Control System Analysis and Design Via the “Second Method” of Lyapunov: II—Discrete-Time Systems

[+] Author and Article Information
R. E. Kalman

Research Institute for Advanced Study, Baltimore, Md.

J. E. Bertram

IBM Research Center, Yorktown Heights, N. Y.

J. Basic Eng 82(2), 394-400 (Jun 01, 1960) (7 pages) doi:10.1115/1.3662605 History: Received August 24, 1959; Online November 04, 2011


The second method of Lyapunov is applied to the study of discrete-time (sampled-data) systems. With minor variations, the discussion parallels that of the companion paper on continuous-time systems. Theorems are stated in full but motivation, proofs, examples, and so on, are given only when they differ materially from their counterparts in the continuous-time case.

Copyright © 1960 by ASME
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