Plenary Lecture

Multi-Agent Linear Systems with Noise. Solving Decoupling Problem

Professor Maria Isabel Garcia-Planas
Department of Applied Mathematics
Universitat Politecnica de Catalunya

Abstract: Dynamical multi-agent systems are being extensively studied by researchers in the field of control theory. It is due to the multi-agents appear in different study subjects as for example in the consensus problem of communication networks, formation control of mobile robots or cooperative control of unmanned aerial vehicles.The disturbance decoupling problem for linear dynamical systems with noise was the starting point for the development of a geometric approach to systems theory. The problem consists in that the disturbance not interfere with the solution of the linear dynamical system; in other words, to find a compensator such that the closed loop transfer matrix from disturbance to output is 0. Several multiagents linear systems are affected by noises, nevertheless almost all the existing results in consensus problem, do not take into account the effects of these noises. The goal of this paper is to advance in the study of the consensus problems under noise disturbances using linear algebra techniques.

Brief Biography of the Speaker: Professor Dr. Maria Isabel Garcia-Planas joined the Department of Applied Mathematics at the “Universitat Politecnica de Catalunya” Barcelona, Spain in 1981. Her work had been centered on Linear Algebra, Systems and Control Theory. She has authored over a hundred papers and serves on the referee on several scientific journals. She has been plenary Speaker in several WSEAS International Multi-Conferences as well to Europment.

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