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Signals and Systems II
Time and frequency domain analysis, Modeling, Discrete Systems.
Block 1: Introduction — Modeling, ODEs, Linear Algebra
WEEKS 1–2
1
Modeling
Exercise Series
2
ODEs and Linear Algebra, Coordinate Transformations
Exercise Series
Block 2: Continuous LTI Systems in Time Domain
WEEKS 3–4
3
State Transition , Transition Matrix
Exercise Series
4
Internal Stability, Stability Criteria
Exercise Series
Block 3: Controllability, Observability and Energy
WEEK 5
5
Controllability, Observability and Minimum Energy Control
Exercise Series
Block 4: LTI Systems in Frequency Domain
WEEKS 6–7
6
Laplace Transform, Transfer Function , Closed Loop Systems, Nyquist Stability Criterion
Exercise Series
7
Bode Plots, Bode Stability Criterion
Exercise Series
Block 5: Discrete-Time LTI Systems
WEEK 8
8
Discrete Systems Properties, z-Transform, Numerical Approximation
Exercise Series
9
Recap
Comprehensive Review
Block 6: Non-linear Systems
WEEK 10
10
Equilibrium Points, Stability, Linearization, La Salle's Theorem
Exercise Series