Boston University

College of Engineering

Division of Systems Engineering




(4 credits)



Professor Christos G. Cassandras

PHO (8 St. Mary's St.), Room 425,

TEL: 353-7154, E-MAIL:, WWW:



• Organization:      Lectures: M,W 12:00-2:00PM, PHO 404/428


• Prerequisites:      EK 500 or equivalent


• Requirements:

1. Homework Assignments and Presentation(s)


2. Course project and report



• Objectives:           

1. Learn about Discrete Event Systems (DES) as well as Hybrid Systems (HS) that combine both continuous (time-driven) and discrete (event-driven) dynamics and about their applications in many different domains (multi-agent systems, communication and sensor networks, manufacturing, transportaion, etc),

2. Develop the ability to conceptualize cutting-edge issues in the DES and HS domain, and formulate problems for potential research purposes.  


• Office Hours:       Monday, 2-3pm.


• Required Books: Cassandras, C.G., and Lafortune, S., Introduction to Discrete Event Systems, 2nd Edition, Springer, 2007. 




1. Review of system theory fundamentals

2. Untimed DES Models: Automata, Petri Nets

3. Timed Models: Timed Automata, Timed Petri Nets, max-plus algebra models

4. Monte Carlo computer simulation: principles, pitfalls, applications using commercial software tools (e.g., SimEvents see

5. Stochastic models, queueing theory

6. Markov Decision Process theory

7. Perturbation Analysis and Rapid Learning methods

8. Hybrid Systems: Hybrid Automata, Mixed Logical Dynamical systems, Stochastic Flow Models

9. Introduction to the analysis and control of Hybrid Systems








Baccelli, F., G. Cohen, G.J. Olsder, and J.-P. Quadrat, "Synchronization and Linearity: An Algebra for Discrete Event Systems", Wiley, Chichester, 1992.


Ho, Y.C., and X. Cao, "Perturbation Analysis of Discrete Event Dynamic Systems", Kluwer Academic Publishers, Boston, 1991.


Law, A.M., and W.D. Kelton,"Simulation Modeling and Analysis", McGraw-Hill, New York, 1991.

Ross, S.M., "Introduction to Stochastic Dynamic Programming", Academic Press, New York, 1983.

Proceedings of the IEEE, Special Issue on Hybrid Systems, (P. Antsaklis, Ed.), Vol. 88, 7, 2000.

Cassandras, C.G, and Lygeros, J., (Ed’s), "Stochastic Hybrid Systems”, CRC Press, 2007.