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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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2

Mathematical preliminaries

Abstract

In this chapter, we outline the basic components of vector algebra, matrix algebra, linear differential equation, matrix differential equation, and Laplace transform as the mathematical preliminaries.

Keywords

Vector algebra; Matrix algebra; Linear differential equation; Matrix differential equation; Laplace transform; Solution to linear equations; Solution to matrix ordinary differential equations; Stability

In this chapter, we briefly discuss some basic topics in linear algebra that may be needed in the sequel. This chapter can be skimmed very quickly and used mainly as a quick reference. There has been a huge number of reference resources for matrix and linear algebra, to mention a few [4350].

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