Synthesis by Liapunov’s Direct Method

[+] Author and Article Information
J. L. Peczkowski

Bendix, Energy Controls Division, South Bend, Ind.

J. Dyn. Sys., Meas., Control 93(3), 151-156 (Sep 01, 1971) (6 pages) doi:10.1115/1.3426490 History: Received July 23, 1970; Online July 13, 2010


This paper discusses the inverse Liapunov problem, that is, the problem of synthesis of systems to satisfy given Liapunov functions. Vector-matrix equations are developed which represent classes of systems that satisfy specified Liapunov scalar functions. The equations form a basis for direct synthesis of systems to match Liapunov performance criteria. Examples illustrate techniques.

Copyright © 1971 by ASME
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