Data Mining Practical Machine Learning Tools and Techniques

Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.

Convergence of Probability Measures

We explore in this chapter questions of existence and uniqueness for solutions to stochastic differential equations and offer a study of their properties. This endeavor is really a study of diffusion processes. Loosely speaking, the term diffusion is attributed to a Markov process which has continuous sample paths and can be characterized in terms of its infinitesimal generator.

Stochastic Differential Equations

Stochastic differential equations and diffusion processes

A review of smart homes-Present state and future challenges

Research of autonomous mobile robots has mostly emphasized interaction and coordination that are natually inspired from biological behavior of birds, insects, and fish: flocking, foraging, collecting, and sharing. However, most research has been only focused on autonomous behaviors in order to perform robots like animals, whereas it is lacked of determinant to those behaviours: energy. Approaching to clusted amimal and the higher, collective and sharing food among individuals are major activity to keep society being. This paper issues an approach to sociable robots using self-maintained energy in cooperative mobile robots, which is dominantly inspired from swarm behavior of collecting and sharing food of honey-bee and ant. Autonomous mobile robots are usually equipped with a finite energy, thus they can operate in a finite time. To overcome the finitude, we describe practical deployment of mobile robots that are capable of carrying and exchanging fuel to other robots. Mechanism implementation including modular hardware and control architecture to demonstrate the capabicities of the approach is presented. Subsequently, the battery exchange algorithm basically based on probabilistic modeling of total energy on each robot located in its local vicinity is described. The paper is concluded with challenging works of chain of mobile robots, rescue, repair, and relation of heterogeneous robots.

https://journals.sagepub.com/doi/pdf/10.5772/5724

Sociable Robots through Self-maintained Energy

Proceedings of the 2006 IEEE International Conference on Control Applications

Stochastic stability of systems with semi-Markovian switching

The paper considers trophallaxis in robot swarms, which is presented as a concept for resource sharing among individuals inspired by altruistic behaviour in natural populations. A number of elementary problems are identified, such as energy containment, robot morphology, rendezvous motion control and individual resource exchange behaviour. The CISSBot is presented as a design study as well as a proof of concept illustrating how a trophallactic exchange mechanism may be implemented based on batteries in commercially available form factor. A collison free proximity motion control is presented and illustrated by numerical simulation results. A probabilistic Markovian model including relevant effects; mobility, charging, battery exchange and energy consumption is presented and illustrated with numerical examples.

Henrik Schiøler

Papers

Sociable Robots through Self-maintained Energy

Proceedings of the 2006 IEEE International Conference on Control Applications

Stochastic stability of systems with semi-Markovian switching

Trophallaxis in robotic swarms - beyond energy autonomy

Proceedings of the 10th International Conference on Control, Automation, Robotics and Vision, ICARCV 2008