Title :
LTI continuous time consensus dynamics with multiple and distributed delays
Author :
Somarakis, Christoforos ; Baras, John S.
Abstract :
We study linear time invariant (LTI) continuous time consensus dynamics in the presence of bounded communication delays. Contrary to traditional Lyapunov based methods, we approach the problem using Fixed Point Theory. This method, allows us to create an appropriate complete functional metric space and through contraction mappings to establish the existence and uniqueness of a solution of this model. We explore the case of constant as well as distributed delays.
Keywords :
continuous time systems; delays; linear systems; network theory (graphs); LTI continuous time consensus dynamics; Lyapunov based methods; bounded communication delays; constant delays; contraction mappings; distributed delays; fixed point theory; functional metric space; linear time invariant continuous time consensus dynamics; solution existence; solution uniqueness; Convergence; Delays; Extraterrestrial measurements; Laplace equations; Mathematical model; Vectors;
Conference_Titel :
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location :
Chania
Print_ISBN :
978-1-4799-0995-7
DOI :
10.1109/MED.2013.6608919
