Results 21 to 30 of about 7,527 (244)
Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints
IEEE Access, 2020 This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced for solving the considered problem.
Jia-Yao Jhang +2 more
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Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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Stability of Fuzzy Dynamical Systems via Lyapunov Functions
International Journal of Differential Equations, 2020 The purpose of this paper is to introduce the concept of fuzzy Lyapunov functions to study the notion of stability of equilibrium points for fuzzy dynamical systems associated with fuzzy initial value problems, through the principle of Zadeh.
Abdelati El Allaoui +2 more
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Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]
Nonlinear Processes in Geophysics, 2019 The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
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Computation and Verification of Lyapunov Functions [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF (Radial Basis Function) and CPA (Continuous Piecewise Affine) methods. While the first method lacks a
Peter Giesl, Sigurdur F. Hafstein
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International Journal of Applied Mathematics and Computer Science, 2020 This paper develops an innovative approach for designing non-parallel distributed fuzzy controllers for continuous-time non-linear systems under persistent perturbations. Non-linear systems are represented using Takagi–Sugeno fuzzy models.
Salcedo José V. +3 more
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Journal of Advanced Transportation, 2022 This paper investigates the Lyapunov characterizations of input-to-output stability (IOS) and input-to-state stability (ISS) for nonlinear switched systems.
Shizhang Chen, Chongyang Ning
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Lyapunov Functions to Caputo Fractional Neural Networks with Time-Varying Delays
Axioms, 2018 One of the main properties of solutions of nonlinear Caputo fractional neural networks is stability and often the direct Lyapunov method is used to study stability properties (usually these Lyapunov functions do not depend on the time variable).
Ravi Agarwal +2 more
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Universal Gorban’s Entropies: Geometric Case Study
Entropy, 2020 Recently, A.N. Gorban presented a rich family of universal Lyapunov functions for any linear or non-linear reaction network with detailed or complex balance.
Evgeny M. Mirkes
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LyapXool – a program to compute complete Lyapunov functions
SoftwareX, 2019 LyapXool is a C++ program to compute complete Lyapunov functions and their orbital derivatives for any two- or three-dimensional dynamical system expressed by an autonomous ordinary differential equation.
Carlos Argáez +4 more
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