Controllability of Populations: The Competitive Exclusion Principle

Michael G. Waldon, Gilmer L. Blankenship


Abstract: Necessary conditions for coexistence of competitive species described by a simple model of population growth and resource exploitation are derived using controllability and observability conditions for time-varying linear systems. The “competitive exclusion principle” of ecological theory follows from these conditions.


IEEE Transactions on Automatic Control, 1980, AC-25(1):96-97.