Network models for co-state equations of linear and non-linear systems†
H.V. Sahasrabuddhe, H. K. Kesavan · International Journal of Control · 1970
The paper presents a topological correspondence between a network and its adjoint which, in the final result, renders it possible to proceed to the adjoint network without going through the intermediate step of deriving the co-state equations. Algorithms are developed for arriving at the topology of adjoint networks for the terminal control problem of a linear network with a linear criterion as well as with a quadratic criterion. The results are also extended to non-linear networks. The topological interpretation of adjoint networks facilitates inclusion of the results into presently available programmes on computer-aided design, which, in fact, provides the primary motivation for the work.