Generalized halanay inequalities with applications to generalized exponential stability and boundedness of time-delay systems

DOI10.1155/2019/6072481zbMath1435.34077OpenAlexW2980374970WikidataQ115521830 ScholiaQ115521830MaRDI QIDQ2298605

Yanyan Li

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6072481

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Inequalities involving derivatives and differential and integral operators (26D10) Functional-differential inequalities (34K38)

Related Items (1)

Generalized Halanay inequalities for stability and dissipativity of stochastic functional differential equations

Cites Work

• New generalized Halanay inequalities with applications to stability of nonlinear non-autonomous time-delay systems
• Halanay type inequalities on time scales with applications
• Exponential stability and stabilization of a class of uncertain linear time-delay systems
• Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
• Exponential stability for stochastic neutral partial functional differential equations
• The existence, uniqueness, and controllability of neutral stochastic delay partial differential equations driven by standard Brownian motion and fractional Brownian motion
• Stability analysis of some delay differential inequalities with small time delays and its applications
• Stability of hybrid stochastic functional differential equations
• Dynamic behaviors of a predator-prey model perturbed by a complex type of noises
• Fixed points and stability of neutral stochastic delay differential equations
• A generalized Halanay inequality on impulsive delayed dynamical systems and its applications
• Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays
• Neutral stochastic differential equations driven by Brownian motion and fractional Brownian motion in a Hilbert space

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