## 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
On the existence of solutions to linear active networks: A state-space approach
β Scribed by M. Chandrashekar; H. K. Kesavan
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 542 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0098-9886
No coin nor oath required. For personal study only.
β¦ Synopsis
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 precise upper bound for the order of complexity of an active network is established which differs from published results. A Fortran coded program is also available.
π SIMILAR VOLUMES
## Abstract The paper presents the application of nonlinear neural optimization networks to solve the linear complementarity problem. Two different approaches are presented and investigated: one leading to linear and the second to quadratic optimization programming. The numerical results of illustr
Let A A and B B be fields of subsets of a set X and let : A A Βͺ R and : B B Βͺ R Ε½ . be bounded, finitely additive measures i.e., charges . We give global necessary and sufficient conditions on A A and B B under which any bounded, consistent charges and have a bounded common extension. Conditions on
## Abstract This paper is concerned with the existence and concentration of positive solutions for the following quasilinear equation The proof relies on variational methods by using directly the functional associated with the problem in an appropriate Sobolev space. It was found a family of solut