Maximum principle for optimal boundary control of the Kuramoto-Sivashinsky equation
From MaRDI portal
Publication:964329
DOI10.1016/j.jfranklin.2009.10.008zbMath1185.49023OpenAlexW2034852543MaRDI QIDQ964329
Publication date: 15 April 2010
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2009.10.008
Optimality conditions for problems involving partial differential equations (49K20) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items
Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation ⋮ Polynomial based differential quadrature method for numerical solution of nonlinear Burgers equation ⋮ Maximum principle for optimal distributed control of the viscous dullin-gottwald-Holm equation ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Global Carleman estimates for the linear stochastic Kuramoto-Sivashinsky equations and their applications ⋮ Application of \(G^\prime/G\)-expansion method to Kuramoto-Sivashinsky equation ⋮ Unnamed Item ⋮ Dynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control Problems ⋮ Optimal control of age-structured population dynamics for spread of universally fatal diseases
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reduced-order-based feedback control of the Kuramoto--Sivashinsky equation
- On some control problems in fluid mechanics
- Optimal birth control of population dynamics
- Maximum principle for optimal boundary control of vibrating structures with applications to beams
- Infinite-dimensional dynamical systems in mechanics and physics.
- Simple explanation of the no-free-lunch theorem and its implications
- Optimal birth control of population dynamics. II: Problems with free final time, phase constraints, and mini-max costs
- Feedback control of the Kuramoto-Sivashinsky equation
- Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
- Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
- Feedback control for unsteady flow and its application to the stochastic Burgers equation
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.
- A full-scale numerical study of interfacial instabilities in thin-film flows
- Finite-time singularity versus global regularity for hyper-viscous Hamilton–Jacobi-like equations
- Adaptive stabilization of the Kuramoto-Sivashinsky equation
- Non-vanishing profiles for the Kuramoto–Sivashinsky equation on the infinite line
- Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
