Sequential decomposition of sequential dynamic teams

ii To my parents iii Acknowledgement I entered the Ph.D. program five years ago certain that I wanted to do research in communication and equally certain that I did not want to do anything related to control. I finish my Ph.D. uncertain about the distinction between control and communication and wondering why they are taught separately. I would like to express my sincerely gratitude to my advisor, Professor Demos Teneketzis, for inculcating this unified viewpoint of systems. His experience and unique perspective on the history and philosophy of various areas taught me more than what I could have learnt on my own. I would always cherish the thoughtful and engrossing discussions that I had with him. I am grateful to my thesis committee for their guidance and encouragement. I thank Professor Achilleas Anastasopoulos for showing exciting about my work when I was uncertain about its merit. He helped me understand how real-time communication compares with other results in coding theory and also provided calm and rational advice on numerous occasions. I thank Professor Sandeep Prad-han for helping me explain the practical significance of my work. His insistence on understanding the vague statements in early drafts of my papers resulted in a cleaner exposition of my results. I am grateful to Professor Jeffrey Lagarias for providing various suggestions on improving the presentation of my work. I am also thankful to my other instructors at Michigan, Professors Stéphane Lafortune, Mingyan Liu, Serap Savari, and Kim Winick for enriching my academic experience.