Zobrazeno 1 - 10
of 216
pro vyhledávání: '"Reis, Timo"'
We consider the quasilinear magneto-quasistatic field equations that arise in the simulation of low-frequency electromagnetic devices coupled to electrical circuits. Spatial discretization of these equations on 3D domains using the finite element met
Externí odkaz:
http://arxiv.org/abs/2411.14226
Autor:
Gernandt, Hannes, Reis, Timo
In this paper, we extend a classical approach to linear quadratic (LQ) optimal control via Popov operators to abstract linear differential-algebraic equations (ADAEs) in Hilbert spaces. To ensure existence of solutions, we assume that the underlying
Externí odkaz:
http://arxiv.org/abs/2402.08762
Autor:
Reis, Timo, Schaller, Manuel
We examine the minimization of a quadratic cost functional composed of the output and the final state of abstract infinite-dimensional evolution equations in view of existence of solutions and optimality conditions. While the initial value is prescri
Externí odkaz:
http://arxiv.org/abs/2401.11302
Different index concepts for linear differential-algebraic equations are defined in the general Banach space setting, and compared. For regular finite-dimensional linear differential-algebraic equations, all these indices exist and are equivalent. Fo
Externí odkaz:
http://arxiv.org/abs/2401.01771
Current engineering design trends, such as light-weight machines and humanmachine-interaction, often lead to underactuated systems. Output trajectory tracking of such systems is a challenging control problem. Here, we use a twodesign-degree of freedo
Externí odkaz:
http://arxiv.org/abs/2312.04380
Autor:
Gernandt, Hannes, Reis, Timo
We study linear abstract differential-algebraic equations (ADAEs), and we introduce an index concept which is based on polynomial growth of a~pseudo-resolvent. Our approach to solvability analysis is based on degenerate semigroups. We apply our resul
Externí odkaz:
http://arxiv.org/abs/2312.02303
Autor:
Reis, Timo, Schaller, Manuel
We present Oseen equations on Lipschitz domains in a port-Hamiltonian context. Such equations arise, for instance, by linearization of the Navier-Stokes equations. In our setup, the external port consists of the boundary traces of velocity and the no
Externí odkaz:
http://arxiv.org/abs/2305.09618
We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes by Staffans to formulate a~suitable concept for port-Hamiltonian systems, which allows a unifying app
Externí odkaz:
http://arxiv.org/abs/2302.05168
A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The dynamic iteration is monotone in the sense that the error is decreasing, it does not require any stability condition and is in particular applicable
Externí odkaz:
http://arxiv.org/abs/2302.01195