Stochastic perturbations of periodic orbits with sliding
DOI10.1007/s00332-015-9248-7zbMath1326.34090arXiv1404.6845OpenAlexW1990739877MaRDI QIDQ496314
David J. W. Simpson, Rachel Kuske
Publication date: 21 September 2015
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.6845
Periodic solutions to ordinary differential equations (34C25) Application models in control theory (93C95) Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05) Discontinuous ordinary differential equations (34A36)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Poincaré map of randomly perturbed periodic motion
- Sliding mode control of switched hybrid systems with stochastic perturbation
- Stochastically perturbed sliding motion in piecewise-smooth systems
- Remarks on uniqueness and strong solutions to deterministic and stochastic differential equations
- Trivariate density of Brownian motion, its local and occupation times, with application to stochastic control
- New iterative schemes for asymptotically quasi-nonexpansive nonself-mappings in Banach spaces
- Stochastic methods. A handbook for the natural and social sciences
- Small-scale instabilities in dynamical systems with sliding
- On limiting values of stochastic differential equations with small noise intensity tending to zero
- Theory and applications of stochastic processes. An analytical approach
- Stochastic averaging: An approximate method of solving random vibration problems
- Sliding modes in control and optimization. Transl. from the Russian
- Fast switches in relay feedback systems
- Stability results for switched controller systems
- Piecewise linear control systems. A computational approach
- Singularly perturbed problems in partial differential equations: A survey
- Bifurcation and stability analysis for a non-smooth friction oscillator
- Smooth and Filippov models of sustainable development: bifurcations and numerical computations
- Piecewise-smooth dynamical systems. Theory and applications
- Bifurcation analysis of piecewise smooth ecological models
- Stochastic averaging and asymptotic behavior of the stochastic Duffing--van der Pol equation
- Robust integral sliding mode control for uncertain stochastic systems with time-varying delay
- Stability analysis and stabilization control of multi-variable switched stochastic systems
- Stick and non-stick periodic motions in periodically forced oscillators with dry friction
- The positive occupation time of Brownian motion with two-valued drift and asymptotic dynamics of sliding motion with noise
- Random Perturbations of Dynamical Systems
- Sliding Bifurcations of Filippov Two Stage Pest Control Models with Economic Thresholds
- Sliding mode identification and control for linear uncertain stochastic systems
- Existence, stability and robustness analysis of limit cycles in hybrid anti-lock braking systems
- L2 Diffusion Approximation for Slow Motion in Averaging
- Exact and asymptotic solutions to a PDE that arises in time-dependent queues
- Linear and Nonlinear Diffusion Approximation of the Slow Motion in Systems with Two Time Scales
- Asymptotic theory of mixing stochastic ordinary differential equations
- Invariant polygons in systems with grazing-sliding
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Limit cycles with chattering in relay feedback systems
- Multiscale Methods
- On Stochastic Processes Defined by Differential Equations with a Small Parameter
- Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
- A singular large deviations phenomenon
This page was built for publication: Stochastic perturbations of periodic orbits with sliding