On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters

DOI10.3934/era.2023310OpenAlexW4386627149MaRDI QIDQ6153149

Anatoly Martynyuk, Gani Tr. Stamov, Ivanka M. Stamova, Yulya Martynyuk-Chernienko

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2023310

zbMATH Keywords

stabilityboundednessfuzzy systemsregularization schemematrix Lyapunov functions

Mathematics Subject Classification ID

Fuzzy control/observation systems (93C42) Lyapunov and storage functions (93D30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Practical stability, boundedness criteria and Lagrange stability of fuzzy differential systems
• Stability by Liapunov's direct method. With applications
• Differentials of fuzzy functions
• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• Stability analysis of nonlinear systems
• The Peano theorem for fuzzy differential equations revisited
• Towards the theory of fuzzy differential equations
• Uncertain impulsive functional differential systems of fractional order and almost periodicity
• Robust performance for uncertain systems via Lyapunov functions with higher order terms
• Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions
• Asymptotic equilibrium and stability of fuzzy differential equations
• Stability of uncertain systems using Lyapunov functions with non-monotonic terms
• Stability of motion
• Introduction to Uncertainty Quantification
• UNCERTAIN LINGUISTIC HYBRID GEOMETRIC MEAN OPERATOR AND ITS APPLICATION TO GROUP DECISION MAKING UNDER UNCERTAIN LINGUISTIC ENVIRONMENT
• Uncertain impulsive differential systems of fractional order: almost periodic solutions
• Stability theory of fuzzy differential equations via differential inequalities
• Fuzzy sets
• Cross-Validation for the Uncertain Chapman-Richards Growth Model with Imprecise Observations
• Fuzzy differential equations
• Fuzzy differential equations
• Regularization scheme for uncertain fuzzy differential equations: analysis of solutions

This page was built for publication: On the regularization and matrix Lyapunov functions for fuzzy differential systems with uncertain parameters