Control Systems

  1. State-Space Analysis
    1. State-Space Representation
      1. State Variables
        1. State Vector
          1. State Equations
            1. State Equation
              1. Output Equation
              2. State-Space Model Forms
                1. Controllable Canonical Form
                  1. Observable Canonical Form
                    1. Diagonal Form
                      1. Jordan Canonical Form
                    2. Conversion Between Representations
                      1. Transfer Function to State-Space
                        1. Direct Method
                          1. Partial Fraction Method
                          2. State-Space to Transfer Function
                            1. Formula Method
                              1. Block Diagram Method
                            2. Solution of State Equations
                              1. Homogeneous State Equation
                                1. State Transition Matrix
                                  1. Definition and Properties
                                    1. Calculation Methods
                                      1. Laplace Transform Method
                                        1. Matrix Exponential Method
                                          1. Cayley-Hamilton Method
                                        2. Non-Homogeneous State Equation
                                          1. Complete Solution
                                          2. Controllability and Observability
                                            1. Controllability
                                              1. Controllability Matrix
                                                1. Controllability Test
                                                  1. Physical Interpretation
                                                  2. Observability
                                                    1. Observability Matrix
                                                      1. Observability Test
                                                        1. Physical Interpretation
                                                        2. Duality Principle
                                                        3. Canonical Forms
                                                          1. Controllable Canonical Form
                                                            1. Observable Canonical Form
                                                              1. Diagonal Canonical Form
                                                                1. Jordan Canonical Form
                                                                  1. Transformation Between Forms

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                                                                8. Control System Design

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                                                                10. State-Space Design