Network Essentiality

The work here involves the development of a theory providing necessary and sufficient conditions for the property of essentiality, which was first introduced and defined by Barmish and Kettani. These conditions provide means to ascertain whether the individual unknown elements of a resistive network can be characterized as having the property of essentiality, which in turn is shown to have significant impact on the manner in which their uncertain parameter values influence overall network performance. While the work is immediately motivated by circuits and power network problems, it is anticipated to be generalizable to a range of linear system fault detection problem having an underlying network structure. In particular, this concept proves useful as a technique for robust fault detection and fault isolation.

[1]  Pin-Han Ho,et al.  A Novel Approach for Failure Localization in All-Optical Mesh Networks , 2011, IEEE/ACM Transactions on Networking.

[2]  B. Ross Barmish,et al.  The uniform distribution: A rigorous justification for its use in robustness analysis , 1996, Math. Control. Signals Syst..

[3]  B. Ross Barmish,et al.  A NEW APPROACH TO MONTE CARLO ANALYSIS ILLUSTRATED FOR RESISTIVE LADDER NETWORKS , 2000 .

[4]  Ali Hajimiri,et al.  Generalized Time- and Transfer-Constant Circuit Analysis , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  B. Ross Barmish,et al.  A new Monte Carlo circuit simulation paradigm with specific results for resistive networks , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Poong-Hyun Seong,et al.  Automatic fault diagnosis method for resistive network using multiple excitations , 1996, Int. J. Circuit Theory Appl..

[7]  Charles A. Desoer,et al.  Basic Circuit Theory , 1969 .

[8]  G. Grimmett,et al.  Probability and random processes , 2002 .

[9]  L. Milor,et al.  Fault characterization of resistive shorts using a piecewise-linear circuit technique , 1997, Proceedings of 40th Midwest Symposium on Circuits and Systems. Dedicated to the Memory of Professor Mac Van Valkenburg.

[10]  R. J. Allwood,et al.  Diagnosing faults in a telecommunications network by an expert system , 1990 .

[11]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems: theory and application , 1989 .

[12]  M. Kanat Camlibel,et al.  Linear Passive Networks With Ideal Switches: Consistent Initial Conditions and State Discontinuities , 2010, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  B. R. Barmish,et al.  Monte Carlo analysis of resistive networks without a priori probability distributions , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[14]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[15]  Wei-Chang Yeh,et al.  A Particle Swarm Optimization Approach Based on Monte Carlo Simulation for Solving the Complex Network Reliability Problem , 2010, IEEE Transactions on Reliability.