Detail publikace

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

Originální název

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

Anglický název

Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation

Jazyk

en

Originální abstrakt

The paper deals with the method for evaluating variability of stochastic responses at hybrid systems with both lumped and distributed parts. The latter is represented by a multiconductor transmission line (MTL) whose parameters can vary randomly. The computation is based on theory of stochastic differential equations (SDE), or rather stochastic differential-algebraic equations (SDAE), just due to presence of lumped-parameter part of a general form. The MTL itself is modeled by a cascade connection of generalized LRCG cells and is described via a state-variable method. Boundary conditions are included via the modified nodal analysis (MNA) which enables to cover arbitrarily complex systems. The main idea is to transform the resultant SDAE to be able to formulate Lyapunov-like ODE for computation of a covariance matrix carrying information about responses variability. To verify the results a statistical processing of stochastic trajectories is also considered. The method can by nature be suitable for solving electromagnetic interference (EMI) issues when stochastic disturbances are to be characterized.

Anglický abstrakt

The paper deals with the method for evaluating variability of stochastic responses at hybrid systems with both lumped and distributed parts. The latter is represented by a multiconductor transmission line (MTL) whose parameters can vary randomly. The computation is based on theory of stochastic differential equations (SDE), or rather stochastic differential-algebraic equations (SDAE), just due to presence of lumped-parameter part of a general form. The MTL itself is modeled by a cascade connection of generalized LRCG cells and is described via a state-variable method. Boundary conditions are included via the modified nodal analysis (MNA) which enables to cover arbitrarily complex systems. The main idea is to transform the resultant SDAE to be able to formulate Lyapunov-like ODE for computation of a covariance matrix carrying information about responses variability. To verify the results a statistical processing of stochastic trajectories is also considered. The method can by nature be suitable for solving electromagnetic interference (EMI) issues when stochastic disturbances are to be characterized.

BibTex


@inproceedings{BUT141072,
  author="Lubomír {Brančík} and Edita {Kolářová} and Milan {Sigmund}",
  title="Characteristics of Stochastic Responses in MTL Hybrid Systems by using SDAE Formulation",
  annote="The paper deals with the method for evaluating variability of stochastic responses at hybrid systems with both lumped and distributed parts. The latter is represented by a multiconductor transmission line (MTL) whose parameters can vary randomly. The computation is based on theory of stochastic differential equations (SDE), or rather stochastic differential-algebraic equations (SDAE), just due to presence of lumped-parameter part of a general form. The MTL itself is modeled by a cascade connection of generalized LRCG cells and is described via a state-variable method. Boundary conditions are included via the modified nodal analysis (MNA) which enables to cover arbitrarily complex systems. The main idea is to transform the resultant SDAE to be able to formulate Lyapunov-like ODE for  computation of a covariance matrix carrying information about responses variability. To verify the results a statistical processing of stochastic trajectories is also considered. The method can by nature be suitable for solving electromagnetic interference (EMI) issues when stochastic disturbances are to be characterized.",
  address="European Microwave Association",
  booktitle="European Microwave Week 2017, Conference Proceedings",
  chapter="141072",
  howpublished="electronic, physical medium",
  institution="European Microwave Association",
  year="2017",
  month="october",
  pages="367--370",
  publisher="European Microwave Association",
  type="conference paper"
}