Attractivity and Stability Analysis of Uncertain Differential Systems

DOI10.1142/S0218127415500224zbMath1309.93039OpenAlexW2150715139MaRDI QIDQ5246691

Nana Tao, Yuanguo Zhu

Publication date: 22 April 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415500224

zbMATH Keywords

stabilityattractivitysufficient and necessary conditionuncertain process\(\alpha\)-pathuncertain differential system

Mathematics Subject Classification ID

Variable structure systems (93B12) Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (10)

Solutions of linear uncertain fractional-order delay differential equations ⋮ Asymptotic stability in \(p\) th moment of uncertain dynamical systems with time-delays ⋮ Adams predictor-corrector method for solving uncertain differential equation ⋮ Solutions of linear uncertain fractional order neutral differential equations ⋮ Stability and optimal control for uncertain continuous-time singular systems ⋮ Numerical approach for solution to an uncertain fractional differential equation ⋮ European option pricing model based on uncertain fractional differential equation ⋮ Stability analysis of uncertain singular systems ⋮ Stability and attractivity in optimistic value for dynamical systems with uncertainty ⋮ The almost sure stability for uncertain delay differential equations based on normal Lipschitz conditions

Cites Work

• Existence and uniqueness theorem for uncertain differential equations
• UNCERTAIN OPTIMAL CONTROL WITH APPLICATION TO A PORTFOLIO SELECTION MODEL
• GLOBALLY ATTRACTIVE AND POSITIVE INVARIANT SET OF THE LORENZ SYSTEM
• Deterministic Nonperiodic Flow

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