TL;DR
This paper explores conditions under which Lyapunov functions can be discretized to analyze the stability of autonomous differential systems, providing insights into their stability and asymptotic behavior.
Contribution
It introduces new discretization conditions for Lyapunov functions to assess stability in autonomous systems.
Findings
Derived discretization criteria for Lyapunov functions.
Established links between continuous and discrete stability conditions.
Provided theoretical foundations for stability analysis using discretized Lyapunov functions.
Abstract
We investigate discret conditions for stability and asymptotic stability by Lyapunov and the point of equilibrium of autonomous system of differential equations.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Stability and Controllability of Differential Equations · Quantum chaos and dynamical systems