'Jordan form' presentation slideshows

Note

Note. Please review ???????? (4) 1-3 about. Jordan form and Minimal polynomial. Theorem 1.2.13. If m=n ,and at least one of A or B is nonsigular,then. AB and BA are similar. Remark. The Jordan structure of AB and BA. corresponding to nonzero eigenvalues are. the same. Qestion p.1.

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Chapter 6 Controllability and Observability

Chapter 6 Controllability and Observability Controllability deals with whether or not the state of a state-space equation can be controlled from the input . Observability deals with whether or not the initial state can be observed from the output. Outline . Controllability Observability

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5.IV. Jordan Form

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Chapter 5 Stability

Chapter 5 Stability To study BIBO stability for zero-state response, and marginal and asymptotic stabilities for zero-input response. Outline. Stability Input-Output stability of LTI systems Internal stability Lyapunov Theorem Stability of LTV systems. Stability. Importance of stability:

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Solve:

Sec7.5: Multiple Eigenvalue Solution. Lin. indep eigenvectors. One single eigenvector. Solve:. Repeated real Eigenvalues. One single eigenvector. Repeated real Eigenvalues. Solve:. Repeated real Eigenvalues. Solve:. Repeated real Eigenvalues. Solve:. Homog Linear System.

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7.3. Jordan form

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