A generalization of the Gronwall-Bellman lemma
G. A. Grigorian
TL;DR
This paper extends the Gronwall-Bellman lemma using Riccati equations, providing a broader framework that also generalizes Lyapunov's results for stability analysis.
Contribution
It introduces a novel generalization of the Gronwall-Bellman lemma via Riccati equations, expanding its applicability in stability theory.
Findings
Generalized Gronwall-Bellman lemma derived
Extended Lyapunov stability results
Applicable to broader classes of differential inequalities
Abstract
The Riccati equation method is used to obtain a generalization of the Gronvall-Bellman lemma the obtained result is used to generalize a result of Lyapunov.
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Taxonomy
TopicsControl and Stability of Dynamical Systems · Aquatic and Environmental Studies · Guidance and Control Systems