Results 31 to 40 of about 78,251 (234)
Asymptotics of finite system Lyapunov exponents for some random matrix ensembles [PDF]
, 2015 For products $P_N$ of $N$ random matrices of size $d \times d$, there is a natural notion of finite $N$ Lyapunov exponents $\{\mu_i\}_{i=1}^d$. In the case of standard Gaussian random matrices with real, complex or real quaternion elements, and extended ...
Forrester, Peter J.
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On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems
Advances in Fuzzy Systems, 2008 We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of
M. S. N. Murty, G. Suresh Kumar
doaj +1 more source
Small gain theorems for large scale systems and construction of ISS Lyapunov functions
, 2009 We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inputs.
Dashkovskiy, Sergey N. +2 more
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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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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
wiley +1 more source
Numerical methods for large-scale Lyapunov equations with symmetric banded data
, 2018 The numerical solution of large-scale Lyapunov matrix equations with symmetric banded data has so far received little attention in the rich literature on Lyapunov equations.
Palitta, Davide, Simoncini, Valeria
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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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Universality in chaos: Lyapunov spectrum and random matrix theory [PDF]
Physical Review E, 2018 5 pages + supplementary materials. v2: minor corrections, references added. v3: a lot more evidence added. v4: the version appeared in Phys.
Hanada, Masanori +2 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
Atmosphere, 2023 In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
doaj +1 more source