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Displaying 181 –
200 of
441
In this paper we study the frequency and
time domain behaviour of a heat exchanger network system.
The system is governed by hyperbolic partial differential
equations. Both the control operator and the observation
operator are unbounded but admissible. Using the theory
of symmetric hyperbolic systems, we prove exponential
stability of the underlying semigroup for the heat exchanger
network. Applying the recent theory of well-posed
infinite-dimensional linear systems, we prove that the
system...
In this paper we study asymptotic behaviour of distributed parameter systems governed by partial differential equations (abbreviated to PDE). We first review some recently developed results on the stability analysis of PDE systems by Lyapunov’s second method. On constructing Lyapunov functionals we prove next an asymptotic exponential stability result for a class of symmetric hyperbolic PDE systems. Then we apply the result to establish exponential stability of various chemical engineering processes...
In this paper we study asymptotic behaviour of distributed parameter systems governed
by partial differential equations (abbreviated to PDE). We first review some recently developed results
on the stability analysis of PDE systems by Lyapunov's second method. On constructing Lyapunov functionals
we prove next an asymptotic exponential stability result for a class of symmetric hyperbolic PDE
systems. Then we apply the result to establish exponential stability of various chemical engineering
processes...
In this paper, the stability of a Timoshenko beam with time delays
in the boundary input is studied. The system is fixed at the left
end, and at the other end there are feedback controllers, in which
time delays exist. We prove that this closed loop system is
well-posed. By the complete spectral analysis, we show that there is
a sequence of eigenvectors and generalized eigenvectors of the
system
operator that forms a Riesz basis for the state Hilbert space.
Hence the system satisfies the spectrum...
In this paper, the stability of a Timoshenko beam with time delays
in the boundary input is studied. The system is fixed at the left
end, and at the other end there are feedback controllers, in which
time delays exist. We prove that this closed loop system is
well-posed. By the complete spectral analysis, we show that there is
a sequence of eigenvectors and generalized eigenvectors of the
system
operator that forms a Riesz basis for the state Hilbert space.
Hence the system satisfies the spectrum...
We are interested in the feedback stabilization of a fluid flow over a flat plate, around a stationary solution, in the presence of perturbations. More precisely, we want to stabilize the laminar-to-turbulent transition location of a fluid flow over a flat plate. For that we study the Algebraic Riccati Equation (A.R.E.) of a control problem in which the state equation is a doubly degenerate linear parabolic equation. Because of the degenerate character of the state equation, the classical existence...
We are interested in the feedback stabilization of a fluid flow over a flat plate, around a stationary solution, in the presence of perturbations. More precisely, we want to stabilize the laminar-to-turbulent transition location of a fluid flow over a flat plate. For that we study the Algebraic Riccati Equation (A.R.E.) of a control problem in which the state equation is a doubly degenerate linear parabolic equation. Because of the degenerate character of the state equation, the classical existence...
One proves that the steady-state solutions to Navier–Stokes equations with internal controllers are locally exponentially stabilizable by linear feedback controllers provided by a control problem associated with the linearized equation.
One proves that the steady-state solutions to Navier–Stokes
equations with internal controllers are locally exponentially stabilizable by linear feedback controllers
provided by a LQ control problem associated with the linearized equation.
We study the local exponential stabilization of the 2D and 3D Navier-Stokes equations in a bounded domain, around a given steady-state flow, by means of a boundary control. We look for a control so that the solution to the Navier-Stokes equations be a strong solution. In the 3D case, such solutions may exist if the Dirichlet control satisfies a compatibility condition with the initial condition. In order to determine a feedback law satisfying such a compatibility condition, we consider an extended...
We study the local exponential stabilization of the 2D and 3D
Navier-Stokes equations in a bounded domain, around a given
steady-state flow, by means of a boundary control. We look for a
control so that the solution to the Navier-Stokes equations be a
strong solution. In the 3D case, such solutions may exist if the
Dirichlet control satisfies a compatibility condition with the
initial condition. In order to determine a feedback law satisfying
such a compatibility condition, we consider an extended...
This article presents a methodology for the synthesis of finite-dimensional nonlinear output feedback controllers for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains. Initially, the nonlinear parabolic PDE system is expressed with respect to an appropriate time-invariant spatial coordinate, and a representative (with respect to different initial conditions and input perturbations) ensemble of solutions of the resulting time-varying PDE system is...
This article presents new extensions regarding a nonlinear control design framework that is suitable for a class of distributed parameter systems with uncertainties (DPS). The control objective is first formulated as a function of the distributed system state. Then, a control is sought such that the set in the state space where this relation is true forms an integral manifold reachable in finite time. The manifold is called a Sliding Manifold. The Sliding Mode controller implements a theoretically...
This essentially numerical study, sets out to investigate various geometrical properties of exact boundary controllability of the wave
equation when the control is applied on a part of the boundary. Relationships between the geometry of the domain, the geometry of
the controlled boundary, the time needed to control and the energy of the control are dealt with. A new norm of the control and an
energetic cost factor are introduced. These quantities enable a detailed appraisal of the numerical solutions...
Currently displaying 181 –
200 of
441