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On some applications of Lyapunov functions
The paper deals with an investigation of an asymptotic behaviour of differential equations using of Lyapunov functions.
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
The use of Lyapunov functions in uniqueness and nonuniqueness theorems
The attention is paid to using Lyapunov functions in uniqueness and nonuniqueness theorems. The survey of nonuniqueness results is given....
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Application of first integrals in the construction of the Lyapunov function for the random response stability testing
for the construction of Lyapunov function for the analysis of a dynamic system stability of the Lyapunov function. A number of these constraints has their physical interpretation with reference to system stability...
Civil engineering
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Lyapunov functions to analyse stability regions of aeroelastic equation
Lyapunov methodand thus construction of an invariant function (first integral the physical interpretation of the Lyapunov function and the steps necessary to work in the stochastic domain are presented. Because of...
JM - Inženýrské stavitelství
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Structured Lyapunov functions for synchronization of identical affine-in-control agents-Unified approach
This paper brings structured Lyapunov functions guaranteeing cooperative state linear systems motivate the structure of proposed Lyapunov functions.The obtained structured functions are applied to cooperative synch...
BC - Teorie a systémy řízení
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Optimal fuzzy controller based on non-monotonic Lyapunov function with a case study on laboratory helicopter
based on the non-monotonic Lyapunov function. Non-monotonic Lyapunov stability Lyapunov function, this paper proceeds reformulation of the observer-based optimal fuzzy state feedback controller based on c...
Automation and control systems
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Optimization of Linear Differential Systems with Delay by Lyapunov?s Direct Method
Direct Lyapunov?s method is applied to solve optimization problems for linear differential equations with delay. Optimal control functions minimizing quality criteria are found....
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Optimization of Linear Differential Systems with Delay by Lyapunov?s Direct Method
Direct Lyapunov?s method is applied to solve optimization problems for linear differential equations with delay. Optimal control functions minimizing quality criteria are found....
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Monotonic return to steady nonequilibrium
We propose a new candidate Lyapunov function for relaxation towards general nonequilibrium steady states which is is obtained from the large-time asymptotics of time-symmetric ?uctuations. We show that it significantly improves on t...
BE - Teoretická fyzika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On parameter-dependent Lyapunov functions for robust stability of linear systems
For a linear system affected by real parametric uncertainty, this paper focuses on robust stability analysis via quadratic-in-the-state Lyapunov functions polynomially a parameterdependent Lyapunov function of give...
BC - Teorie a systémy řízení
- 2004 •
- A
Rok uplatnění
A - Audiovizuální tvorba
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