Zobrazeno 1 - 10
of 240
pro vyhledávání: '"34a09"'
We analyze different approaches to differential-algebraic equations with attention to the implemented rank conditions of various matrix functions. These conditions are apparently very different and certain rank drops in some matrix functions actually
Externí odkaz:
http://arxiv.org/abs/2412.15866
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
The method for controlling a DC-DC converter is proposed to ensures the high quality control at large fluctuations in load currents by using differential gain control coefficients and second derivative control. Various implementations of balancing th
Externí odkaz:
http://arxiv.org/abs/2408.06045
We study singular optimal control problems of port-Hamiltonian systems. We study general control-affine cost functionals that include as a special case the energy supplied to the system. We derive optimality conditions for the case with and without c
Externí odkaz:
http://arxiv.org/abs/2407.03213
Partial Causal Detectability of Linear Descriptor Systems and Existence of Functional ODE Estimators
This paper studies the problem of state estimation for linear time-invariant descriptor systems in their most general form. The estimator is a system of ordinary differential equations (ODEs). We introduce the notion of partial causal detectability a
Externí odkaz:
http://arxiv.org/abs/2405.07968
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
Publikováno v:
Int J Circ Theor Appl. 2024; 1-23
Electrical circuits are present in a variety of technologies, making their design an important part of computer aided engineering. The growing number of parameters that affect the final design leads to a need for new approaches to quantify their impa
Externí odkaz:
http://arxiv.org/abs/2309.00958
Qualitative analysis of nonregular differential-algebraic equations and the dynamics of gas networks
Autor:
Filipkovska, Maria
The conditions for the existence, uniqueness and boundedness of global solutions, as well as ultimate boundedness of solutions, and the conditions for the blow-up of solutions of nonregular semilinear differential-algebraic equations are obtained. An
Externí odkaz:
http://arxiv.org/abs/2309.00186
In the present paper an optimal control problem for a system of differential-algebraic equations (DAEs) is considered. This problem arises in the dynamic optimization of unsteady district heating networks. Based on the Carath\'eodory theory existence
Externí odkaz:
http://arxiv.org/abs/2308.05376
In the present paper a detailed mathematical model is derived for district heating networks. After semidiscretization of the convective heat equation and introducing coupling conditions at the nodes of the network one gets a high-dimensional system o
Externí odkaz:
http://arxiv.org/abs/2308.04790