Abstract
The stability of the solution to a periodically time-varying equation can depend critically upon very small changes in its parameters. Moreover, unlike constant coefficient equations, the dependence of stability upon a particular parameter can be complicated in that there are often ranges of parameter values for which a periodic system is unstable, separated by regions of stability. As a result, the problem of stability of periodically time-varying systems has received detailed attention in the past, especially for systems of second order. Additionally, many applications involving Hill equations rely principally upon stability and to a lesser extent upon the actual forms of solution, thereby adding to the interest shown in this aspect of parametric behaviour.
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© 1983 Springer-Verlag Berlin, Heidelberg
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Richards, J.A. (1983). Stability. In: Analysis of Periodically Time-Varying Systems. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81873-8_4
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DOI: https://doi.org/10.1007/978-3-642-81873-8_4
Publisher Name: Springer, Berlin, Heidelberg
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