The asymptotic properties of the suppressed functional differential system by Brownian noise under regime switching

DOI10.1080/00207179.2016.1152400zbMath1360.93659OpenAlexW2290471997MaRDI QIDQ2979546

Shigeng Hu, Quanxin Zhu, Yi Shen, Rong Cheng Yin

Publication date: 25 April 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2016.1152400

zbMATH Keywords

polynomial growthBrownian motionMarkov switchingstochastic functional differential equationnoise feedback

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Control/observation systems governed by ordinary differential equations (93C15) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (3)

Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: a higher-order nonlinear growth condition ⋮ Asymptotic stability of nonlinear hybrid stochastic systems driven by linear discrete time noises ⋮ Design of feedback stabilisers using Wiener processes for nonlinear systems

Cites Work

• Unnamed Item
• Noise suppresses explosive solutions of differential systems with coefficients satisfying the polynomial growth condition
• Stabilization and destabilization of hybrid systems of stochastic differential equations
• Noise suppresses exponential growth under regime switching
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stochastic delay Lotka--Volterra model
• Noise suppresses or expresses exponential growth
• Stochastic stabilisation of functional differential equations
• Suppression and stabilisation of noise
• Stabilization of Linear Systems by Noise
• Regularization and Stabilization of Randomly Switching Dynamic Systems
• Stabilization and Destabilization of Nonlinear Differential Equations by Noise
• Stochastic Differential Equations with Markovian Switching
• The asymptotic properties of the suppressed system by Brownian noise

This page was built for publication: The asymptotic properties of the suppressed functional differential system by Brownian noise under regime switching