NODAL INTEGRAL METHOD FOR COMPLEX GEOMTRIES USING HIGHER ORDER ELEMENTS

2018 ◽  
Author(s):  
Rishabh Prakash Sharma ◽  
Neeraj Kumar
Keyword(s):  
Integral Method ◽  
Higher Order ◽  
Nodal Integral Method

An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems

1965 ◽  
Vol 32 (3) ◽  
pp. 569-575 ◽  
Author(s):  
J. A. Walker ◽  
L. G. Clark
Keyword(s):  
Asymptotic Stability ◽  
Integral Method ◽  
Autonomous Systems ◽  
Liapunov Function ◽  
Higher Order ◽  
Phase Variable ◽  
Variable Form ◽  
Function Generation ◽  
Liapunov Functions

A method is developed for generating Liapunov functions with which to determine the domain of asymptotic stability for nonlinear autonomous systems of any order, so long as these systems may be represented in phase variable form. The method is illustrated by several examples of higher order.

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