Asymptotical Convergence Evaluation for a Parabolic Problem Arising in Circuit Theory

Marinov, Corneliu A.; Neittaanmäki, Pekka

doi:10.1002/zamm.19900700821

Cited by 3 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, in the same way we can obtain the stability of any solution [18], and it boundedness as well. The second result gives the upper bound of the delay time.…”

Section: Theorem 31: If G Is Drd We Have the Propertiesmentioning

confidence: 80%

See 1 more Smart Citation

Global Delay Time for General Distributed Networks With Applications to Timing Analysis of Digital Mos Integrated Circuits

Marinov

Neittaanmäki

1989

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Self Cite

View full text Add to dashboard Cite

If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation.ABSTRACT: We consider here a general nerwork composed by n-distributed parameters lines (with telegraph-equations models) and m-capacitors, all connected by a resistive multiport. An asymptotic stability property drives us to define and evaluate a global parameter ("λ-delay time") which describes the speed of signals propagation through the network. Because of its simplicity of calculation and its tightness, the given upper bound of the λ-delay time is useful in timing analysis of MOS integrated chips.

show abstract

“…In fact, in the same way we can obtain the stability of any solution [18], and it boundedness as well. The second result gives the upper bound of the delay time.…”

Section: Theorem 31: If G Is Drd We Have the Propertiesmentioning

confidence: 80%

“…Our work extends to a more general and more applicable case (m ≠ 0, see below) a previous stability result from [17]. Preliminary restricted versions of some of the results given in this paper have been presented in [18][19][20].…”

Section: Introductionmentioning

confidence: 89%

Global Delay Time for General Distributed Networks With Applications to Timing Analysis of Digital Mos Integrated Circuits

Marinov

Neittaanmäki

1989

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…In this case, most of engineering oriented works (for instance [17], [18], [5]) approximate the distributed element by a lumped parameter circuit, which means to study a system of ordinary differential equations. However, there are papers ( [6][7][8][9][10][11], [15], [16]) in which the modelling is "exact" in the sence that the distributed parameter structure (i.e. the parabolic partial differential equations) is retained.…”

Section: Introductionmentioning

confidence: 99%

Consistent models for electrical networks with distributed parameters

Marinov¹,

Moroşanu²

1992

Math. Bohem.

View full text Add to dashboard Cite

show abstract

Transient bounding in networks with distributed and lumped parameters

Marinov

1998

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

For a general network with distributed parameter lines (described by telegraph equations) with nodes grounded by RC lumped elements, upper and lower bounds of voltage at any point are given. Thus, the problem of bounding the delay time in such networks comes to solve a system of nonlinear algebraic inequalities. For tree-type circuits, we give two algorithms, doing this rapidly and providing reasonable tight bounds. The results are of interest for timing analysis of MOS interconnection structures.

show abstract

Asymptotical Convergence Evaluation for a Parabolic Problem Arising in Circuit Theory

Cited by 3 publications

References 9 publications

Global Delay Time for General Distributed Networks With Applications to Timing Analysis of Digital Mos Integrated Circuits

Global Delay Time for General Distributed Networks With Applications to Timing Analysis of Digital Mos Integrated Circuits

Consistent models for electrical networks with distributed parameters

Transient bounding in networks with distributed and lumped parameters

Contact Info

Product

Resources

About