Systems 220: Dynamical Modeling I
Spring 2019
Professor: Rajesh Ganesan, Ph.D.
Engineering Bldg Room 2217
Office Hours: MW- 12:45-2:45 PM
Phone: (703) 993-1693
Fax: (703) 993-1521
Email: rganesan at gmu dot edu
Plan of Study: All BS in Systems Eng Majors must meet their advisors and prepare a plan of study if this has not been done earlier. The plan of study must be submitted to Justina at the SEOR office. At the end of the semester Justina will check to see whether your plan of study is on file. If not, you will receive an IN (incomplete) grade for SYST 220. Therefore, make appointments with your advisors asap. You can find your advisor's name and office hours by checking on patriotweb or on the notice board outside the department office.
Weeks 1 and 2 class notes CN1 CN2
Introduction, Fitting models to data
Chapter 1 notes Examples: Linear, exp, and power funtions to multiple data points
HW 1: 1.19 1.26 1.27 1.28 (3rd ed)
HW 1: 1.12 1.19 1.20 1.21 (2nd ed) Due On Feb 11-13 solution
Read Chapter 1
Weeks 3, 4 CN 3
Discrete dynamical models with difference equations(not in book)
HW 2 Due Feb 25-27 solution (check your calculation against this solution)
Weeks 5, 6
2nd order discrete systems
Continuos Dy systems Models using Differential Equations CN 4
HW 3 Due March 4-6
Chapter 2 topics CN 5
1. Laplace transforms
2. Inverse Laplace
3. Solving ODE with constant RHS
4. Solving ODE with variable RHS
5. Properties of Laplace
Week 7 - revision on March 4th and Midterm on 6th March ( Read chapter 1 and discrete dynamical models)
Practice problems for midterm Set 1 Set 2
Week 8 - sp break
Week 9 - CN6
6. Stability
7. Impulse function
8. Initial and Final value theorem
Week 10
2nd midterm - Mon March 25th (read chapter 2)
No class on March 27h - Wed
Hw 4 : 2.6(b), 2.11 (f), 2.12 (b), 2.15 (c), 2.17 (a) (3rd ed) solutions
Hw 4: 3.9(b), 3.12(f), 3.13(b), 3.16(c), 3.17 (a) (2nd ed) Due Mar 18-20
Week 11
9. Transfer functions (chapter 2)
10. Free, forced, steady, and transient parts of an ODE.
Block Diagrams (chapter 5)
Week 12
Block Diagram CN 7
Convert higher order ODE to lower order
sv models
Hw 5: 2.10, 2.14(d) , 2.24(c), 2.33, 2.37 (a), 2.38 (b) (3rd ed) solutions
Hw 5: 3:11, 3.15 (d), 3.5 (c), 3.19, 3.25(a), 3.26(b) (2nd ed) Due on Apr 15-17
Weeks 13 and 14
Chapt 3 CN8
Hw 6
5.3, 5.5, 5.17, 5.21 , 5.22 (3rd ed) Due (April 22-24 )soln
9.48, 9.50, 5.3, 5.8, 5.11, 5.12 (2nd ed)
Week 15
Chapter 4 CN9
HW 7
4.3, 4.19, 4.51 (3rd ed)
4.3, 4.13, 4.34 (2nd ed) Due May 6-7soln
Hw 8 Practice (Need not submit)
3.11, 3.12, 3.19, 3.24, 3.31 (3rd ed) (soln with new numbers)
2.9, 2.10, 2.13, 2.18, 2.23 (2nd ed)
Week 16
Make up class May 7th Tuesday at 3 PM
Final revision
Final Exam May 13th - 1:30 -4:15 (starts 1 1/2 hrs early and not at 3 PM)