Welcome to Ellipsoidal Toolbox documentation!

• Introduction
• Ellipsoidal Calculus
  • Basic Notions
  • Operations with Ellipsoids
    • Affine Transformation
    • Geometric Sum
    • Geometric Difference
    • Geometric Difference-Sum
    • Geometric Sum-Difference
    • Intersection of Ellipsoid and Hyperplane
    • Intersection of Ellipsoid and Ellipsoid
    • Intersection of Ellipsoid and Halfspace
    • Checking if one ellipsoid contains another
    • Minimum Volume Ellipsoids
    • Maximum Volume Ellipsoids
• Reachability
  • Basics of Reachability Analysis
    • Systems without disturbances
    • Systems with disturbances
    • Reachability problem
  • Ellipsoidal Method
    • Continuous-time systems
    • Discrete-time systems
• Installation
  • Additional Software
    • CVX
    • MPT
  • Installation and Quick Start
• Implementation
  • Operations with ellipsoids
  • Operations with hyperplanes
  • Operations with ellipsoidal tubes
  • Reachability
  • Properties
  • Visualization
• Examples
  • Ellipsoids vs. Polytopes
  • System with Disturbance
  • Switched System
  • Hybrid System
• Ellipsoid tubes, tubes by instant of time and their projections
  • Ellipsoid tubes
  • Tubes by instant of time
  • Projections of ellipsoid tubes and tubes by instant of time
• Summary and Outlook
• Acknowledgement
• Function Reference
  • ellipsoid
  • hyperplane
  • elltool.conf.Properties
  • elltool.core.GenEllipsoid
  • smartdb.relations.ATypifiedStaticRelation
  • gras.ellapx.smartdb.rels.EllTube
  • gras.ellapx.smartdb.rels.EllTubeProj
  • gras.ellapx.smartdb.rels.EllUnionTube
  • gras.ellapx.smartdb.rels.EllUnionTubeStaticProj
  • elltool.reach.AReach
  • elltool.reach.ReachContinuous
  • elltool.reach.ReachDiscrete
  • elltool.reach.ReachFactory
  • elltool.linsys.ALinSys
  • elltool.linsys.LinSysContinuous
  • elltool.linsys.LinSysDiscrete
  • elltool.linsys.LinSysFactory