Algebra of Systems

A mathematical structure that inherits ideas from graph models and algebraic manipulations. It was developed into a computable metalanguage for designing practical systems, such as engineered products, service offerings, and educational approaches (Extreme Learning Process ). The original application was to design mission modes for the space exploration missions. It can also be used to automatically encode, enumerate, and evaluate the differences and compute performance metrics of computationally generated systems.

References

• B. Koo, A Metalanguage of Systems Architecting, January 2005, Doctoral Thesis, MIT
• B. Koo, W. Simmons, E. Crawley, Algebra of Systems: A Metalanguage for Model Synthesis and Evaluation, IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS—PART A: SYSTEMS AND HUMANS, VOL. 39, NO. 3, MAY 2009

• Brendan Fong, The Algebra of Open and Interconnected Systems, Doctoral Thesis Oxford University, 2016
• C. Mahmoudi, H. Bilil, Griffor, The Algebra of Systems and System Interactions with an Application to Smart Grid Handbook of System Safety and Security : Cyber Risk and Risk Management, Cyber Security, Threat Analysis, Functional Safety, Software Systems, and Cyber Physical Systems, ISBN: 0-12-803773-3; 1-78684-989-5