Lyapunov matrix - Open Access .click

IEEE Transactions on Automatic Control, 1981
In [5] bound for the determinant of the solution to the Lyapunov matrix equation was reported. This note gives an another bound for this value.
N Fukuma
exaly +2 more sources

The Lyapunov matrix-function

Nonlinear Analysis: Theory, Methods & Applications, 1984
For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
exaly +3 more sources

On bounds of Lyapunov's matrix equation

IEEE Transactions on Automatic Control, 1979
In this paper, new bounds are given for the matrix solution of the Lyapunov equation A'P+ PA+Q=0 . It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class of Q matrices which is given. The results are compared to those given in [1] through some examples.
J Bernussou
exaly +2 more sources

mathematics
lyapunov matrix differential equation
controllability

matrix equations and identities
fos: mathematics
eigenvalues, singular values, and eigenvectors

lyapunov functional
matrix lyapunov systems
4. education