Noise suppresses exponential growth under regime switching
From MaRDI portal
Publication:1022982
DOI10.1016/j.jmaa.2009.02.009zbMath1173.60024OpenAlexW2000805077MaRDI QIDQ1022982
Xuerong Mao, Minghui Song, Ming-Zhu Liu, Guang-Da Hu
Publication date: 10 June 2009
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.2009.02.009
stochastic differential equationpolynomial growthBrownian motionstochastic controlMarkov chainexponential growth
Related Items
On almost sure stability conditions of linear switching stochastic differential systems, Noise expresses exponential decay for globally exponentially stable nonlinear time delay systems, Stochastic functional differential equation under regime switching, Stochastic suppression and almost surely stabilization of non-autonomous hybrid system with a new general one-sided polynomial growth condition, Stochastic suppression and stabilization of nonlinear differential systems with general decay rate, Noise suppress or express exponential growth for hybrid Hopfield neural networks, Noise suppresses explosive solutions of differential systems with coefficients satisfying the polynomial growth condition, Dynamic of a stochastic predator-prey population, The asymptotic properties of the suppressed functional differential system by Brownian noise under regime switching, Noise suppress exponential growth for hybrid Hopfield neural networks, Noise suppresses exponential growth for neutral stochastic differential delay equations, The asymptotic properties of the suppressed system by Brownian noise, Asymptotic stability of nonlinear hybrid stochastic systems driven by linear discrete time noises, Robustness of hybrid neutral differential systems perturbed by noise, Noise suppresses explosive solutions of differential systems: a new general polynomial growth condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Problem of vibrational stabilization of linear systems
- On stochastic stabilization of difference equations
- Stochastic stabilization and destabilization
- Environmental Brownian noise suppresses explosions in population dynamics.
- Stochastic delay Lotka--Volterra model
- Noise suppresses or expresses exponential growth
- Stabilization of Volterra equations by noise
- Stochastic stabilization of differential systems with general decay rate
- Stochastic stabilisation of functional differential equations
- On the stability of processes defined by stochastic difference- differential equations
- Stability of fast periodic systems
- Stabilization of Linear Systems by Noise
- Lyapunov exponents of nilpotent ito systems
- Condition of vibrational stabilizability for a class of nonlinear systems
- Stabilization and Destabilization by Noise in the Plane
- Robustness of exponential stability of stochastic differential delay equations
- Stabilization and Destabilization of Nonlinear Differential Equations by Noise
- Stochastic Differential Equations with Markovian Switching
