Theoretical / proof-based
Control theory · Graduate · Engineering
Topics
State-space analysis and stability
- Linear state-space models: controllability canonical forms
- Controllability and observability Grammians
- Kalman decomposition and minimal realizations
- Lyapunov stability definitions and theorems
- Lyapunov equation for linear systems
- LaSalle's invariance principle
- Input-to-state stability (ISS) concepts
- Feedback linearization conditions
- Zero dynamics and relative degree
- Stabilization of nonlinear systems via Lyapunov design
Optimal and robust control
- Calculus of variations and Pontryagin's maximum principle
- Linear quadratic regulator (LQR) derivation
- Algebraic Riccati equation properties
- Linear quadratic Gaussian (LQG) separation principle
- H-infinity control problem formulation
- Small-gain theorem and robust stability
- Structured uncertainty and μ-analysis intro
- Model reduction for large-scale plants
- Dissipativity theory and passivity
- Semidefinite programming in control (survey)
What each unit includes
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- Study guide
- Exam Strategy
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- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- State-space analysis and stability
Linear state-space models: controllability canonical forms
Coming soon - Optimal and robust control
Calculus of variations and Pontryagin's maximum principle
Coming soon
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$1,162 · Control theory · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.