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
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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