Small-noise asymptotics of Hamilton-Jacobi-Bellman equations and bifurcations of stochastic optimal control problems
DOI10.1016/j.cnsns.2014.09.029zbMath1334.93181OpenAlexW2058995376MaRDI QIDQ907595
Tatiana Kiseleva, Dieter Grass, Florian O. O. Wagener
Publication date: 26 January 2016
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.09.029
stochastic optimal controlregime shiftsbifurcationsstochastic Hamilton-Jacobi-Bellman equationsmall-noise asymptotics
Perturbations in control/observation systems (93C73) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Hamilton-Jacobi theories (49L99) Existence of optimal solutions to problems involving randomness (49J55)
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Cites Work
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- Phenomenological and ratio bifurcations of a class of discrete time stochastic processes
- Optimality of irreversible pollution accumulation
- Noise-induced transitions. Theory and applications in physics, chemistry, and biology
- A complete characterization of optimal growth paths in an aggregated model with a non-concave production function
- Feedback Nash equilibria for non-linear differential games in pollution control
- Skiba points and heteroclinic bifurcations, with applications to the shallow lake system
- The stochastic lake game: A numerical solution
- Bifurcations of optimal vector fields in the shallow lake model
- A bifurcation theory for a class of discrete time Markovian stochastic systems
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Nearest feasible paths in optimization control problems: Theory, examples, and counterexamples
- Nonconvexities in optimal pollution accumulation
- A DNS-curve in a two-state capital accumulation model: A numerical analysis
- Avoiding an ecological regime shift is sound economic policy
- Transformation invariant stochastic catastrophe theory
- Tipping elements in the Earth's climate system
- Stochastic Skiba Sets: An Example from Models of Illicit Drug Consumption
- Stability of dynamical systems
- Optimal Growth with a Convex-Concave Production Function
- Nineteenth-Century Roots of the Boundary-Layer Idea
- On the Development of Singular Perturbation Theory at Moscow State University and Elsewhere
- Necessity of Transversality Conditions for Infinite Horizon Problems
- Optimal Discounted Stochastic Control for Diffusion Processes
- Stochastic Control for Small Noise Intensities
- Handbook of stochastic methods for physics, chemistry and the natural sciences.
- Why politics makes strange bedfellows: Dynamic model with DNS curves
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