February 2017
Intermediate to advanced
322 pages
10h 49m
English
Content preview from A Generalized Framework of Linear Multivariable Control
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5
Stability
Abstract
This chapter gives an introduction to the most important and basic elements in the stability theory. We survey the following theoretical concepts, terms, and statements: internal stability, Lyapunov stability, and input-output stability.
Keywords
Internal stability; Lyapunov stability; Input-output stability
There have been a large number of references on stability theory for ordinary differential equations, to mention a few [70, 76–86]. On the basis of the above references, this chapter serves a tutorial summary on stability of linear system, which covers the topics of internal stability, Lyapunov stability, and input-output stability.
5.1 Internal stability
Internal stability deals with boundedness properties and ...
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