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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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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, 7686]. 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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