Results 291 to 300 of about 10,725,924 (346)

What is the most suitable Lyapunov function

, 2021
P. Zhou, Xikui Hu, Zhigang Zhu, Jun Ma
semanticscholar   +1 more source

Constructions of Strict Lyapunov Functions

2009
The construction of strict Lyapunov functions is a challenging problem that is of significant ongoing research interest. Although converse Lyapunov function theory guarantees the existence of strict Lyapunov functions in many situations, the Lyapunov functions that converse theory provides are often abstract and nonexplicit, and therefore may not lend ...
Malisoff, Michael, Mazenc, Frédéric
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PERSISTENT SETS VIA LYAPUNOV FUNCTIONS

Nonlinear Analysis: Theory, Methods & Applications, 1979
A modeler may understand the basic dynamics of a biological system, but there are always some forces, perhaps due to the effects of a random environment, that he does not understand or cannot predict. In this situation it may not be feasible to predict exact trajectories of the system, but it may be important to determine whether the system stays in an
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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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Using Lyapunov Functions to Construct Lyapunov Functionals for Delay Differential Equations

SIAM Journal on Applied Dynamical Systems, 2015
Given that a Lyapunov function is known for a particular system, we outline an approach for determining terms in the system that can be replaced by similar terms that include delay, without changing the global stability. The approach is based on adding integral terms to the original Lyapunov function so that the new Lyapunov derivative is still ...
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Nondecreasing Lyapunov functions

2014
We propose the notion of nondecreasing Lyapunov functions which can be used to prove stability or other properties of the system in question. This notion is in particular useful in studying switched or hybrid systems. We illustrate the concept by a general construction of such a nondecreasing Lyapunov function for a class of planar hybrid systems.
Defoort, Michael, Djemai, Mohamed, Trenn, Stephan   +2 more
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Adaptive Neural Network Control of a Marine Vessel With Constraints Using the Asymmetric Barrier Lyapunov Function

IEEE Transactions on Cybernetics, 2017
Wei He, Zhao Yin, Changyin Sun
semanticscholar   +1 more source

New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach

IEEE Transactions on Automatic Control, 2017
Xudong Zhao, P. Shi, Yunfei Yin, S. Nguang   +3 more
semanticscholar   +1 more source

Vector-Lyapunov-Function-Based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems

IEEE Transactions on Automatic Control, 2019
W. Ren, J. Xiong
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Enhancing Stability in Autonomous Control Systems Through Fuzzy Gain Scheduling (FGS) and Lyapunov Function Analysis

International Journal of Applied and Computational Mathematics
R. Venkatesh, Deepak Dasaratha Rao, V. Sangeetha, Ch. Subbalakshmi, Dr. Bala Dhandayuthapani Veerasamy, R. Mekala   +5 more
semanticscholar   +1 more source