinary Differential Equations ◽  
Unified Modeling ◽  
Future Challenges

Power electronics represent a large and important class of hybrid systems, as modern digital computers and many other systems rely on their correct operation. In this benchmark description, we model three DC-to-DC switched-mode power converters as hybrid automata with continuous dynamics specified by linear ordinary differential equations. A DC-to-DC converter transforms a DC source voltage from one voltage level to another utilizing switches toggled at some (typically kilohertz) frequency with some duty cycle. The state of this switch gives rise to the locations of the hybrid automaton, and the continuous variables are currents and voltages. The main contributions of this benchmark description include: (a) unified modeling of three types of converters as a hybrid automaton with two locations and differing continuous dynamics, and (b) a basic benchmark generator that allows for simulation of these converters in Simulink/Stateflow and reachability analysis in SpaceEx. Future challenges for these benchmark classes include closed-loop control, where the speeds of plant and controller dynamics differ by orders of magnitude.

Ariadne: Dominance Checking of Nonlinear Hybrid Automata Using Reachability Analysis

2012 ◽  
pp. 79-91 ◽  
Author(s):  
Luca Benvenuti ◽  
Davide Bresolin ◽  
Pieter Collins ◽  
Alberto Ferrari ◽  
Luca Geretti ◽  
...  
Keyword(s):  
Reachability Analysis ◽  
Hybrid Automata ◽  
Nonlinear Hybrid

scholarly journals Modeling and Simulation Based on the Hybrid System of Leasing Equipment Optimal Allocation

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Ying Tian ◽  
Wei-qing Zhong
Keyword(s):  
Optimal Control ◽  
Hybrid System ◽  
Performance Optimization ◽  
Optimal Allocation ◽  
Basic Structure ◽  
Control Methods ◽  
Hybrid Automata ◽  
Simulating Calculation ◽  
Optimization And Simulation ◽  
Optimal Control Methods

Modeling of the hybrid system of leasing equipment optimal allocation and its optimal control methods are put forward based on the hybrid characteristics of succession and dispersion. After studying equipment unit’s hybrid automata model (the hybrid and basic structure), the hybrid system facing manufacture demand can be considered as the synthesis of some hybrid and basic structures, which efficiently avoid combination explosion of models due to the increase of systematic scale. On this basis, we study the hybrid and optimal control methods that meet the demand for some equipment and achieve the usage rate maximization. Following that, calculating methods of performance optimization and simulation are put forward based on the first- and second-order subsection linear model. At last, we also have made the numerical simulating calculation on the equipment’s optimal matching of some leasing company.

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