Almost sure exponential stability of dynamical systems driven by Lévy processes and its application to control design for magnetic bearings

DOI10.1080/00207179.2018.1482502zbMath1440.93215OpenAlexW2805944385WikidataQ115552329 ScholiaQ115552329MaRDI QIDQ4960190

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Publication date: 9 April 2020

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

Full work available at URL: http://hdl.handle.net/20.500.11937/68338

zbMATH Keywords

Lévy processesexponential stabilitywell-posednessmagnetic bearingsLyapunov-type theorem

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Application models in control theory (93C95) Stochastic stability in control theory (93E15) Control/observation systems governed by ordinary differential equations (93C15) Exponential stability (93D23)

Related Items (5)

Stability analysis of planar probabilistic piecewise constant derivative systems ⋮ Inverse optimal control of stochastic systems driven by Lévy processes ⋮ Practical asymptotic stability of stochastic systems driven by Lévy processes and its application to control of TORA systems ⋮ Design of feedback stabilisers using Wiener processes for nonlinear systems ⋮ Backstepping control design for stochastic systems driven by Lévy processes

Cites Work

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• Asymptotic stability in the \(p\)th moment for stochastic differential equations with Lévy noise
• Stability analysis for stochastic hybrid systems: a survey
• Stabilization and destabilization of hybrid systems of stochastic differential equations
• Stochastic nonlinear stabilization. I: A backstepping design
• Stability of stochastic differential equations with Markovian switching
• Stochastic stabilization of hybrid differential equations
• Stability of networked control systems with asynchronous renewal links: an impulsive systems approach
• Global inverse optimal stabilization of stochastic nonholonomic systems
• Stochastic Hybrid Systems with Renewal Transitions: Moment Analysis with Application to Networked Control Systems with Delays
• Stability of the solution of stochastic differential equation driven by time-changed Lévy noise
• Asymptotic Stability of Stochastic Differential Equations Driven by Lévy Noise
• Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings
• Lévy Processes and Stochastic Calculus
• Stabilization of stochastic nonlinear systems driven by noise of unknown covariance
• Backstepping Design for Incremental Stability of Stochastic Hamiltonian Systems with Jumps
• Conical magnetic bearings with radial and thrust control
• Volterra Integral Approach to Impulsive Renewal Systems: Application to Networked Control
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps

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