Structure analysis via orthogonal functions

摘要: The use of orthogonal functions to analyse the structure a system is investigated. Applying definitions observability and controllability that approximated with help functions, it shown concepts state space are equivalent, provided two weak conditions met. This result ensures properties remain invariant under transformation introduced by approximation. Furthermore, new criteria test given in terms coefficient matrix expansion. Because this does not require knowledge matrices A, B C, results derived may be used for identification systems. It demonstrated all obtained true, even an approximation low accuracy. These allow application analysis systems