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Lesson 2

Linear system. Lesson 2. Classification of the System response. Linear system. Homogenous solution. Particular solution. Natural response. Forced response. Zero-input response. Zero-state response. System response: Output signals due to inputs and ICs.

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Lesson 2

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  1. Linear system Lesson 2 Classification of the System response

  2. Linear system Homogenous solution Particular solution Natural response Forced response Zero-input response Zero-state response System response:Output signals due to inputs and ICs. 1. The point of view of Mathematic: ＋ 2. The point of view of Engineer: ＋ 3. The point of view of control engineer: ＋ Transient response Steady state response

  3. Linear system (1) Particular solution: Example: solve the following O.D.E

  4. Linear system (2) Homogenous solution: has to satisfy I.C.

  5. Linear system (3) zero-input response: consider the original differential equation with no input. zero-input response

  6. Linear system (4) zero-state response: consider the original differential equation but set all I.C.=0. zero-state response

  7. Linear system (5) Laplace Method:

  8. Linear system Complex response Zero state response Zero input response Forced response (Particular solution) Natural response (Homogeneous solution) Steady state response Transient response

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