Hybrid Equations Toolbox Help

The Hybrid Equation (HyEQ) Toolbox provides methods in MATLAB and Simulink for computing and plotting numerical solutions to hybrid dynamical systems.

Contents

• Where to Start
• Getting Help
• Table of Contents for HyEQ Toolbox Help

Where to Start

Depending on your prior experience one of the following pages would be a good place to start learning how to use the HyEQ Toolbox.

• If you are unfamiliar with hybrid systems, read Introduction to Hybrid Systems for a brief introduction to the mathematical modeling of hybrid systems.
• For users of HyEQ Toolbox version 2.40 (and earlier versions), see the guide to quickly converting old code to use new features .
• All others should start with the documentation for the HyEQ MATLAB library or the HyEQ Simulink library .

A full list of HyEQ Toolbox help pages is given below.

Getting Help

To learn more about a particular component of the toolbox, execute help [name] or doc [name] in the MATLAB command window, where [name] is the name of a class, function, or package ( help prints a short description and doc opens the documentation page). For example, to learn about HybridSystem , run

help HybridSystem

or

doc HybridSystem

To report a problem, request a feature, or ask for help, submit an issue on our GitHub repository.

Table of Contents for HyEQ Toolbox Help

A list of help topics is given below.

• Introduction to Hybrid Systems

The Hybrid Equations MATLAB Library

The following pages contain introductory guides for how to use the MATLAB-based portion of the Hybrid Equations Toolbox.

• Creating and Simulating Hybrid Systems
• Plotting Hybrid Arcs
• Creating and Simulating Composite Hybrid Subsystems
• Updating Code Designed for HyEQ Toolbox v2.04 to Use v3.0 Features.
• Example: Composite Hybrid System with Zero-order Hold Subsystem.
• Example: Composite Hybrid System with Switched Subsystem.

The Hybrid Equations Simulink Library

The following pages describe how to use the Simulink-based portion of the Hybrid Equations Toolbox.

• Introduction to HyEQ Simulink library.
• Example: Hybrid System with External Functions (Bouncing Ball)
• Example: Hybrid System with Embedded Functions (Bouncing Ball with Input)
• Example: Composing Multiple Hybrid Subsystems (Bouncing Ball on Moving Platform)
• Defining Behavior in the Intersection of C and D
• The Integrator System

Cyber-physical System (CPS) Components

• Introduction to Cyber-physical Component Blocks
• Continuous-time Plant
• Zero-Order Hold (ZOH)
• Analog-to-Digital Converter (ADC)
• Finite State Machine (FSM)

Applications of Hybrid Systems

• Example 1: A Vehicle Following a Path
• Example 2: Synchronization of Two Fireflies
• Example 3: Sample-and-hold Feedback Control
• Example 4: Estimation over a Network

Other

• Package Namespaces in the HyEQ Toolbox
• Change Log
• Credits and Acknowledgements