They are calling this material course notes but they look more like a Dynamic Systems and Control textbook. They are from one of the great MIT open courses in engeineering and computer science. The stated course objectives were:

“The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and outputs; it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, we will concentrate on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.

We will analyze the response of these systems to inputs and initial conditions. It is of particular interest to analyze systems obtained as interconnections (e.g., feedback) of two or more other systems. We will learn how to design (control) systems that ensure desirable properties (e.g., stability, performance) of the interconnection with a given dynamic system.”

This free online electrical engineering textbook *Dynamic Systems and Control* are the notes of Mohammed Dahleh, Munther A. Dahleh and George Verghese. All are affiliated with MIT. The chapters are offered as a series of individual PDF files.

This is a graduate-level course. This might not be a complete list but the prerequisites include: Physics II, Signals and Systems course, Linear Algebra, Calculus II, Feedback System Design, Dynamics and Control I and Differential Equations.

## Table of Contents for *Dynamic Systems and Control* Textbook

- Chapter 1: Linear Algebra Review
- Chapter 2: Least Squares Estimation
- Chapter 3: Least Squares solution of y = < a, x >
- Chapter 4: Matrix Norms and Singular Value Decomposition
- Chapter 5: Matrix Perturbations
- Chapter 6: Dynamic Models
- Chapter 7: State-space Models
- Chapter 8: Simulation / realization
- Chapter 9: (not included in free online text)
- Chapter 10: Discrete-time Linear State-space Models
- Chapter 11: Continuous-time Linear State-space Models
- Chapter 12: Modal Decompostion of State-space Models
- Chapter 13: Internal (Lyapunov) Stability
- Chapter 14: Internal Stability for LTI Systems
- Chapter 15: External Input-output Stability
- Chapter 16: (not included in free online text)
- Chapter 17: Interconnected Systems and Feedback: Well-posedness, Stability, and Performance
- Chapter 18: Performance of Feedback Systems
- Chapter 19: Robust Stability in SISO Systems
- Chapter 20: Stability Robustness
- Chapter 21: Robust Performance and Introduction to the Structured Singular Value Function
- Chapter 22: Reachability of DT LTI Systems
- Chapter 23: (not included in free online text)
- Chapter 24: Observability
- Chapter 25: Minimal State-space Realization
- Chapter 26: Balanced Realization
- Chapter 27: Poles and Zeros of MIMO Systems
- Chapter 28: Stabilization: State Feedback
- Chapter 29: Observers, Model-based Controllers
- Chapter 30: Minimality and Stability of Interconnected Systems

Visit: Dynamic Systems and Control