Nonlinear control of unsteady finite-amplitude perturbations in the Blasius boundary-layer flow [PDF]
The present work provides an optimal control strategy, based on the nonlinear Navier–Stokes equations, aimed at hampering the rapid growth of unsteady finite-amplitude perturbations in a Blasius boundary-layer flow.
DE PALMA, Pietro +2 more
core +1 more source
Optimal control of a stochastic heat equation with boundary-noise and boundary-control [PDF]
The authors of the present paper study a controlled state equation of parabolic type with Neumann boundary condition over the interval \([0,\pi]\). In the boundary condition at \(0\) and at \(\pi\) the derivative of the solution equals to the sum of a control and of a white noise in time; the two white noises intervening at the both interval end points
DEBUSSCHE A +2 more
openaire +5 more sources
Boundary control for transport equations
This paper considers two types of boundary control problems for linear transport equations. The first one shows that transport solutions on a subdomain of a domain X can be controlled exactly from incoming boundary conditions for X under appropriate convexity assumptions.
Bal, Guillaume, Jollivet, Alexandre
openaire +4 more sources
Stability and Stabilization of a Class of Boundary Control Systems [PDF]
We study a class of partial differential equations on a one dimensional spatial domain with control and observation at the boundary. For this class of systems we describe how to obtain an impedance energy-preserving system, as well as scattering energy ...
Schaft, A.J. van der, +15 more
core +1 more source
Adaptive Control for an Aircraft Wing System with Hysteresis Nonlinearity
This paper involves a novel adaptive control approach of a flexible wing system with hysteresis nonlinearity. The usual control design strategies based on the ordinary differential equations (ODEs) are inapplicable due to the flexible wing system ...
Yi Qin +4 more
doaj +1 more source
Vibration Suppression of a Flexible Riser by Boundary Iterative Learning Control
This paper studies the vibration suppression problem of nonlinear flexible riser systems subjected to external disturbances. For suppressing the vibration and improving the control precision, a novel joint control method which includes boundary control ...
Yu Liu, Qiongyao Zhang, Yun Fu
doaj +1 more source
Linear Operator Inequality and Null Controllability with Vanishing Energy for Unbounded Control Systems [PDF]
We consider a linear boundary or point control system on a Hilbert space $H$ which is null controllable at some time $T_0 >0$. To every initial state $ y_0 \in H$ we associate the minimal ``energy'' needed to transfer $ y_0 $ to $ 0 $ in a time $ T \ge ...
Zabczyk, J. +7 more
core +1 more source
Dissipative Boundary Control for an Adiabatic Plug Flow Reactor With Mass Recycle
In this contribution the stability properties and regulation of a class of convective systems described by first order hyperbolic partial differential equations with boundary recycle is studied.
Marco A. Zarate-Navarro +4 more
doaj +1 more source
The minimal seed of turbulent transition in the boundary layer [PDF]
This paper describes a scenario of transition from laminar to turbulent flow in a spatially developing boundary layer over a flat plate. The base flow is the Blasius non-parallel flow solution; it is perturbed by optimal disturbances yielding the largest
DE PALMA, Pietro +8 more
core +1 more source
Boundary control for the processes, described by hyperbolic systems
The boundary control problem for the system of hyperbolic equations with the mixed derivative is considered.The control is provided by the displacement (in the conditions of the first boundary-value problem).The coefficient matrices of different ...
Aleksandr Anatol'evich Andreev +2 more
doaj +1 more source

