By Topic

Two theorems on the number of real roots of the characteristic equation of any stable linear physical system

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Koenig, J. F. ; George Washington University, Washington, D. C.

THE TIME RESPONSE to a disturbance in any linear system depends upon the initial conditions, the disturbance, and the roots of the characteristic equation. The response will be bounded (stable) if, and only if, all roots have negative real parts. The response is the sum of a particular integral (PI) and a complementary function (CF). The PI is often called the steady-state part of solution and the CF the transient part of the solution.

Published in:

American Institute of Electrical Engineers, Part II: Applications and Industry, Transactions of the  (Volume:77 ,  Issue: 6 )