EE263 - Introduction to Linear Dynamical Systems.
State transition matrix, time varying systems, the fundamental matrix. Structural properties of linear systems: controllability, observability and stability, realizations and minimality. Synthesis of linear controllers, pole placement, state feedback, observer design. Advance topics: Linear Quadratic Regulator theory, introduction to robust.This is the course homepage for CDS 131, Fall 2019. This course is intended for first year graduate students in controls, advanced undergraduates in EE, ChE, and ME who have taken a basic controls course (e.g., CDS 110, ChE 105, EE 113), and motivated graduate students in other disciplines would would like to learn more about linear systems and control.Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems. Topics include: Least-squares aproximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition.
The course deals with the theoretical aspects of linear dynamic systems as they apply to engineering modeling, analysis and design. The mathematical concepts of time and complex frequency domain representation of linear dynamic systems are covered in detail. Furthermore, the theoretical foundations and application of system stability are.A linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications.
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