The Quasimonotonicity of Linear Differential Systems -The Complex Spectrum
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, Heikkil a solved the problem for n = 2 and gave necessary conditions for n > 2. We previously showed a sufficient 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 12, 2001
- Accession Number
- ADA486943
Entities
People
- D. Canright
- P. Beaver
Organizations
- Naval Postgraduate School