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System Identification: Theory for the User, Second Edition by Lennart Ljung - Linköping University Sweden

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2. Time-Invariant Linear Systems

Time-invariant linear systems no doubt form the most important class of dynamical systems considered in practice and in the literature. It is true that they represent idealizations of the processes encountered in real life. But, even so, the approximations involved are often justified, and design considerations based on linear theory lead to good results in many cases.

A treatise of linear systems theory is a standard ingredient in basic engineering education, and the reader has no doubt some knowledge of this topic. Anyway, in this chapter we shall provide a refresher on some basic concepts that will be instrumental for the further development in this book. In Section 2.1 we shall discuss the impulse response ...

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