The Quasimonotonicity of Linear Differential Systems - The Complex Spectrum
Canright, David R.
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The method of vector Lyapunov functions to determine stability in dynamical systems requires that the comparison system be quasimonotone nondecreasing with respect to a cone contained in the nonnegative orthant. For linear comparison systems in Rn with real spectra, Heikkilﾨa solved the problem for n = 2 and gave necessary conditions for n > 2. We previously showed a su_cient condition for n > 2, and here, for systems with complex eigenvalues, we give conditions for which the problem reduces to the nonnegative inverse eigenvalue problem.
The article of record as published may be located at http://dx.doi.org/10.1080/00036810108840984
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