Relationships Between Controllable and Observable Matrices Which Ensure Controllable System to be Observable

Abstract

Generally, the controllability and observability of controllable systems were treated separately. In this paper, through the duality condition, the relationships between matrices of controllable system and observable system which ensure that controllable systems are observable are derived. This new result was established as a result of comparison of controllable and observable gramian matrices.

Keywords: Controllability, Observability, Duality, Skew- Symmetric matrix, Transpose

Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 55 – 60