Control Laws and Adaptive Control of Linear Systems
Let the set Y of output’s values be a linear space over the real number field R. It is well known that linear system theory was established in the algebraic sense [Kalman, 1969]. The main theorem says that for any causal linear input/output map, there exist at least two canonical (controllable and observable) linear systems which realize (faithfully describe) it and any two canonical linear systems with the same behavior are isomorphic.
KeywordsLinear System Control Problem Adaptive Control Input Sequence Output Control
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