Results 91 to 100 of about 83,795 (307)
Моделирование и анализ информационных систем, 2019 We consider the computational implementation of the algorithm for Lyapunov exponents spectrum numerical estimation for delay differential equations. It is known that for such systems, as well as for boundary value problems, it is not possible to prove ...
Vladimir E. Goryunov
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DESCRIPTOR DISCRETIZED LYAPUNOV FUNCTIONAL METHOD
IFAC Proceedings Volumes, 2006 Abstract Stability and state-feedback stabilization of linear systems with constant delays are considered. The system under consideration may be unstable without delay, but it becomes asymptotically stable for positive values of the delay. A new descriptor discretized Lyapunov Krasovskii Functional (LKF) method is introduced, which combines the ...
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Variational lyapunov method for discrete hybrid systems
Mathematical and Computer Modelling, 2003 This paper deals with the initial value problem \(\Delta y(n)=f(n,y(n))\), \(y(n_0)=y_0\). In their paper [Appl. Anal. 83, 363--376 (2004; Zbl 1055.39006)], the authors present the nonlinear variation of parameter (NVP) formula. Here they offer its improved version where the smoothness condition on \(f\) with respect to \(y\) is relaxed. In addition, a
Dontha, S., Drici, Z.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
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The Lyapunov spectrum as the Newton method [PDF]
Physica A: Statistical Mechanics and its Applications, 2012 For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton-Raphson method applied to the derivative of the pressure function.
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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Observer based output feedback repetitive learning control of robotic manipulators
IET Control Theory & ApplicationsThis work tackles the tracking control problem of robotic manipulators where the robot dynamics contains uncertain parameters and joint velocity measurements are not available.
Kadriye Merve Dogan +3 more
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Noise-Tolerant Zeroing Neural Network for Solving Non-Stationary Lyapunov Equation
IEEE Access, 2019 As a crucial means for stability analysis in control systems, the Lyapunov equation is applied in many fields of science and engineering. There are some methods proposed and studied for solving the non-stationary Lyapunov equation, such as the zeroing ...
Jingkun Yan +5 more
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Global existence of positive and negative solutions for IFDEs via Lyapunov-Razumikhin method
, 2021 Xipu Xu
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Lyapunov's Second Method for Random Dynamical Systems
Journal of Differential Equations, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arnold, Ludwig, Schmalfuss, Björn
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