1992•Unpublished venueRequires access

Linear System Theory

Wilson J. Rugh

Abstract

Mathematical notation and review state equation representation state equation solution transition matrix properties two important cases internal stability Lyapunov stability criteria additional stability criteria controllability and observability realizability minimal realization input-out-put stability controller and observer forms linear feedback state observation polynomial fraction description polynoial fraction applications geometric theory applications of geometric theory.

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Key concepts: Observability, Realizability, Controllability, Mathematics, Observer (physics), State-transition matrix, Linear system, Realization (probability)