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Dynamics of spinning test particles in Kerr spacetime [PDF]
, 2002 We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive dependence on initial ...
Hartl, Michael D.
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Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of time-delay systems with two commensurate delays and a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of the
Duda Jozef
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Connected Stability Analysis of Delay Systems via the Matrix-Valued Lyapunov Function [PDF]
International Applied Mechanics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, J.F., Wang, X.L.
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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Dwell Time for the Hurwitz Stability of Switched Linear Differential Equation Systems
Universal Journal of Mathematics and Applications, 2022 In this paper, the problem of dwell time for the Hurwitz stability of switched linear systems is considered. Dwell time is determined based on the solution of Lyapunov matrix equation for the Hurwitz stability of switched linear differential systems.
Ahmet Duman
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A necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systems [PDF]
, 2013 WeA10 Regular Session: Linear Systems I, Paper WeA10.6This paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time systems.
Chesi, G, Middleton, R H
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On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
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Lyapunov Functions Family Approach to Transient Stability Assessment [PDF]
, 2015 Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the system.
Turitsyn, Konstantin, Vu, Thanh Long
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Analysis of small oscillations of complex electrical systems [PDF]
E3S Web of Conferences, 2020 The article discusses the results of the analysis of the static stability of complex electrical systems. The efficiency of the combined application of the equations of nodal voltages (ENV) and the Lyapunov function in quadratic form for the analysis of ...
Allaev K.R., Makhmudov T.F.
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Guaranteed Cost Control for a Class of Nonlinear Discrete Time-Delay Systems
IEEE Access, 2019 The guaranteed cost control problem for a class of nonlinear discrete time-delay systems is investigated. Based on the Lyapunov matrix, a complete-type Lyapunov-Krasovskii functional is constructed.
Lanhui Zhang +3 more
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