Set propagation techniques for reachability analysis

M Althoff, G Frehse, A Girard - Annual Review of Control …, 2021 - annualreviews.org
Reachability analysis consists in computing the set of states that are reachable by a
dynamical system from all initial states and for all admissible inputs and parameters. It is a …

Formal verification of analog and mixed signal designs: A survey

MH Zaki, S Tahar, G Bois - Microelectronics journal, 2008 - Elsevier
Analog and mixed signal (AMS) designs are an important part of embedded systems that
link digital designs to the analog world. Due to challenges associated with its verification …

A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games

IM Mitchell, AM Bayen, CJ Tomlin - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
We describe and implement an algorithm for computing the set of reachable states of a
continuous dynamic game. The algorithm is based on a proof that the reachable set is the …

Efficient iterative linear-quadratic approximations for nonlinear multi-player general-sum differential games

D Fridovich-Keil, E Ratner, L Peters… - … on robotics and …, 2020 - ieeexplore.ieee.org
Many problems in robotics involve multiple decision making agents. To operate efficiently in
such settings, a robot must reason about the impact of its decisions on the behavior of other …

Breach, a toolbox for verification and parameter synthesis of hybrid systems

A Donzé - … Aided Verification: 22nd International Conference, CAV …, 2010 - Springer
Abstract We describe Breach, a Matlab/C++ toolbox providing a coherent set of simulation-
based techniques aimed at the analysis of deterministic models of hybrid dynamical …

Computational techniques for the verification of hybrid systems

CJ Tomlin, I Mitchell, AM Bayen… - Proceedings of the …, 2003 - ieeexplore.ieee.org
Hybrid system theory lies at the intersection of the fields of engineering control theory and
computer science verification. It is defined as the modeling, analysis, and control of systems …

Approximate reachability analysis of piecewise-linear dynamical systems

E Asarin, O Bournez, T Dang, O Maler - International workshop on hybrid …, 2000 - Springer
In this paper we describe an experimental system called d/dt for approximating reachable
states for hybrid systems whose continuous dynamics is defined by linear differential …

Efficient computation of reachable sets of linear time-invariant systems with inputs

A Girard, C Le Guernic, O Maler - … , HSCC 2006, Santa Barbara, CA, USA …, 2006 - Springer
This work is concerned with the problem of computing the set of reachable states for linear
time-invariant systems with bounded inputs. Our main contribution is a novel algorithm …

Computational techniques for hybrid system verification

A Chutinan, BH Krogh - IEEE transactions on automatic control, 2003 - ieeexplore.ieee.org
This paper concerns computational methods for verifying properties of polyhedral invariant
hybrid automata (PIHA), which are hybrid automata with discrete transitions governed by …

DryVR: Data-Driven Verification and Compositional Reasoning for Automotive Systems

C Fan, B Qi, S Mitra, M Viswanathan - International Conference on …, 2017 - Springer
We present the DryVR framework for verifying hybrid control systems that are described by a
combination of a black-box simulator for trajectories and a white-box transition graph …