computeAbsErr

computes the abstraction error for a given nonlinear dynamical system and a given terminal region.

Contents

Syntax

absErr = computeAbsErr(obj,dynamics,termRegSet)

Description

This function computes the abstraction error or a given nonlinear dynamical system over a given terminal region based on linearization- [1] or polymonialization-based [2] reachability algorithms.

Input Arguments

obj

instance of class computeTermRegNonlinSysOpt

dynamics

instance of class termRegNonlinSysDynamics

termRegSet

candidate for the terminal region (class: zonotope/polyZonotope)

Output Arguments

absErr

set of abstraction errors (class: interval)

See Also

-

References

[1] M. Althoff et al., "Reachability Analysis of Nonlinear Systems with Uncertain Parameters using Conservative Linearization", IEEE Conference on Decision and Control, 2008, pp. 4042-4048. [2] Matthias Althoff, "Reachability analysis of nonlinear systems using conservative polynomialization and non-convex sets", International conference on Hybrid systems: computation and control, 2013, pp. 173–182.


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