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A Course In Functional Analysis

Boundary Value Problems in Physics and Engineering By Frank Chorlton. Pp. 250. (Van Nostrand: London, July 1969.) 70s

Boundary value problems

Transportation research. part c, emerging technologies

A hilbert space problem book

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Metric Spaces Of Non Positive Curvature

Modified Intelligent Driver Model for driver safety and traffic stability improvement

This article describes the problem of model order-reduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. This article investigates two novel approaches to model order-reduction. The first approach consists in evaluating the error approximation performance; the problems are solved using the robust stability results of the switched systems. The second approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. A numerical example shows the effectiveness of the proposed approaches.

Model order-reduction for discrete-time switched linear systems

This paper describes the problem of model orderreduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. The paper investigates a novel method to model reduction. The approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. The error limit depends on the truncated singular values and balanced truncation procedure helps to keep the biggest singular values of the system. A numerical example shows the effectiveness of the proposed approach.

Gramian based approach to model order-reduction for discrete-time switched linear systems

The intelligent Driver Model (IDM) is an Adaptive Cruise Control (ACC) model which is wide used in transportation research. Although implementation simplicity in case of simulation, this model has drawbacks in terms of respect of the vehicle’s capability and driver safety. This paper presents the stateof- the art of the IDM and the applied modifications to overcome its drawbacks.

/pdf/modified-intelligent-driver-model-7y55kw81fm.pdf

Modified Intelligent Driver Model

Mixed traffic denotes the coexistence of two driving styles: human and automated driving. Until now, there has been an ambiguity about the driver's safety in mixed traffic. Traffic safety studies focus on a synthesis of control laws which help drivers to avoid or mitigate collisions. Classic safety descriptors use only the time to collision, a time criterion for safety assessment. Other assess traffic safety through vehicle distance gap. In this paper, the Dwell Time descriptor is extended to evaluate safety from both time and distance criteria. The goal is to assess the impact of automated vehicles on driver safety.

Benjamin Mourllion

Papers

Modified Intelligent Driver Model for driver safety and traffic stability improvement

Model order-reduction for discrete-time switched linear systems

Gramian based approach to model order-reduction for discrete-time switched linear systems

Modified Intelligent Driver Model

Extended safety descriptor measurements for relative safety assessment in mixed road traffic