Linear System Theory
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Follow on Instagram for UpdatesLinear System Theory Syllabus — Unit-wise Content
The official GTU curriculum for Linear System Theory (subject code 2720508) as prescribed for EAC( · Semester 2 divides the course into 6 units, covering 49 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2720508)Unit 1 Mathematical Descriptions of Systems
- Causality and Lumpedness
- Linear Systems
- Linear Time-Invariant Systems
- Discrete-Time Systems
Unit 2 Linear Algebra
- Representation and Orthonormalization
- Linear Algebric Equations
- Similarity Transformation
- Diagonal Form and Jordan Form
- Functions of a square matrix
- Lyapunov Equation
- Quadratic Form and Positive Definiteness
- Singular Value Decomposition
- Norms of Matrices
Unit 3 State-Space Solutions and Realizations
- Solution of LTI state equations
- Equivance of state equations
- Solution of Linear Time-Varying(LTV) equations
- Equivalent Time-Varying Equations
- Time-Varying Realizations
Unit 4 Stability
- Input-Output stability of LTI systems
- Internal stability
- Lyapunov Theorm
- Stability of LTV Systems
Unit 5 Controllabilty and Observability
- Canonical Decomposition
- Conditions in Jordan- Form Equations
- Discrete-Time State Equations
- Controllability after Sampling
- LTV State equations
Unit 6 Controllabilty and Observability
- Canonical Decomposition
- Conditions in Jordan- Form Equations
- Discrete-Time State Equations
- Controllability after Sampling
- LTV State equations 8 10 ‘7 State Feedback and State Estimators State feedback
- Regulation and tracking
- State estimator
- Feedback from Books: 1
- Chi-Tsong Chen
- ”Linear System Theory and Design”
- Oxford Press
- B.D.O. and Moore J.B.
- ”Optimal Control Linear Quadratic methods” Englewood cliffs
- Prentice Hall
- A.J. and Michel A.N.
- “ Linear Systems “
- New York
- Mcgraw Hill
- F.M. and Desoer
- ” Linear System Theory “
- W.”Linear System Theory”
- Upper Saddle River, NJ, Prentice Hall
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