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Implementation of Taylor models in CORA 2018

https://doi.org/10.29007/zzc7
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/rnc.4590010404openalex-snapshot
Branch and bound algorithm for computing the minimum stability degree of parameter‐dependent linear systems
inferredcites →https://doi.org/10.1007/3-540-07170-9_2openalex-snapshot
A generalized interval arithmetic
inferredcites →https://doi.org/10.1007/978-1-4471-0249-6openalex-snapshot
Applied Interval Analysis
inferredcites →https://doi.org/10.1007/978-1-4613-9092-3_13openalex-snapshot
A Software Tool for Analysis in Function Spaces
inferredcites →https://doi.org/10.1007/978-1-4757-2693-0openalex-snapshot
Ideals, Varieties, and Algorithms
inferredcites →https://doi.org/10.1007/978-3-319-06200-6_9openalex-snapshot
Formally Verified Computation of Enclosures of Solutions of Ordinary Differential Equations
inferredcites →https://doi.org/10.1007/978-3-319-25141-7_2openalex-snapshot
Current Challenges in the Verification of Hybrid Systems
inferredcites →https://doi.org/10.1007/978-3-540-31954-2_37openalex-snapshot
Safety Verification of Hybrid Systems by Constraint Propagation Based Abstraction Refinement
inferredcites →https://doi.org/10.1007/978-3-642-39799-8_18openalex-snapshot
Flow*: An Analyzer for Non-linear Hybrid Systems
inferredcites →https://doi.org/10.1007/bf02240187openalex-snapshot
The centered form and the mean value form—a necessary condition that they yield the range
inferredcites →https://doi.org/10.1007/s002360050103openalex-snapshot
An analysis and implementation of an efficient in-place bucket sort
inferredcites →https://doi.org/10.1007/s10270-012-0295-3openalex-snapshot
Improving the SAT modulo ODE approach to hybrid systems analysis by combining different enclosure methods
inferredcites →https://doi.org/10.1007/s10703-016-0241-zopenalex-snapshot
ModelPlex: verified runtime validation of verified cyber-physical system models
inferredcites →https://doi.org/10.1016/j.nahs.2010.05.010openalex-snapshot
Computing reachable sets for uncertain nonlinear hybrid systems using interval constraint-propagation techniques
inferredcites →https://doi.org/10.1023/b:numa.0000049462.70970.b6openalex-snapshot
Affine Arithmetic: Concepts and Applications
inferredcites →https://doi.org/10.1023/b:numa.0000049478.42605.cfopenalex-snapshot
Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?
inferredcites →https://doi.org/10.1080/00401706.1987.10488304openalex-snapshot
Numerical Recipes: The Art of Scientific Computing
inferredcites →https://doi.org/10.1090/s0025-5718-04-01657-6openalex-snapshot
Directions for computing truncated multivariate Taylor series
inferredcites →https://doi.org/10.1109/rtss.2012.70openalex-snapshot
Taylor Model Flowpipe Construction for Non-linear Hybrid Systems
inferredcites →https://doi.org/10.1109/scan.2006.47openalex-snapshot
VALENCIA-IVP: A Comparison with Other Initial Value Problem Solvers
inferredcites →https://doi.org/10.1109/tcsi.2016.2546389openalex-snapshot
Combined Parametric and Worst Case Circuit Analysis via Taylor Models
inferredcites →https://doi.org/10.1137/050638448openalex-snapshot
On Taylor Model Based Integration of ODEs
inferredcites →https://doi.org/10.1137/0722037openalex-snapshot
Interval Slopes for Rational Functions and Associated Centered Forms
inferredcites →https://doi.org/10.1145/1577190.1577206openalex-snapshot
Rigorous integration of flows and ODEs using taylor models
inferredcites →https://doi.org/10.1145/2461328.2461358openalex-snapshot
Reachability analysis of nonlinear systems using conservative polynomialization and non-convex sets
inferredcites →https://doi.org/10.1145/2968478.2968482openalex-snapshot
Locally optimal reach set over-approximation for nonlinear systems
inferredcites →https://doi.org/10.1287/opre.14.4.699openalex-snapshot
Branch-and-Bound Methods: A Survey
inferredcites →https://doi.org/10.2307/2153591openalex-snapshot
Global Optimization Using Interval Analysis.
inferredcites →https://doi.org/10.23919/fmcad.2017.8102236openalex-snapshot
On sound relative error bounds for floating-point arithmetic
inferredcites →https://doi.org/10.29007/4dcnopenalex-snapshot
ARCH-COMP17 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferredcites →https://doi.org/10.29007/73mbopenalex-snapshot
ARCH-COMP18 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferredcites →https://doi.org/10.29007/b3wropenalex-snapshot
Tool Presentation: Isabelle/HOL for Reachability Analysis of Continuous Systems
inferredcites →https://doi.org/10.29007/v6g4openalex-snapshot
ARCH-COMP17 Category Report: Continuous Systems with Nonlinear Dynamics
inferredcites →https://doi.org/10.29007/w19bopenalex-snapshot
Implementation of Interval Arithmetic in CORA 2016

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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NeuReach: Learning Reachability Functions from Simulations
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Chemical Case Studies in KeYmaera X
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Reachability for Nonsmooth Systems with Lexicographic Jacobians
inferred← citeshttps://doi.org/10.1007/978-3-032-25552-5_9openalex-snapshot
Taylor’s DAgger: Verified Integration for Efficient Imitation-Learning of an MPC
inferred← citeshttps://doi.org/10.1016/j.ejcon.2023.100786openalex-snapshot
Privacy-preserving set-based estimation using partially homomorphic encryption
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.11.759openalex-snapshot
Robust bounded feasibility verification of piecewise affine systems via reachability computations
inferred← citeshttps://doi.org/10.1109/access.2026.3737314openalex-snapshot
Safe Multi-Robot Coordination via VLM–LLM Reasoning and Reachability Analysis
inferred← citeshttps://doi.org/10.1109/cdc40024.2019.9029929openalex-snapshot
Distributed Secure State Estimation Using Diffusion Kalman Filters and Reachability Analysis
inferred← citeshttps://doi.org/10.1109/cdc42340.2020.9304042openalex-snapshot
Lagrangian Reachtubes: The Next Generation
inferred← citeshttps://doi.org/10.1109/cdc49753.2023.10384274openalex-snapshot
Identifying Single-Input Linear System Dynamics from Reachable Sets
inferred← citeshttps://doi.org/10.1109/cdc51059.2022.9992407openalex-snapshot
Maximal Ellipsoid Method for Guaranteed Reachability of Unknown Fully Actuated Systems
inferred← citeshttps://doi.org/10.1109/destion50928.2020.00010openalex-snapshot
Demo: The Neural Network Verification (NNV) Tool
inferred← citeshttps://doi.org/10.1109/iros.2018.8593975openalex-snapshot
Reachset Conformance of Forward Dynamic Models for the Formal Analysis of Robots
inferred← citeshttps://doi.org/10.1109/iros45743.2020.9341122openalex-snapshot
ReachFlow: An Online Safety Assurance Framework for Waypoint-Following of Self-driving Cars
inferred← citeshttps://doi.org/10.1109/lra.2022.3169581openalex-snapshot
CPI: Conservativeness, Permissiveness and Intervention Metrics for Shared Control Evaluation
inferred← citeshttps://doi.org/10.1109/lsens.2020.2981936openalex-snapshot
Topography Relaxation in Determining Unsafe State Intersections for Uncertain CPS
inferred← citeshttps://doi.org/10.1109/memocode63347.2024.00008openalex-snapshot
Safety and Progress Proofs of a Reactive Autonomous Racing Algorithm
inferred← citeshttps://doi.org/10.1109/tcst.2023.3234248openalex-snapshot
Approximating Reachable Sets for Neural Network-Based Models in Real Time via Optimal Control
inferred← citeshttps://doi.org/10.1109/tie.2022.3165293openalex-snapshot
Reachability Analysis Plus Satisfiability Modulo Theories: An Adversary-Proof Control Method for Connected and Autonomous Vehicles
inferred← citeshttps://doi.org/10.1109/tro.2023.3277268openalex-snapshot
Guarantees for Real Robotic Systems: Unifying Formal Controller Synthesis and Reachset-Conformant Identification
inferred← citeshttps://doi.org/10.14232/actacyb.285246openalex-snapshot
Interval-Based Simulation of Zélus IVPs using DynIbex
inferred← citeshttps://doi.org/10.15607/rss.2020.xvi.015openalex-snapshot
Singularity Maps of Space Robots and their Application to Gradient-based Trajectory Planning
inferred← citeshttps://doi.org/10.1609/aaai.v35i13.17340openalex-snapshot
Scalable and Safe Multi-Agent Motion Planning with Nonlinear Dynamics and Bounded Disturbances
inferred← citeshttps://doi.org/10.29007/73mbopenalex-snapshot
ARCH-COMP18 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferred← citeshttps://doi.org/10.29007/7dt2openalex-snapshot
ARCH-COMP20 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferred← citeshttps://doi.org/10.29007/7xf3openalex-snapshot
ARCH-COMP24 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferred← citeshttps://doi.org/10.29007/9xgvopenalex-snapshot
ARCH-COMP20 Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
inferred← citeshttps://doi.org/10.29007/bj1wopenalex-snapshot
ARCH-COMP19 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferred← citeshttps://doi.org/10.29007/kfk9openalex-snapshot
ARCH-COMP21 Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
inferred← citeshttps://doi.org/10.29007/nl86openalex-snapshot
ARCH-COMP23 Category Report: Continuous and Hybrid Systems with Linear Continuous Dynamics
inferred← citeshttps://doi.org/10.29007/ns8popenalex-snapshot
Under the Hood of a Stand-Alone Lagrangian Reachability Tool
inferred← citeshttps://doi.org/10.29007/wfgropenalex-snapshot
ARCH-COMP22 Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
inferred← citeshttps://doi.org/10.29007/x38nopenalex-snapshot
ARCH-COMP23 Category Report: Artificial Intelligence and Neural Network Control Systems (AINNCS) for Continuous and Hybrid Systems Plants
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Stochastic Reachability-Based GPS Spoofing Detection with Chimera Signal Enhancement
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Representation of Polytopes as Polynomial Zonotopes
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