Results 11 to 20 of about 10,321,079 (247)

ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS

open access: yesDemonstratio Mathematica, 2009
AbstractWe prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.
Murty, M. S. N.   +3 more
openaire   +3 more sources

Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]

open access: yes, 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
core   +2 more sources

On Controllability of Fuzzy Dynamical Matrix Lyapunov Systems

open access: yesAnnals of West University of Timisoara - Mathematics, 2013
Summary: In this paper, we provide a way to combine matrix Lyapunov systems with fuzzy sets to form a new system called fuzzy dynamical matrix Lyapunov system and obtain a suffcient condition for the controllability of this system.
Murty, M. S. N.   +3 more
openaire   +2 more sources

Lyapunov matrices approach to the parametric optimization of time-delay systems

open access: yesArchives 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
doaj   +1 more source

Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays [PDF]

open access: yesAUT 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
doaj   +1 more source

Quantum Lyapunov spectrum

open access: yesJournal 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
doaj   +1 more source

Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]

open access: yes, 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
core   +1 more source

Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays

open access: yesArchives 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
doaj   +1 more source

The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

open access: yesJournal 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
doaj   +1 more source

Kronecker Product based Stability Tests and Performance Bounds for a Class of 2D Continuous-Discrete Linear Systems [PDF]

open access: yes, 2002
This paper reports further development of the so-called 1D Lyapunov equation based approach to the stability analysis of differential linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both practical and ...
Owens, D H, Rogers, E
core   +2 more sources

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