The Quasimonotonicity of Linear Differential Systems - The Complex Spectrum
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Authors
Beaver, P.
Canright, David R.
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Date of Issue
2002
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Abstract
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.
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The article of record as published may be located at http://dx.doi.org/10.1080/00036810108840984
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Applied Mathematics
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Applicable Analysis / Volume 80, 127-131
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This 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.