"The variable gradient method of generating Liapunov functions has been used only for continuous systems. This thesis presents an application of the variable gradient method to non-linear sampled data control systems.
Certain modifications to the variable gradient method are developed and several examples are presented which demonstrate the application. An attempt was made to synthesize the control system parameters, but due to the complexity of the ΔV functions, the synthesis in general cannot easily be obtained . To circumvent the problem of determining if the ΔV functions are negative definite, a set of computer programs were written to determine a finite region of asymptotic stability in the state space. The nonlinear difference equations are solved for several initial conditions to test the region of stability. The region was found to be a valid region, but smaller than the true region"--Abstract, page ii.
Richards, Earl F., 1923-
Joiner, James W., 1931-2013
Noack, Thomas L.
Rivers, Jack L.
Electrical and Computer Engineering
M.S. in Electrical Engineering
University of Missouri at Rolla
vii, 101 pages
© 1966 Henry N. Peterson, All rights reserved.
Thesis - Open Access
Signal processing -- Digital techniques -- Mathematics
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Electronic OCLC #
Link to Catalog Record
Peterson, Henry N., "An application of the variable gradient method of generating Liapunov functions to discrete systems" (1966). Masters Theses. 5752.