Robustness with respect to small delays for exponential stability of nonautonomous systems.

DOI10.1016/j.jmaa.2003.09.035zbMath1035.93054OpenAlexW2039569128MaRDI QIDQ1419741

Faming Guo, Wei Yu, Falun Huang

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.035

zbMATH Keywords

RobustnessEvolution familyNonautonomous systemSmall time-varying delay

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Functional-differential equations in abstract spaces (34K30) Robust stability (93D09) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Linear differential equations in abstract spaces (34G10)

Related Items

Exponential stability of nonlinear differential equations in the presence of perturbations or delays ⋮ Asymptotic behavior of gradient systems with small time delays ⋮ On the dynamics of nonautonomous periodic general dynamical systems and differential inclusions ⋮ Robustness of exponential dissipation with respect to small time delay ⋮ Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semigroups of linear operators and applications to partial differential equations
• A unified approach to abstract linear nonautonomous parabolic equations
• The effect of small time delays in the feedbacks on boundary stabilization
• Some second-order vibrating systems cannot tolerate small time delays in their damping
• An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Robustness with Respect to Delays for Exponential Stability of Distributed Parameter Systems
• Lack of Time-Delay Robustness for Stabilization of a Structural Acoustics Model
• Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop