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On the Lyapunov exponents of triangular discrete time‐varying systems

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  • Adam Czornik
  • Thai Son Doan

Abstract

In this paper, we present upper and lower estimates for the Lyapunov exponents of discrete linear systems with triangular time‐varying coefficients. These estimates are expressed by the diagonal elements of the coefficient matrix. As a conclusion from these estimates, we also obtain bounds for the Grobman regularity coefficient.

Suggested Citation

  • Adam Czornik & Thai Son Doan, 2025. "On the Lyapunov exponents of triangular discrete time‐varying systems," Mathematische Nachrichten, Wiley Blackwell, vol. 298(3), pages 976-997, March.
    • Handle: RePEc:bla:mathna:v:298:y:2025:i:3:p:976-997
    DOI: 10.1002/mana.202300373
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