Results 11 to 20 of about 91,674 (304)

Construction of Lyapunov functions for some models of infectious diseases in vivo: From simple models to complex models

Mathematical Biosciences and Engineering, 2014
We present a constructive method for Lyapunov functions forordinary differential equation models of infectious diseases in vivo.We consider models derived from the Nowak-Bangham models.
Tsuyoshi Kajiwara, Toru Sasaki, Yasuhiro Takeuchi   +2 more
doaj   +1 more source

Lyapunov Functions for State Observers of Dynamic Systems Using Hamilton–Jacobi Inequalities

Mathematics, 2020
Lyapunov functions enable analyzing the stability of dynamic systems described by ordinary differential equations without finding the solution of such equations. For nonlinear systems, devising a Lyapunov function is not an easy task to solve in general.
Angelo Alessandri
doaj   +1 more source

Gap Functions and Lyapunov Functions

Journal of Global Optimization, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO, PASSACANTANDO, MAURO   +1 more
openaire   +1 more source

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
doaj   +1 more source

Linearly Solvable Stochastic Control Lyapunov Functions [PDF]

, 2016
This paper presents a new method for synthesizing stochastic control Lyapunov functions for a class of nonlinear stochastic control systems. The technique relies on a transformation of the classical nonlinear Hamilton-Jacobi-Bellman partial differential ...
Burdick, Joel W., Horowitz, Matanya B., Leong, Yoke Peng   +2 more
core   +3 more sources

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, Jenq-Lang Wu, Chee-Fai Yung   +2 more
doaj   +1 more source

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
doaj   +1 more source

Improved Multiple Lyapunov Functions of input-to-output Stability and input-to-state Stability for Switched Systems

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
doaj   +1 more source

T–S Fuzzy Bibo Stabilisation of Non–Linear Systems Under Persistent Perturbations Using Fuzzy Lyapunov Functions and Non–PDC Control Laws

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., Martínez Miguel, García-Nieto Sergio, Hilario Adolfo   +3 more
doaj   +1 more source

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, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source