نتایج جستجو برای: lyapunov equation

تعداد نتایج: 244541  

Journal: :Transactions of the Society of Instrument and Control Engineers 2007

Journal: :Physical review 2022

The continuous-time differential Lyapunov equation is widely used in linear optimal control theory, a branch of mathematics and engineering. In quantum physics, it known to appear Markovian descriptions (quadratic Hamiltonian, equations motion) open systems, typically from master equations. Despite this, the seldom considered fundamental formalism for systems. this work we aim change that. We e...

2000
R. M. Samelson

The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to a partial differential equation for the zonal flow correction. The leading Lyapunov vector is nearly parallel to the leading Floquet vector φ1 of ...

2008
Amer Kaabi A. Kaabi

This paper presents, a preconditioned version of global FOM and GMRES methods for solving Lyapunov matrix equations AX + XA = −BTB. These preconditioned methods are based on the global full orthogonalization and generalized minimal residual methods. For constructing effective preconditioners, we will use ADI spiliting of above lyapunov matrix equations. Numerical experiments show that the solut...

Journal: :Transactions of the Society of Instrument and Control Engineers 1983

Journal: :European Journal of Pure and Applied Mathematics 2023

Semiring is an algebraic structure of (S, +, ×). Similar to a ring, but without the condition that each element must have inverse adding operation. The forms +) and ×) are semigroups satisfy distributive law multiplication addition. In matrix theory, there term known as Kronecker product. This operation transforms two matrices into larger containing all possible products entries in matrices. pr...

2002
J. Doyne FARMER

We study the chaotic attractors of a delay differential equation. The dimension of several attractors computed directly from the definition agrees to experimental resolution ~vith the dimension computed from the spectrum of Lyapunov exponents according to a conjecture of Kaplan and Yorke. Assuming this conjecture to be valid, as the delay parameter is varied, from computations of the spectrum o...

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