SYST611: System Methodology and Modeling

Spring   2003


            Instructor: Dr. K. C. Chang                      Class room:  ST 110

            Class time: Tu, 4:30-7:00 PM                      Office hours: M, Tu, 3:00-4:30 PM

            Office phone: (703) 993-1639                     Office no.: SITE-II: Rm 315


Course Description


            This course provides a broad, yet rigorous, introduction to methodologies for Systems Engineering.  Emphasis is on systems modeling and performance.  These methodologies address system performance issues and assist in the evaluation of alternative system designs.  Resource allocation for planning and control is also introduced.




            SYST500 or appropriate mathematical foundation including calculus, differential equations, matrix algebra, and applied probability.


Course Assignments and Grading

            This course will have homework assignments, a mid term, and a final exam.  They will constitute 30%, 30%, and 40% of the grade, respectively.  The homework that is assigned in the lecture is due in two weeks.  


Required texts

1.  David Luenberger, Introduction to Dynamic Systems, Wiley,1979.

2.     Joseph J. DiStefano, III, et al.  Theory and Problems of Feedback and Control     Systems.  2rd Edition, Schaum's outline series, McGraw-Hill, 1994



1. Bradley W. Dickinson, Systems-Analysis, Design, and Computation. Prentice Hall Inc., 1991

2. Naim A. Kheir, Systems Modeling and Computer Simulation, Dekker, 2nd ed., 1996.



Course Outline






Lecture #1

Introduction, Course Overview and Prerequisite, Taxonomy of Models and Methods, Systems Concept and  Fundamentals

DL:Ch. 1-3

JD:Ch. 1-3, Class notes

BD:Ch. 1 + Appendix A

Lecture #2

Discrete Linear Systems, Input-Output and States, Stability, Computational Approaches,

Interconnected Systems and Block Diagram

DL:Ch. 4.1-4.5

JD:Ch. 4-6, Class notes

BD:p.79-98, p.115-119

Lecture #3

Continuous Linear Systems, Stability Issues,

Systems Characteristics in Various Domains,

Discretization of Continuous Systems,

Sampling Theorem

DL:Ch. 4.6-4.7, 5.9

JD:Ch. 5,10,15

Class notes 

Lecture #4

Discretization Techniques Analysis, Stability,

Nonlinear Systems, Solution of Nonlinear Systems, Iterated Numerical methods

Class notes

JD:Ch. 19.1-2

BD:Ch. 3, 4 

Lecture #5

System Linearization and Stability,

System Behavior and Phase Plane Analysis,   Input-Output Analysis; Piece wise Linear

DL:Ch. 9.1-9.4

JD:Ch. 19.3-4

Class notes 

Lecture #6


Discrete Event Dynamic Systems; Overview of Deterministic Systems, Discrete, Continuous; Linear, Nonlinear; Discretization, Linearization; Stability; Computational Issues

Class notes


Mid term Examination

Lectures 1-6

Lecture #7

Introduction to Uncertainty and Stochastic Process, Noisy Linear Systems

Class notes 

Lecture #8

Markov Process and Markov Chains,

Systems Reliability

DL:Ch. 7

Class notes 

Lecture #9

Resource Allocation problems, Parameter Optimization, Constraints

Class notes 

BD:Ch. 5

Lecture #10

Linear Programming, Systems Engineering Applications, Case Study

Class notes

Lecture #11

Dynamic Programming, Systems Engineering Applications, Network Problem

Class notes

Lecture #12

Optimal Control

DL:Cph. 11, Class notes 


Course Review

Class notes  


Final Examination

Lectures 1-12