Stabilization of linear systems by noise: Application to flow induced oscillations

DOI10.1080/713603738zbMath0961.34043OpenAlexW1985888979MaRDI QIDQ4500169

N. Sri Namachchivaya, Lalit Vedula

Publication date: 16 May 2001

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/713603738

zbMATH Keywords

stochastic differential equationsstochastic stabilitysample Lyapunov exponentrandom vibrationsmoment Lyapunov exponentalmost-sure stabilitysmall noise expansionsflow induced oscillationsODE with randomnessp-th moment stabilitystabilization with noise

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (7)

ALMOST SURE ASYMPTOTIC STABILITY OF SCALAR STOCHASTIC DELAY EQUATIONS: FINITE STATE MARKOV PROCESS ⋮ Moment Lyapunov exponents of the stochastic parametrical Hill's equation ⋮ On the \(p\)th moment stability of the binary airfoil induced by bounded noise ⋮ Random dynamical systems: addressing uncertainty, nonlinearity and predictability ⋮ Influence of the mode number on the stochastic stability regions of the elastic beam ⋮ Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise ⋮ Moment Lyapunov exponents of a two-dimensional system in wind-induced vibration under real noise excitation.

Cites Work

• Maximal Lyapunov exponent and rotation numbers for two coupled oscillators driven by real noise
• Almost-sure asymptotic stability of a general four-dimensional system driven by real noise
• Stabilization of Linear Systems by Noise
• Lyapunov Exponent and Rotation Number of Two-Dimensional Linear Stochastic Systems with Small Diffusion
• Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation
• Moment Lyapunov Exponent for Two Coupled Oscillators Driven by Real Noise
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