Results 31 to 40 of about 4,419,275 (304)
On the Ψ−uniform asymptotic stability of nonlinear Lyapunov matrix differential equations [PDF]
ITM Web of Conferences, 2022 This paper deals with obtaining (necessary and) sufficient conditions for Ψ− uniform asymptotic stability of solutions of nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
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Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations [PDF]
Journal of Computational and Applied Mathematics, 2016 In the numerical treatment of large-scale Sylvester and Lyapunov equations, projection methods require solving a reduced problem to check convergence.
Davide Palitta, V. Simoncini
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A Hill-Pick matrix criterion for the Lyapunov order
Journal of Mathematical Analysis and Applications, 2022 The Lyapunov order appeared in the study of Nevanlinna-Pick interpolation for positive real odd functions with general (real) matrix points. For real or complex matrices $A$ and $B$ it is said that $B$ Lyapunov dominates $A$ if \begin{equation*} H=H^*,\quad HA+A^*H \geq 0 \quad \implies \quad HB+B^*H \geq 0.
S. ter Horst, A. van der Merwe
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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 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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Solution of the Lyapunov matrix equation
Electronics Letters, 1966 An estimate is given for the reduction obtained by introducing a skew-symmetric matrix in the number of Operations needed to solve the matrix equation A'L+LA = −C. Also, an iterative scheme is suggested whereby the order of the largest matrix to be inverted can be reduced to 2n−3.
S. Barnett, C. Storey
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Lyapunov inequalities and applications
, 2021 This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic.
Bohner, Martin +9 more
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Novel Robust Stability Criteria for Uncertain Stochastic Neural Networks with Time-Varying Delay [PDF]
International Journal of Computational Intelligence Systems, 2009 This paper considers the robust stability analysis problem for a class of uncertain stochastic neural net- works with time-varying delay. Based on the Lyapunov functional method, and by resorting to the new technique for estimating the upper bound of the
Yunrui Guo, Yonggang Chen, Wenlin Li
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On the Lyapunov Matrix for Integral Delay Systems with a Class of General Kernel
IFAC-PapersOnLine, 2019 We study integral delay systems with exponential kernel. The computation of the Lyapunov matrix is shown to reduce to an auxiliary system of differential equations with boundary conditions of mixed type. We prove that the solution of the auxiliary system
Rey Ortiz, S. Mondié
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HURWITZ MATRIX, LYAPUNOV AND DIRICHLET ON THE SUSTAINABILITY OF LYAPUNOV’S
Tambov University Reports. Series: Natural and Technical Sciences, 2018 The concepts of Hurwitz, Lyapunov and Dirichlet matrices are introduced for the convenience of the stability of linear systems with constant coefficients. They allow us to describe all the cases of interest in the stability theory of linear systems with constant coefficients.
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