Exponential stability of interval dynamical systems with quadratic nonlinearity

DOI10.1007/s11155-006-9029-yzbMath1123.65120OpenAlexW2134889065MaRDI QIDQ877248

Svetlana P. Sokolova, Ruslan S. Ivlev

Publication date: 19 April 2007

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11155-006-9029-y

zbMATH Keywords

exponential stabilityattraction domaininterval dynamical systemLyapunov's direct method: Lyapunov functionnonlinearity of a quadratic type

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Cites Work

• Computational complexity and feasibility of data processing and interval computations
• Counter-example to a recent result on the stability of interval matrices by S. Bialas
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• A necessary and sufficient condition for the stability of interval matrices
• Interval Methods for Systems of Equations
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