<DOC>
<DOCNO>
367
</DOCNO>
<TITLE>
control system and analysis and design via the second method of
lyapunov .
</TITLE>
<AUTHOR>
kalman, r. e. and bertram, j. e.
</AUTHOR>
<BIBLIO>
trans. asme. series d, v. 82, june 1960 .
</BIBLIO>
<TEXT>
the/second method/of lyapunov is the most general approach currently in
the theory of stability of dynamic systems . after a rigorous exposition
 of the fundamental concepts of this theory, applications are made to/a/
stability of linear stationary, linear nonslationary, and nonlinear
systems,./b/estimation of transient behavior,./c/control-system
optimization,./d/design of relay servos . the discussion is essentially
self-contained, with emphasis on the thorough development of the principal
ideas and mathematical tools . only systems governed by differential
equations are treated here . systems governed by difference
equations are the subject of a companion paper .
</TEXT>
</DOC>
