\(p\)th moment exponential stability of hybrid stochastic functional differential equations by feedback control based on discrete-time state observations

DOI10.3934/dcdsb.2017011zbMath1366.34109OpenAlexW2560033671MaRDI QIDQ523988

Ling Bai, Yuyun Zhao, Tao Xu, Qian Zhang, Y. Zhang

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017011

zbMATH Keywords

Markovian switchingdiscrete-time state observations\(p\)th moment exponential stabilitystochastic functional differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Stochastic systems in control theory (general) (93E03)

Related Items

Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique, Unnamed Item, Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations, LaSalle-type theorems for stochastic functional differential equations with Markovian switching

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations
• Global exponential stability of impulsive discrete-time neural networks with time-varying delays
• \(p\)th moment absolute exponential stability of stochastic control system with Markovian switching
• Stabilization and destabilization of hybrid systems of stochastic differential equations
• Stabilisation of hybrid stochastic differential equations by delay feedback control
• Robust stability and controllability of stochastic differential delay equations with Markovian switching.
• Stability of stochastic differential equations with Markovian switching
• Stability of a random diffusion with linear drift
• Stochastic stabilization of hybrid differential equations
• Stochastic differential delay equations with Markovian switching
• Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control
• Comparison theorem of one-dimensional stochastic hybrid delay systems
• Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control
• Stabilization of Hybrid Systems by Feedback Control Based on Discrete-Time State Observations
• Exponential stability of stochastic delay interval systems with Markovian switching
• Stochastic Differential Equations with Markovian Switching