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Method of Lyapunov Functions

2020
The celebrated Lyapunov function method (or the direct Lyapunov method) introduced in the Ph.D. thesis of A. M. Lyapunov in 1892 is a simple effective tool for stability analysis of differential equations. The main advantage of this method lies in the fact that a decision on stability or instability can be made by means of a certain investigation of ...
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New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach

IEEE Transactions on Automatic Control, 2017
Xudong Zhao   +3 more
semanticscholar   +1 more source

Lyapunov-Function and Proportional-Resonant-Based Control Strategy for Single-Phase Grid-Connected VSI With LCL Filter

IEEE transactions on industrial electronics (1982. Print), 2016
H. Komurcugil   +3 more
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Modified Model Predictive Control of a Bidirectional AC–DC Converter Based on Lyapunov Function for Energy Storage Systems

IEEE transactions on industrial electronics (1982. Print), 2016
Md. Parvez Akter   +3 more
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Control-Lyapunov functions

1999
The main objective of control is to modify the behavior of a dynamical system, typically with the purpose of regulating certain variables or of tracking desired signals. Often, either stability of the closed-loop system is an explicit requirement, or else the problem can be recast in a form that involves stabilization (e.g., of an error signal).
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