2020/06/19 by Souma Mazumdar, Mazumdar, Souma
Computer Science · Engineering · #49K35 #49L20 #Distributed Control Multi-Agent Systems #FOS: Mathematics #Guidance and Control Systems #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems
paper · pdf · doi:10.48550/arxiv.2006.11196
openalex publication_date 2020/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An interrelationship between Game Theory and Control Theory is seeked. In this respect two aspects of this relationship are brought up. To establish the direct relationship Control Based Games and to establish the inverse relationship Game Based Control are discussed. In the attempt to establish the direct relationship Control Based Boolean Networks are discussed with the novel technique of application of Semi Tensor Product of matrices in Differential Calculus. For the inverse relationship H Infinity robust optimal control has been discussed with the help of Dynamic Programming and Pontryagin Minimization Principle.