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Spatially-distributed coverage optimization and control with limited-range interactions

Jorge Cortés, Sonia Martínez, Francesco Bullo (2010)

ESAIM: Control, Optimisation and Calculus of Variations

This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing or communication radius. Based on the geometry of Voronoi partitions and proximity graphs, we analyze a class of aggregate objective functions and propose coverage algorithms in continuous and discrete time. These algorithms have convergence guarantees and are spatially distributed with...

Spatiotemporal Dynamics in a Spatial Plankton System

R. K. Upadhyay, W. Wang, N. K. Thakur (2010)

Mathematical Modelling of Natural Phenomena

In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both one and two dimensional system in details and found out a condition for diffusive instability of a locally stable equilibrium. Furthermore, we present a theoretical analysis of processes of pattern formation that involves organism distribution and their interaction of spatially...

Specific differential equations for generating pulse sequences.

Toma, Ghiocel (2010)

Mathematical Problems in Engineering

Spectral properties of weakly almost periodic cosine functions

Valentina Casarino (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The spectral structure of the infinitesimal generator of a strongly continuous cosine function of linear bounded operators is investigated, under assumptions on the almost periodic behaviour of applications generated, in various ways, by C. Moreover, a first approach is presented to the analysis of connection between cosine functions and dynamical systems.

Spin-stabilized spacecrafts: analytical attitude propagation using magnetic torques.

Garcia, Roberta Veloso, Zanardi, Maria Cecília F.P.S., Kuga, Hélio Koiti (2009)

Mathematical Problems in Engineering

Spreadability, Vulnerability and Protector Control

A. Bernoussi (2010)

Mathematical Modelling of Natural Phenomena

In this work, we present some concepts recently introduced in the analysis and control of distributed parameter systems: Spreadability, vulnerability and protector control. These concepts permit to describe many biogeographical phenomena, as those of pollution, desertification or epidemics, which are characterized by a spatio-temporal evolution

Stabilité des systèmes à commutations du plan

Ugo Boscain, Grégoire Charlot, Mario Sigalotti (2009/2010)

Séminaire de théorie spectrale et géométrie

Soient $X$ et $Y$ deux champs de vecteurs lisses sur $ℝ^{2}$ globalement asymptotiquement stables à l’origine. Nous donnons des conditions nécessaires et des conditions suffisantes sur la topologie de l’ensemble des points où $X$ et $Y$ sont parallèles pour pouvoir assurer la stabilité asymptotique globale du système contrôlé non linéaire non autonome $\dot{q} (t) = u (t) X (q (t)) + (1 - u (t)) Y (q (t))$ où le contrôle $u$ est une fonction mesurable arbitraire de $[0, + \infty [$ dans ${0, 1}$ . Les conditions données ne nécessitent aucune intégration ou construction d’une fonction de Lyapunov...