1976Unpublished venueRequires access

Some geometrical aspects of system controllability and observability

Alan J. Laub

Open publisher page 3 citations

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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What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Observability, Controllability, Linear subspace, Measure (data warehouse), Network controllability, Mathematics, Linear system, Control theory (sociology)

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