Some geometrical aspects of system controllability and observability
Alan J. Laub
Abstract
Alan J. Laub
Abstract
The concept of angles of inclination between subspaces is used in an algorithm for the numerical determination of observability and controllability indices. These angles can be determined in an efficient and numerically stable way and provide an intuitively appealing quantitative measure of the degree of controllability or observability of a linear system.
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The concept of angles of inclination between subspaces is used in an algorithm for the numerical determination of observability and controllability indices. These angles can be determined in an efficient and numerically stable way and provide an intuitively appealing quantitative measure of the degree of controllability or observability of a linear system.
Key concepts: Observability, Controllability, Linear subspace, Measure (data warehouse), Network controllability, Mathematics, Linear system, Control theory (sociology)