Results 161 to 170 of about 31,256 (206)

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 Periodic Riccati Equation

1991
The history of the time-varying Riccati equation can be traced back to Riccati’s original manuscripts of 1715–1725. Indeed, the major concern of Count Riccati was to study the problem of the separation of variables in quadratic and time-varying scalar differential equations [1].
BITTANTI, SERGIO, COLANERI, PATRIZIO, DE NICOLAO G.   +2 more
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Algebraic Riccati Equations

1995
Abstract This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions.
Peter Lancaster, Leiba Rodman
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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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On the Solvability of Extended Riccati Equations

IEEE Transactions on Automatic Control, 2004
The Kalman-Yakubovich-Popov lemma, which gives necessary and sufficient conditions for solvability of matrix Lur'e-Riccati equations, is a milestone in modern control theory. There are, however, important and general extensions of this lemma that have not been studied yet.
Nikita E. Barabanov, Romeo Ortega
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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 the Riccati equations

Monatshefte für Mathematik, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 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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