Time delay systems with distribution dependent dynamics

General delay dynamical systems in which uncertainty is present in the form of probability measure dependent dynamics are considered. Several motivating examples arising in biology are discussed. A functional analytic framework for investigating well–posedness (existence, uniqueness and continuous dependence of solutions), inverse problems, sensitivity analysis and approximations of the measures for computational purposes is surveyed.

• Type: Journal
• Year: 2007
• Where: ARC
• Authors: H. T. Banks, Sava Dediu, Hoan K. Nguyen
• Keywords: ARC 2007, Functional Analytic Framework, Hardware, Probability Measure, Several Motivating Examples