Generalization of the Perron effect whereby the characteristic exponents of all solutions of two differential systems change their sign from negative to positive

DOI10.1134/S0012266111070032zbMath1238.34105MaRDI QIDQ642027

N. A. Izobov, Sergey K. Korovin

Publication date: 25 October 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsstability perturbations of ODE

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

Multidimensional analog of the two-dimensional Perron effect of sign change of characteristic exponents for infinitely differentiable differential systems ⋮ On the Baire classification of positive characteristic exponents in the Perron effect of change of their values ⋮ Infinite version of the Perron value change effect for characteristic exponents of differential systems ⋮ Finite-dimensional Perron effect of change of all values of characteristic exponents of differential systems ⋮ Multidimensional Perron sign change effect for all characteristic exponents of differential systems

Cites Work

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• The Perron effect of change of values of characteristic exponents for solutions of differential systems
• On the Perron sign change effect for Lyapunov characteristic exponents of solutions of differential systems
• On some approaches to the simultaneous stabilization of linear plants by a controller of a given structure
• A remark on the simultaneous \(\alpha \)-stabilization of linear plants
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS

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