Sampled-Data Reachability Analysis Using Sensitivity and Mixed-Monotonicity

Sampled-data reachability analysis using sensitivity and mixed-monotonicity

This paper deals with the over-approximation of the reachable sets of a continuous-time uncertain system based on the sensitivity of its trajectories with respect to initial conditions and uncertain parameters. We first prove the equivalence between an existing over-approximation result based on the sign-stability of the sensitivity matrices and a discrete-time approach relying on a mixed-monot...

Ensuring Safety of Nonlinear Sampled Data Systems through Reachability

In sampled data systems the controller receives periodically sampled state feedback about the evolution of a continuous time plant, and must choose a constant control signal to apply between these updates; however, unlike purely discrete time models the evolution of the plant between updates is important. In contrast, for systems with nonlinear dynamics existing reachability algorithms—based on...

Sensitivity and Stability Radius in Data Envelopment Analysis

Mixed two-stage derivative estimator for sensitivity analysis

In mathematical modeling, determining most influential parameters on outputs is of major importance. Thus, sensitivity analysis of parameters plays an important role in model validation. We give detailed procedure of constructing a new derivative estimator for general performance measure in Gaussian systems. We will take advantage of using score function and measure-value derivative estimators ...

An Analysis of Network Reachability Using BGP Data

Though there have been extensive studies on AS and ISP level topologies, BGP path stability and overall path variations and churn, there is comparatively little data on the behavior of overall reachability in the Internet. We can explain reachability as a measure of path robustness over time, and thus as a significant measure of the general quality of the infrastructure. Our results show that B...