. . . . "Dresden, Germany" . "4"^^ . . "Dresden" . "Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs" . "978-3-00-043430-3" . . . . . "2013-09-08+02:00"^^ . . "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 It\u00F4 stochastic calculus is used for numerical solutions. All" . "RIV/00216305:26220/13:PU104205!RIV15-MSM-26220___" . . "Technische Universit\u00E4t Dresden" . . . "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 It\u00F4 stochastic calculus is used for numerical solutions. All"@en . . "hybrid system, multiconductor transmission line, modified nodal analysis, stochastic differential-algebraic equation"@en . . "Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs" . "Bran\u010D\u00EDk, Lubom\u00EDr" . "26220" . "ECCTD 2013 Proceedings (21st European Conference on Circuit Theory and Design)" . "[45D373077308]" . "Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs"@en . . "P(ED2.1.00/03.0072), P(EE2.3.20.0007), S" . . "Simulation of Hybrid MTL Systems with Random Parameters based on Stochastic DAEs"@en . "1"^^ . . "1"^^ . "RIV/00216305:26220/13:PU104205" . . "http://www.iee.et.tu-dresden.de/ecctd2013/" . "105241" .