LifeBelt: Crowd Evacuation Based on Vibro-Tactile Guidance

Ferscha, Alois; Zia, Kashif

doi:10.1109/mprv.2010.83

Cited by 42 publications

(20 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…systems described by non-local dynamics with attractive velocities, see e.g. [39,32,12,4]. Besides, several prominent papers aimed at describing the emergence of patterns which were initially discovered for systems of ODEs in the context of kinetic models described by continuity equations [22,38].…”

Section: Introductionmentioning

confidence: 99%

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

Bonnet

2019

ESAIM: COCV

View full text Add to dashboard Cite

In this paper, we prove a Pontryagin Maximum Principle for constrained optimal control problems in the Wasserstein space of probability measures. The dynamics is described by a transport equation with non-local velocities which are affine in the control, and is subject to end-point and running state constraints. Building on our previous work, we combine the classical method of needle-variations from geometric control theory and the metric differential structure of the Wasserstein spaces to obtain a maximum principle formulated in the so-called Gamkrelidze form.The support of a Borel measure µ ∈ M + (R d ) is defined as the closed set supp(µ) = {x ∈ R d s.t. µ(N ) > 0 for any neighbourhood N of x}. We denote by P c (R d ) ⊂ P(R d ) the set of probability measures with compact support.We say that a sequence (µ n ) ⊂ P(R d ) of Borel probability measures converges narrowly towardsHere C 0 b (R d ) denotes the set of continuous and bounded functions over R d . Remark that the corresponding narrow topology coincides with the restriction to P(R d ) of the weak- * topology in M + (R d ). In the following proposition, we recall a useful convergence property on the measures of Borel sets, usually referred to as the Portmanteau Theorem (see e.g. [7, Proposition 1.62]). Proposition 2.1 (Portmanteau Theorem). Let (µ n ) ⊂ M + (R d ) be a sequence of measures converging in the weak- * topology towards µ ∈ M + (R d ). Then for any Borel set A ⊂ R d such that µ(∂A) = 0, it holds that µ n (A) −→ n→+∞ µ(A).We recall in the following definitions the notion of pushforward of a Borel probability measure through a Borel map, along with that of transport plan.Definition 2.1 (Pushforward of a measure through a Borel map). Given µ ∈ P(R d ) and a Borel mapDefinition 2.2 (Transport plan). Let µ, ν ∈ P(R d ). We say that γ ∈ P(R 2d ) is a transport plan between µ and ν -denoted by γ ∈ Γ(µ, ν) -provided thatfor any pair of Borel sets A, B ⊂ R d . This property can be equivalently formulated in terms of pushforwards by π 1 # γ = µ and π 2 # γ = ν, where the maps π 1 , π 2 : R 2d → R d denote the projection operators on the first and second factor respectively.

show abstract

Section: Introductionmentioning

confidence: 99%

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

Bonnet

2019

ESAIM: COCV

View full text Add to dashboard Cite

show abstract

“…Applications of these problems are of great interest, canonical examples being provided e.g. by the minimal escape time problem for a crowd [3,23] or the enforcement of consensus in a network by minimizing the variance of the opinions (see e.g. [12,13,33]).…”

mentioning

confidence: 99%

The Pontryagin Maximum Principle in the Wasserstein Space

Bonnet

Rossi

2018

Calc. Var.

View full text Add to dashboard Cite

We prove a Pontryagin Maximum Principle for optimal control problems in the space of probability measures, where the dynamics is given by a transport equation with non-local velocity.We formulate this first-order optimality condition using the formalism of subdifferential calculus in Wasserstein spaces. We show that the geometric approach based on needle variations and on the evolution of the covector (here replaced by the evolution of a mesure on the dual space) can be translated into this formalism.

show abstract

“…a mass panic [52]. A pervasive application designed to assist such a user should be aware of (i) user location, (ii) user state of arousal, (iii) user profile and (iv) environmental situation, to provide useful assistance.…”

Section: Exploiting Social Contextmentioning

confidence: 99%

Socio-inspired ICT

Ferscha

Farrahi

Hoven

et al. 2012

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

Abstract. Modern ICT (Information and Communication Technology) has developed a vision where the "computer" is no longer associated with the concept of a single device or a network of devices, but rather the entirety of situated services originating in a digital world, which are perceived through the physical world. It is observed that services with explicit user input and output are becoming to be replaced by a computing landscape sensing the physical world via a huge variety of sensors, and controlling it via a plethora of actuators. The nature and appearance of computing devices is changing to be hidden in the fabric of everyday life, invisibly networked, and omnipresent, with applications greatly being based on the notions of context and knowledge. Interaction with such globe spanning, modern ICT systems will presumably be more implicit, at the periphery of human attention, rather than explicit, i.e. at the focus of human attention. Socio-inspired ICT assumes that future, globe scale ICT systems should be viewed as social systems. Such a view challenges research to identify and formalize the principles of interaction and adaptation in social systems, so as to be able to ground future ICT systems on those principles. This position paper therefore is concerned with the intersection of social behaviour and modern ICT, creating or recreating social conventions and social contexts through the use of pervasive, globe-spanning, omnipresent and participative ICT.

show abstract

LifeBelt: Crowd Evacuation Based on Vibro-Tactile Guidance

Cited by 42 publications

References 12 publications

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems

The Pontryagin Maximum Principle in the Wasserstein Space

Socio-inspired ICT

Contact Info

Product

Resources

About