论文标题
耦合磁质系统的消极性，哈米尔顿港公式和解决方案估计值
Passivity, Port-Hamiltonian Formulation and Solution Estimates for a Coupled Magneto-Quasistatic System
论文作者
论文摘要
我们首先通过将注入的电压作为输入和相关电流作为输出来研究〜quasilerear耦合的磁质质量模型。}首先，我们证明了磁极质量质量系统是被动的。此外，通过定义合适的狄拉克和电阻结构，我们表明它承认是〜Port-Hamiltonian系统的代表。此后，我们考虑依赖初始数据和输入数据。我们表明，可以通过初始磁性矢量电势和电压来估计电流和磁性电势。我们还分析了系统的自由动力学，并研究了$ t \至\ infty $的解决方案的渐近行为。
We study a~quasilinear coupled magneto-quasistatic model from a~systems theoretic perspective.} First, by taking the injected voltages as input and the associated currents as output, we prove that the magneto-quasistatic system is passive. Moreover, by defining suitable Dirac and resistive structures, we show that it admits a~representation as a~port-Hamiltonian system. Thereafter, we consider dependence on initial and input data. We show that the current and the magnetic vector potential can be estimated by means of the initial magnetic vector potential and the voltage. We also analyse the free dynamics of the system and study the asymptotic behavior of the solutions for $t\to\infty$.
