Title :
Balanced representations and approximation of linear systems
Author_Institution :
Dept. of Math., Groningen Univ., Netherlands
Abstract :
The notion of a balanced state space is generalized for the class of L2-trajectories of finite-dimensional, linear, time-invariant systems. Necessary and sufficient conditions are given for the existence of a state-space representation which is balanced with respect to general quadratic measures on the external behavior of systems in this class. In particular, balanced representations are derived for nonstable systems, and it is shown that traditional balanced representations are obtained as a special case
Keywords :
control system analysis; linear systems; state-space methods; approximation; balanced representations; finite dimensional systems; linear systems; necessary conditions; state space; sufficient conditions; time-invariant systems; Asymptotic stability; Flexible structures; Linear approximation; Linear systems; Mathematics; Observability; Riccati equations; State-space methods; Sufficient conditions; Time invariant systems;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70356
