Simultaneous attainability of central lyapunov and bohl exponents for ode linear systems
Robert E. Vinograd
- Vol. 88, Iss: 4, pp 595-601
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In this article, the accessibility theorem for the central Lyapunov exponent of a linear ODE system is extended to simultaneous attainability of both central and Bohl exponents.Abstract:
Millionkikov's Accessibility Theorem for the central Lyapunov exponent of a linear ODE system is extended to simultaneous attainability of both central Lyapunov and Bohl exponents. 1. Letread more
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Journal ArticleDOI
Alternative formulae for lower general exponent of discrete linear time-varying systems
TL;DR: This paper considers the so-called junior lower general exponent of discrete linear time-varying system and presents some alternative formulae for it and discusses relations between lower Bohl exponents of the perturbed system and junior lowergeneral exponent of the unperturbed system.
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On the number of upper Bohl exponents for diagonal discrete time-varying linear system
TL;DR: In this article, the upper Bohl exponents of the diagonal discrete time-varying linear system were investigated and some new properties of the upper exponents were presented, which are the most important numerical properties of dynamical systems used in control theory.
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About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems
TL;DR: This paper shows the example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of upper Bohl exponents of solutions may be greater than dimension of the system.
Proceedings ArticleDOI
About the number of the lower Bohl exponents of diagonal discrete linear time-varying systems
TL;DR: Some new properties of the lower Bohl exponents of the diagonal discrete time-varying linear system of dynamical systems used in control theory are investigated.
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Exact boundaries of mobility of the Lyapunov, Perron and Bohl exponents of linear difference systems under small perturbations of the coefficient matrices
TL;DR: In this article, the exact boundaries of Lyapunov, Perron, upper and lower Bohl exponents for linear difference systems under small perturbations of the coefficients matrices were obtained.