ECE 60200 - Lumped System Theory

Credits: 3

Areas of Specialization(s):

Automatic Control

Counts as:

Normally Offered: Each Fall, Spring

Catalog Description:
An investigation of the basic theory and techniques of modern system theory, emphasizing linear state model formulations of continuous and discrete time systems in the time domain and frequency domain. Coverage includes notions of linearity, time invariance, discrete and continuous times state models, canonical forms, associated transfer functions and impulse response models, the state transition matrix, the Jordan form, controllability, observability, and stability.

Required Text(s):
  1. Linear System Theory and Design, 4th Edition, C. T. Chen, Oxford Press, 2012, ISBN No. 978-0199959570.

Recommended Text(s): None.

Lecture Outline:

Lectures Topic
3 Basic Concepts, Vocabulary, and Notation of Systems and State Models
2 Formal Definition and Examples of Linear Time Invariant and Time Varying State Models for Lumped Systems
4 Canonical State Models from Ordinary Differential Equations
2 Newton Raphson Technique and Numerical Simulation of State Models
2 Linear Discrete Time State Models: Basics and Parallel w/Continuous Time Case
2 Existence and Uniqueness of Solutions
4 State Transition and Fundamental Matrices of Linear Time Varying State Model
2 Closed Form Solution to Linear Time Varying State Model
3 Eigenvalue-Eigenvector Techniques for Computing e At
3 Discrete Time State Models
4 Impulse Response Matrices and Transfer Function Matrices
4 Controllability of Linear Time Invariant State Models
3 Observability of Linear Time Invariant State Models
4 BIBS and BIBO Stability
3 Exams