· Description
State equation representations for multi-input, multi-output, nonstationary linear systems. Topics include solution properties, periodic systems, stability concepts, Lyapunov stability criteria, controllability, observability, realization theory, and input-output stability.
· Professor
Professor Wilson J. Rugh, 205 Barton Hall.
Office Hours : When the door is open, or by appointment.
Email: rugh@jhu.edu
· Text
Wilson J. Rugh, Linear System Theory, Second Edition, Prentice Hall , 1996.
· Prerequisites
Roughly speaking, exposure to linear state equations, as from an undergraduate control systems course, and mathematical maturity beyond undergraduate calculus and linear algebra. (We will use very little beyond undergraduate mathematics, but we will use undergraduate mathematics in a serious way. In particular, we will concentrate on proofs of all the results we study.) If you have taken Analysis I (110.405) and Matrix Analysis and Linear Algebra (550.692), or the equivalents, then you should be well prepared. Otherwise, you may have to do some additional study of mathematical topics. (Chapter 1 of the text provides a summary of mathematical material that will be used.)
· Schedule
Classes meet MTW 9am in Barton 114.
· Structure
There will be weekly homework assignments, an in-class midterm exam, and a
final exam, the nature of which is undecided at this typing. Class methodology
will not be solely lectures from the text. (Remember, linear system theory is
not a spectator sport!)
In a graduate course such as this, homework should be an individual effort. On
the other hand, students should be encouraged to discuss the course material
and help each other with obscurities and difficulties. Let's adopt the following
compromise. Discussion of particular points on the homework is permitted, but
no notes should be carried away from the discussion. The written work you hand
in should be your own work.
Be extremely neat, precise, and concise. It is important that you learn what to include and what to omit from your solutions. Staple your homework in the upper left corner, and begin each problem, in correct order, at the top of a new page. (Sorry about the trees.)
All of the problems that will be assigned can be solved using material that we have covered to that point. (This includes possible use of the problems in Chapter 1, though often the need for such use will be pointed out in a hint.) Do not solve a problem by quoting a theorem in some reference, or by stating that the solution is an easy consequence of Theorem 5.5 in a book you found. All problems can be solved using the tools we have discussed.
Graded final exams and course grades can be picked up from a chair outside Barton 205.
· Cash Prizes
Registered 520.614 students win $2.00 for each legitimate, new text
error reported in writing. (Management reserves the right to withdraw this
offer at any time.)