## Abstract In recent literature, several alternative conditions for the existence of solutions to active networks are given. In this paper, yet another condition is given which is both necessary and sufficient for the existence of a unique solution to the network. Based on this new condition a pre
Singular perturbations in the state space approach of linear electrical networks
β Scribed by P. Sannuti
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 550 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0098-9886
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Networks whose dynamic order is less than the number of energy storing elements they contain are considered. By adding parasitic elements, their dynamic order is restored. After selecting the state variables properly, singular perturbation theory is used to analyse the network behaviour with respect to the parasitic elements and to calculate the initial jumps in the network variables. Parasitic elements are seen to play a dominating role in dictating the stability of a network. The need for generalizing the presently available singular perturbation theory is pointed out by means of an example.
π SIMILAR VOLUMES
## Abstract A new complete approach to the multiport formulation of the stateβspace equations of uniquely solvable regular or strictly topologically degenerate linear lumped timeβinvariant networks is presented. It is based on a __Gedankenexperiment__ during which the topological structure of the o
Transfinite resistive electrical networks have unique voltage-current regimes under very broad conditions on their resistances and source values; this has been established previously. However, as is shown by example in this paper, such networks need not have unique node voltages with respect to a ch
This paper is concerned with Riccati equation based analysis methods for determining stability and performance of perturbed feedback systems. The elements of the state-space representation of the systems are assumed to be linearly perturbed with real, magnitude bounded uncertaintites. Performance is