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Electronic equivalent of a mechanical impact oscillator. [PDF]
Denysenko V, Balcerzak M, Dabrowski A.
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DNA color image encryption based on conservative chaotic system. [PDF]
Yan M, Liu M, Li C.
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Generalized Lyapunov Equations and Positive Definite Functions
SIAM Journal on Matrix Analysis and Applications, 2005Given 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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Lyapunov-type stability criterion for periodic generalized Camassa–Holm equations
Nonlinear Analysis: Real World Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Ke, Cao, Feng
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Sensitivity analysis of stable generalized Lyapunov equations
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, Vassilis L. Syrmos
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Lyapunov and free energy functionals of generalized Fokker–Planck equations
Physics Letters A, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Till D Frank
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Some properties of generalized Lyapunov equations
2011 Chinese Control and Decision Conference (CCDC), 2011By 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, 2002In 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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On the discrete generalized Lyapunov equation
Automatica, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Syrmos, Vassilis L. +2 more
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