Results 141 to 150 of about 1,929 (184)

On the matrix riccati equation

Information Sciences, 1971
Properties of the algebraic equation A^TX+XA-XBQ"2^-^1B^TX+Q"1=0 are studied for arbitrary nonnegative definite and positive definite matrices Q"1 and Q"2. The results are used to study the possible number of stationary solutions of the Riccati equation.
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The Riccati Equation

1991
contributions by G. Ammar, T. Basar, R. Bitmead, S. Bittanti, F. M. C. Callier, P. Colaneri, G. De Nicolao, M. Gevers, V. Kucera, P. Lancaster, A. J. Laub, C.F. Martin, L. Rodman, M. A. Shayman, H. L. Trentelman, J. L. Willems, J.
BITTANTI, SERGIO, A. J. LAUB, J. C. WILLEMS   +2 more
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Note on the Riccati Equation

Journal of Mathematical Physics, 1963
A simple modification of a method introduced by R. Bellman is proposed, which under certain circumstances produces both upper and lower bounds for the solution of the Riccati equation. An application to scattering theory is suggested.
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The Riccati Equation

1986
In this chapter we wish to apply approximation techniques to the study of one of the fundamental equations of mathematical analysis, the first order nonlinear ordinary differential equation.
Richard E. Bellman, Robert S. Roth
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On damped algebraic Riccati equations

IEEE Transactions on Automatic Control, 1998
The paper extends an earlier algorithm to compute damping feedbacks for linear time-invariant systems. The main tool are damped algebraic Riccati equations which have Hermitian and skew-Hermitian solutions.
Chunyang He, J. J. Hench, Volker Mehrmann   +2 more
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On the Riccati equations

Monatshefte für Mathematik, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Discrete Riccati Matrix Equation

SIAM Journal on Algebraic Discrete Methods, 1985
This paper gives a lower bound for the determinant of the positive definite solution of the discrete algebraic Riccati matrix equation. The authors state in the introduction that many iterative methods to solve the Riccati equation require an initial guess of the solution and that the lower bound they give may be useful for estimating the ''size'' of ...
Minh Thanh Tran, Sawan, Mahmoud E.
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Matrix Riccati Differential Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of
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Controllability Conditions for the Riccati Equation

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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"Fractional Tuning" of the Riccati Equation

Fractals, 1997
The dynamics of a free-falling body in complex materials such as a polymer fluid is phenomenologically modeled using a fractional generalization of the Riccati equation. The solution exhibits a rich behavior in its parametric dependence, and unlike normal free–fall there is no terminal velocity, instead a power–law increase in time is obtained. Within
Metzler, R., Glöckle, W. G., Nonnenmacher, T. F., West, B. J.   +3 more
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