1. |
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Introduction & Mathematical Models of Systems
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Introduction
- Introduction
- Overview |
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Introduction & Mathematical Models of Systems
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Introduction
- Introduction
- Overview |
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2. |
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Mathematical Models of Systems 1
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Mathematical Models of Systems I |
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Mathematical Models of Systems 2
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Mathematical Models of Systems II |
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3. |
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Mathematical Descriptions of Systems 1
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Mathematical Descriptions of Systems I
- Introduction
- Causality, Lumpedness, and Time-
Invariance
- Linear Time-Invariant (LTI) Systems
- Linear Time-Varying Systems
- RLC circuits--Comparisons of Various
Description |
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Mathematical Descriptions of Systems 2
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Mathematical Descriptions of Systems II
- Mechanical and Hydraulic Systems
- Proper Rational Transfer Functions
- Discrete-Time Linear Time-Invariant
Systems |
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4. |
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State-Space Solutions and Realisations
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State-Space Solutions and Realizations
- Introduction
- General Solution of CT LTI State-Space |
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5. |
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Stability
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Stability
- Introduction
- Input-Output Stability of LTI Systems
- Discrete-Time Case
- Internal Stability
- Lyapunov Theorem
- Stability of LTV Systems |
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6. |
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Controllability and Observability
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Controllability and Observability
- Introduction
- Controllability
- Observability
- Canonical Decomposition |
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Controllability and Observability
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Controllability and Observability
- Introduction
- Controllability
- Observability
- Canonical Decomposition |
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7. |
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State Feedback and State Estimators
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State Feedback and State Estimators
- Introduction
- State Feedback
- Regulation and Tracking
- State Estimator
- Feedback from Estimated States
- State feedback--MIMO case
- State Estimators--MIMO case
- Feedback from Estimated States--MIMO
Case |
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