Abstract
AbstractIt is proved that the elliptic ball criterion is a necessary condition on the matrix M(t) for the linear feedback control equation f(D)x + BM(t)g(D)x = 0 to have a special kind of quadratic Lyapunov function. That it is also a sufficient condition has already been proved elsewhere. These two facts lead to a comparison theorem which enables the existence of a quadratic Lyapunov function for one equation to be deduced from that for another equation.
Publisher
Cambridge University Press (CUP)
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3 articles.
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1. Some elliptic balls which avoid a Nyquist set in ℂn+1;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1978
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