Analysis of Repeated Systems with Non- identical, Non-commutative Interactions Using Bond Graph Adapted Operator Perturbation
✍ Scribed by Amalendu Mukherjee; Biswanath Samanta
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 1013 KB
- Volume
- 323
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
A technique is presented to study the dynamics of a class of repeated systems with non-commutative interactions. The system equations are formulated using tensor product algebra. A pre-analysis of the system equations is carried out to reduce the interactions to a small perturbing operator. The formal operator perturbation scheme is discussed. The procedure of pretreatment is adapted to bond graph techniques for the ease of representation of dynamic systems. It is shown that the method of operator perturbation may also be handled very conveniently by bond graph approach. The overall system dynamics can be studied from the analysis of the subsystems coupled through the perturbing operator. This results in a substantial reduction in the size of the problem to be considered. The procedure is illustrated by suitable examples.