Results 201 to 210 of about 78,251 (234)

LYAPUNOV SPECTRA OF CORRELATED RANDOM MATRIX PRODUCTS

Modern Physics Letters B, 2000
We have numerically studied the Lyapunov spectra and the maximal Lyapunov exponent (MLE) in products of real symplectic correlated random matrices, each of which is produced by a modified Bernoulli map. As a statistical property, it has been well studied that the correlation function of the sequence of the map shows power-low decay.
TSUNEYASU OKABE, HIROAKI YAMADA
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Matrix Differential Equations and Lyapunov Transformations

1988
The main purpose of this paper is to establish necessary conditions and sufficient conditions for the existence of a solution Q(t) of the Lyapunov matrix differential equation of the form $${{dQ\left( t \right)} \over {dt}} = A\left( t \right)Q\left( t \right) - Q\left( t \right)B\left( t \right) + C\left( t \right),t \in \left[ {\gamma ,\delta ...
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On the hyper-Lyapunov matrix inclusions

Linear Algebra and its Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sparce matrix solution of the Lyapunov equation

1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes, 1975
It is well known [2, 3] that the nth order Lyapunov equation, AP+PA'=-Q, can be expanded to a n(n+1)/2 order linear vector equation and then solved using conventional linear equation methods. The purpose of this short paper is to present recent work on the sparceness of the resulting equation and the computational advantage of that sparceness, for ...
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Explicit solution of the Lyapunov-matrix equation

IEEE Transactions on Automatic Control, 1972
An explicit solution for the matrix equation PA + A'P = -Q is developed. The solution is presented in the form of a summation of n matrices. Each term in the summation is a function of the matrices Q and A as well as elements of the Schwarz form. A numerical example is considered to illustrate the method of solution.
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A theorem on the Lyapunov matrix equation

IEEE Transactions on Automatic Control, 1969
Given the Lyapunov matrix equation A'P + PA + 2\sigmaQ = 0 where σ is some positive scalar, a necessary and sufficient condition for the real parts of the eigenvalues of A to be less than -σ is that P - Q is negative definite. The condition provides an upper bound to the solution of the Lyapunov matrix equation and is useful in the design of minimum ...
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Lyapunov Revisited: Variations on a Matrix Theme

1997
In this expository note it is shown that a cone version of the Perron-Frobenius theorem implies various generalizations of a matrix form of Lyapunov’s famous theorem:
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Some Applications of the Lyapunov Matrix Equation

IMA Journal of Applied Mathematics, 1968
Barnett, S., Storey, C.
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B Lyapunov Matrix Differential Equation

2006
Christian A. Schenk, Gerhart I. Schuëller   +1 more
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Lyapunov Matrix-Based Method to Guaranteed Cost Control for A Class of Delayed Continuous-Time Nonlinear Systems

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Xin Yang, Xian Zhang, Xian Zhang
exaly