A Novel Lyapunov Functional for Stability of Time-Varying Delay Systems via Matrix-Refined-Function
Automatica, 2017 This paper is concerned with the development of novel stability criteria for time-varying delayed systems. To this end, a new function which consisted of two quadratic functions with a special structural matrix is established to be a Lyapunov functional ...
Ju H. Park, Tae H Lee
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Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
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Journal of High Energy Physics, 2019 We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production.
Hrant Gharibyan +3 more
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Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays [PDF]
AUT Journal of Electrical Engineering, 2021 Time-delay in dynamical systems is often a source of instability and poor performance which presents in many applications. This paper deals with the robust control problem for class of uncertain linear neutral systems with multiple state and state ...
Salman Baroumand, Bita Labibi
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Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function [PDF]
Kybernetika, 2018 summary:In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for ...
Vijayakumar S. Muni, Raju K. George
openaire +4 more sources
Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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Lyapunov matrices approach to the parametric optimization of time-delay systems
Archives of Control Sciences, 2015 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Józef
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Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
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