Results 251 to 260 of about 16,456 (286)

Logical composition of Lyapunov functions

International Journal of Control, 2011
This article introduces the use of R-functions to compose single Lyapunov functions (LFs) via classic Boolean operators, with the aim to obtain a rich family of non-conventional, generally non-convex functions. The main benefit of the proposed composition is the nice geometric interpretation, since it corresponds to intersection and union operations in
BALESTRINO, ALDO, CAITI A, CRISOSTOMI, EMANUELE   +2 more
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On the Construction of Lyapunov Functions

SIAM Journal on Applied Mathematics, 1969
the same. These results are used to obtain new instability results for the Hill equation which extend the classical results of Lyapunov and Haupt. Finally, we show that a Lyapunov function for w' = 2Bw can be used to algorithmically obtain a Lyapunov function for y' = By along with certain verifiable conditions from which stability properties of y ...
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Construction of Lyapunov functions

1997
Several designs in the preceding chapters require the knowledge of Lyapunov functions which need to be constructed during the design.
Mrdjan J. Jankovic, Petar V. Kokotovic, Rodolphe Sepulchre   +2 more
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Control Lyapunov Functions

2020
The present chapter is centered around the CLF paradigm that underlies the principal feedback design methods such as Bellman dynamic programming in optimal control and nonlinear \(\mathscr {H}_\infty \) approach in the robust synthesis. CLFs are first illustrated with quadratic forms, which result in a simple LMI criterion of the asymptotic stability ...
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Recursive Lyapunov Functions

Journal of Dynamic Systems, Measurement, and Control, 1989
The paper presents the concept of recursive Lyapunov function. The concept is applied to investigation of asymptotic stability problem of autonomous systems. The sequence of functions {Uα(i)} and corresponding performance measures λ(i) are introduced. It is proven that λ(i+1) ≤ λ(i) and in most cases the inequality is a strong one. This fact leads to a
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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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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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Sexual health among adolescent and young adult cancer survivors: A scoping review from the Children's Oncology Group Adolescent and Young Adult Oncology Discipline Committee

Ca-A Cancer Journal for Clinicians, 2021
Brooke Cherven, Sharon L Bober, Kristin Bingen   +2 more
exaly  

Lyapunov functions

2023
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Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions

Nonlinear Analysis: Theory, Methods & Applications, 1996
V. Lakshmikantham, S. Köksal
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