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Erschienen in:
1991 | OriginalPaper | Buchkapitel
Stability
verfasst von : Frank M. Callier, Charles A. Desoer
Erschienen in: Linear System Theory
Verlag: Springer New York
Enthalten in: Professional Book Archive
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This chapter describes the stability of a linear system from different points of view: bounded-input bounded-output stability (I/O representation, external stability) and the stability of the zero solution of $$\dot x = A\left( t \right)x$$ (state representation, internal stability): for the latter case the notions of asymptotic-and exponential-stability are developed. More specific topics conclude the chapter: bounded trajectories and regulation, response of a linear stable system to T-periodic inputs, equilibrium solution of a driven T-periodic differential system and slightly nonlinear systems.