Results 161 to 170 of about 36,359 (205)

On the discrete generalized Lyapunov equation

Automatica, 1995
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Syrmos, Vassilis L., Misra, Pradeep, Aripirala, Ravi   +2 more
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Generalized Lyapunov Equation and Factorization of Matrix Polynomials

IFAC Proceedings Volumes, 1993
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Aliev, F. A., Larin, V. B.
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Generalized Lyapunov Equations and Positive Definite Functions

SIAM Journal on Matrix Analysis and Applications, 2005
Given a positive definite matrix \(A\), the authors study three types of generalized Lyapunov equations, the first one is \[ A^3X+XA^3+t(A^2 XA+AX A^2)=B. \] the problem in question is whether this equation has a positive semidefinite solution \(X\) whenever \(B\) is positive semidefinite.
Bhatia, Rajendra, Drissi, Driss
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Some properties of generalized Lyapunov equations

2011 Chinese Control and Decision Conference (CCDC), 2011
By means of the spectral analysis method, this paper studies a class of generalized Lyapunov equations (GLEs) arising from stochastic stability. A necessary and sufficient condition is given for the existence and uniqueness of the symmetric/skew-symmetric solutions of such GLEs.
Weihai Zhang, Bor-Sen Chen
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Generalized Lyapunov equations for implicit systems

Proceedings of 32nd IEEE Conference on Decision and Control, 2002
In this paper we propose a generalized Lyapunov equation for continuous implicit systems. We discuss a framework for using the solutions of the proposed generalized Lyapunov equation to characterize properties such as asymptotic stability and nonimpulsiveness of continuous implicit systems. >
V.L. Syrmos, R. Aripirala, P. Misra
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Generalized Lyapunov equations for stable singular system

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
A linear time-invariant singular system Ex/spl dot/(t)=Ax(t)+Bu(t), y(t)=Cx(t) is treated. Two generalized Lyapunov equations for the stable system, one for controllability and the other one for observability, are constructed. The sufficient and necessary conditions for the existence of unique, positive definite solutions to the two equations are ...
null Zhou Gang, null Zhang Qinging, null Jing Haiying, null Wanquan Liu   +3 more
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Sensitivity analysis of stable generalized Lyapunov equations

Proceedings of 32nd IEEE Conference on Decision and Control, 2002
In this paper we study the sensitivity of Lyapunov equations which are encountered in generalized state-space systems of the form Ex/spl dot/=Ax, where E is nonsingular, and the system stable. Generalized systems as opposed to state-variable systems have different domain and codomain.
R. Aripirala, V.L. Syrmos
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Sensitivity Analysis of Generalized Lyapunov Equations

2005
The sensitivity of generalized matrix Lyapunov equations relative to perturbations in the coefficient matrices is studied. New local and non-local perturbation bounds are obtained.
M. M. Konstantinov, P. Hr. Petkov, N. D. Christov   +2 more
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Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations

Nonlinear Analysis: Real World Applications, 2023
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Jiang, Ke, Cao, Feng
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