Lecture 03 Canonical forms.

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Presentation transcript:

Lecture 03 Canonical forms

Linear System by Meiling CHEN Differential equation Dynamical equation or Transfer function Linear System by Meiling CHEN

Linear System by Meiling CHEN Phase-variable canonical form Linear System by Meiling CHEN

Linear System by Meiling CHEN ∫ … ＋ Linear System by Meiling CHEN

Linear System by Meiling CHEN

Linear System by Meiling CHEN Example 1 Linear System by Meiling CHEN

Linear System by Meiling CHEN controllable canonical form Linear System by Meiling CHEN

Linear System by Meiling CHEN ∫ … ＋ Linear System by Meiling CHEN

Linear System by Meiling CHEN

Linear System by Meiling CHEN ∫ … ＋ + Linear System by Meiling CHEN

Linear System by Meiling CHEN Example 2 Answer 2 Linear System by Meiling CHEN

Linear System by Meiling CHEN observable canonical form Linear System by Meiling CHEN

Linear System by Meiling CHEN ∫ + … Linear System by Meiling CHEN

Linear System by Meiling CHEN

Linear System by Meiling CHEN Example 3 Linear System by Meiling CHEN

Linear System by Meiling CHEN Remark Linear System by Meiling CHEN

Linear System by Meiling CHEN Diagonal & Jordan canonical form Linear System by Meiling CHEN

Linear System by Meiling CHEN + Linear System by Meiling CHEN

Linear System by Meiling CHEN Jordan block Linear System by Meiling CHEN

Linear System by Meiling CHEN Example 4 Linear System by Meiling CHEN