EE 500 : Linear System TheoryDepartment of Electrical and Systems Engineering University of Pennsylvania |
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Fall 2003 |
Date | Lecture | Reading | Contents |
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September 4 | Lecture 1 | Chapters 1, 2 | Introduction, state space representations |
September 9 | Lecture 2 | Chapter 2 | State space representations |
September 11 | Lecture 3 | Notes | Linear algebra : Linear spaces, basis, norms, inner products |
September 16 | Lecture 4 | Notes | Linear algebra : Change of bases, y=Ax, eigenvalues, eigenvectors |
September 18 | Lecture 5 | Notes | Linear algebra : Diagonalization, Jordan forms |
September 23 | Lecture 6 | Notes | Linear algebra : more on Jordan forms, symmetric matrices |
September 25 | Lecture 7 | Notes | Functions of a square matrix, matrix exponential, Cayley Hamilton Theorem |
September 30 | Lecture 8 | Chapters 4,5 | State space solutions : Time Invariant and Time Varying cases, properties of the state transition matrix |
October 2 | Lecture 9 | Chapters 4,5 | State space solutions : State-transition matrix, properties |
October 7 | Lecture 10 | Chapters 20, 21 | Discretization of continuous systems, discrete-time state space solutions |
October 9 | Lecture 11 | Chapter 6 | Internal Stability: definitions |
October 14 | Lecture 12 | Chapter 6 | Uniform exponential stability and asymptotic stability. Time varying and Time Invariant cases |
October 16 | Lecture 13 | Chapter 7 | Lyapunov stability theorems: Time varying and time invariant cases |
October 21 | Lecture 14 | Chapter 9 | Controllability and Observability. Midterm 1 |
October 23 | Lecture 15 | Chapters 10,11, 13 | more on controllability and observability: Kalman rank tests, PBH tests, decompositions |
October 28 | Lecture 16 | Chapter 11 | Observability : Kalman decomposition, minimal realizations, canonical forms |
October 30 | Lecture 17 | Chapters 13,14 | State feedback : Pole placement |
November 4 | Lecture 18 | Chapter 15 | More on pole placement |
November 6 | Lecture 19 | Chapter 15 | estimator design |
November 11 | Lecture 20 | Chapter 15, Notes | observers |
November 13 | Lecture 21 | Notes | reduced order observers/BIBO stability |
November 19 | Lecture 22 | Notes | BIBO stability/linear optimal control |
November 20 | Lecture 23 | TBD | TBD |
November 25 | Lecture 24 | Linear Quadratic Regulator (LQR) Theory | TBD |
December 2 | Lecture 25 | TBD | TBD, Midterm 2 |
December 4 | Lecture 26 | TBD | TBD |