Abstract
The formalization of mathematical stability theory is generally traced to the classic paper Maxwell (1868). The problem is this: given a system of linear time-invariant, differential (or difference) equations, find a characterization for the asymptotic stability of all solutions. This problem reduces to finding conditions on a given polynomial that guarantee that all its zeros, i.e., roots, lie in the open left half-plane (or open unit disk).
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© 2012 Springer Science+Business Media, LLC
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Fuhrmann, P.A. (2012). Stability. In: A Polynomial Approach to Linear Algebra. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0338-8_9
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DOI: https://doi.org/10.1007/978-1-4614-0338-8_9
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