Results 201 to 210 of about 3,985,897 (236)

On the Lyapunov matrix differential equation

IEEE Transactions on Automatic Control, 1986
A lower bound for the determinant of the solution to the Lyapunov matrix differential equation is derived. It is shown that this bound is obtained as a solution to a simple scalar differential equation. In the limiting case where the solution to the Lyapunov differential equation becomes stationary, the result reduces to one of the existing bounds for ...
Mori, Takehiro, Fukuma, Norio, Kuwahara, Michiyoshi   +2 more
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Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach

IEEE Transactions on Automatic Control, 2010
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Thang Nguyen-Tien, Zoran Gajic
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Bounds in the Lyapunov matrix differential equation

IEEE Transactions on Automatic Control, 1987
Upper and lower bounds for the trace of the solution of the Lyapunov matrix differential equation are derived. It is shown that they are obtained as solutions to simple scalar differential equations. As a special case, the bounds for the stationary solution give ones for the solution to the Lyapunov algebraic equation.
Mori, T., Fukuma, N., Kuwahara, M.
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Solving the singularly perturbed matrix differential Riccati equation: A Lyapunov equation approach

Proceedings of the 2010 American Control Conference, 2010
In this paper, we study the finite time (horizon) optimal control problem for singularly perturbed systems. The solution is obtained in terms of the corresponding solution of the algebraic Riccati equation and the decomposition of the singularly perturbed differential Lyapunov equation into reduced-order differential Lyapunov/Sylvester equations.
Thang Nguyen 0002, Zoran Gajic
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Upper and lower bounds for the solution of the Lyapunov matrix differential equation

Linear and Multilinear Algebra
Jianzhou Liu, Ze Zhang, Wenlong Zeng, Fuying Tang   +3 more
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Solution of the Lyapunov matrix differential equations by the frequency method

Journal of Computer and Systems Sciences International, 2016
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D. E. Kataev, I. B. Yadykin
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Stability and the matrix Lyapunov equation for delay differential systems

International Journal of Control, 1989
Abstract Asymptotic stability independent of the delay of linear differential delay systems with commensurate and non-commensurate delays is analysed using 2-D (two-dimensional) and n-D (n-dimensional) state-space models. Sufficient conditions for stability are obtained in terms of the frequency dependent 1-D (one-dimensional) Lyapunov equations.
P. Agathoklis, S. Foda
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The analytic structure of periodic solutions of a Lyapunov type matrix differential equation

Differential Equations, 2000
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Lapitinskij, V. N., Livinskaya, V. A.
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Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation

Asian Journal of Control, 2016
AbstractIn this paper, we offer several lower bounds on eigenvalue summation for the solution of the Lyapunov matrix differential equation applying index matrix eigenvalue inequalities and Hölder inequality. Further, we give a numerical example to illustrate the effectiveness of the derived bounds.
Zhang, Juan, Liu, Jianzhou, Huang, Hao
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A numerical approach based on Bernstein collocation method: Application to differential Lyapunov and Sylvester matrix equations

Mathematics and Computers in Simulation, 2023
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Lakhlifa Sadek, Ahmad Sami Bataineh, Osman Rasit Isik, Hamad Talibi Alaoui, Ishak Hashim   +4 more
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