Step-like contrast structure of singularly perturbed optimal control problem
In this paper, the existence of step-like contrast structure for a class of singularly perturbed optimal control problem is shown by the contrast structure theory.
Limeng Wu, Mingkang Ni, Haibo Lu
doaj +1 more source
Perturbation formula of eigenvalues in a singularly perturbed domain
The author deals with partial degeneration of a domain (the Dumbbell shaped domain) and an asymptotic behavior of a certain class of eigenvalues of the Laplacian with Neumann boundary conditions. For small \(\zeta>0\), the domain \(\Omega(\zeta)\) is expressed as follows \(\Omega(\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\subset\mathbb{R}^ n\) where \(Q(\zeta)\)
openaire +3 more sources
CHD4 plays an essential role as an epigenetic regulator in the pathogenesis of multiple myeloma. The chromatin remodeling protein initially resolves G‐quadruplex (G4) secondary structures within the c‐Myc promoter region, thereby enhancing chromatin accessibility and promoting transcriptional activation.
Pinggang Ding +10 more
wiley +1 more source
Neural Network-Based Adaptive Tracking Control for a Class of Nonlinear Singularly Perturbed Systems
In this paper, the neural network-based adaptive tracking control method is addressed for a class of multi-input affine unknown nonlinear singularly perturbed systems.
Hao Wang, Chunyu Yang, Song Zhu
doaj +1 more source
A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
core +1 more source
An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
Padmaja, P. +5 more
core +1 more source
Vegetated Canopy Heterogeneity Footprints in the Roughness Sublayer
Abstract Turbulent flows over horizontally homogeneous rough surfaces are categorized as rough‐wall boundary layer flows, while flows over homogeneous vegetated canopies are better described through a mixing‐layer analogy. At present, numerous studies have investigated canopy density as a transition mechanism between rough‐wall and mixing‐layer‐type ...
Giulia Salmaso, Raúl B. Cal, Marc Calaf
wiley +1 more source
A Class of Shock Wave Solution to Singularly Perturbed Nonlinear Time-Delay Evolution Equations
Nonlinear singularly perturbed problem for time-delay evolution equation with two parameters is studied. Using the variables of the multiple scales method, homogeneous equilibrium method, and approximation expansion method from the singularly perturbed ...
Yi-Hu Feng, Lei Hou
doaj +1 more source
Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions
A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
NATALIA KOPTEVA (12353197) +5 more
core +1 more source
PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh +2 more
wiley +1 more source

