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  • The paper deals with a method for the simulation of hybrid systems containing multiconductor transmission lines (MTL) with randomly varying primary parameters. A core of the method lies on a theory of stochastic differential equations (SDE) considering the system responses as stochastic processes. In fact, due to a hybrid nature of the system containing also parts with lumped parameters, a system of stochastic differential-algebraic equations (SDAE) is obtained. The responses are formed by the sets of stochastic trajectories completed by corresponding sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLCG T-networks and a state-variable method is used to formulate its equations. The boundary conditions are folded in by a modified nodal analysis (MNA) enabling to include the MTLs as parts of arbitrary lumped-parameter circuits. Finally, a backward differentiation formula consistent with the Itô stochastic calculus is used for numerical solutions. All
  • The paper deals with a method for the simulation of hybrid systems containing multiconductor transmission lines (MTL) with randomly varying primary parameters. A core of the method lies on a theory of stochastic differential equations (SDE) considering the system responses as stochastic processes. In fact, due to a hybrid nature of the system containing also parts with lumped parameters, a system of stochastic differential-algebraic equations (SDAE) is obtained. The responses are formed by the sets of stochastic trajectories completed by corresponding sample means and confidence intervals. The MTL model is based on a cascade connection of generalized RLCG T-networks and a state-variable method is used to formulate its equations. The boundary conditions are folded in by a modified nodal analysis (MNA) enabling to include the MTLs as parts of arbitrary lumped-parameter circuits. Finally, a backward differentiation formula consistent with the Itô stochastic calculus is used for numerical solutions. All (en)
Title
  • Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs
  • Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs (en)
skos:prefLabel
  • Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs
  • Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs (en)
skos:notation
  • RIV/00216305:26220/13:PU104205!RIV15-MSM-26220___
http://linked.open...avai/riv/aktivita
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  • P(ED2.1.00/03.0072), P(EE2.3.20.0007), S
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  • 105241
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  • RIV/00216305:26220/13:PU104205
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  • hybrid system, multiconductor transmission line, modified nodal analysis, stochastic differential-algebraic equation (en)
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  • [45D373077308]
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  • Dresden
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  • Dresden, Germany
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  • ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)
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  • Brančík, Lubomír
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number of pages
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  • Technische Universität Dresden
https://schema.org/isbn
  • 978-3-00-043430-3
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  • 26220
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