Product of Random Stochastic Matrices and Distributed Averaging

• Main Author: Touri, Behrouz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Engineering.; Mathematical statistics.; Probabilities.; Statistical physics.; Dynamical systems.; Statistics.; Control engineering.; Control.; Statistical Physics, Dynamical Systems and Complexity.; Probability Theory and Stochastic Processes.; Probability and Statistics in Computer Science.; Statistical Theory and Methods.

The thesis deals with averaging dynamics in a multiagent networked system, which is a main mechanism for diffusing the information over such networks. It arises in a wide range of applications in engineered physical networks (such as mobile communication and sensor networks), as well as social and e...

Table of Contents:

• Introduction
• Products of Stochastic Matrices and Averaging Dynamics
• Ergodicity of Random Chains
• Infinite Flow Stability
• Implications
• Absolute Infinite Flow Property
• Averaging Dynamics in General State Spaces
• Conclusion and Suggestions for Future Works
• Appendices.