Results 21 to 30 of about 92,165 (305)

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

open access: yesInternational 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
doaj   +1 more source

Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems [PDF]

open access: yes, 2006
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics ...
de Queiroz, Marcio S.   +2 more
core   +4 more sources

LyapXool – a program to compute complete Lyapunov functions

open access: yesSoftwareX, 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
doaj   +1 more source

Flexible Lyapunov Functions and Applications to Fast Mechatronic Systems [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
The property that every control system should posses is stability, which translates into safety in real-life applications. A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs ...
Mircea Lazar
doaj   +1 more source

Lyapunov exponents in N=2 supersymmetric Jackiw-Teitelboim gravity

open access: yesPhysics Letters B, 2022
We study N=2 supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance in the SCFT dual, there are
Ruben Campos Delgado, Stefan Förste
doaj   +1 more source

Further Results on Lyapunov Functions for Slowly Time-Varying Systems

open access: yes, 2006
We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially ...
Malisoff, Michael, Mazenc, Frederic
core   +3 more sources

On Vector Lyapunov Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1971
It has been proved that the use of a vector Lyapunov function is more advantageous in certain situations rather than a scalar function. Moreover, each function needs to satisfy less rigid requirements. In this paper a new situation has been considered where vector Lyapunov functions play a further useful role. For this purpose, a new type of stability,
openaire   +1 more source

Lyapunov functions via Whitney's size functions [PDF]

open access: yes, 2014
In this paper we present a technique for constructing Lyapunov functions based on Whitney's size functions. Applications to asymptotically stable equilibrium points, isolated sets, expansive homeomorphisms and continuum-wise expansive homeomorphisms are ...
Artigue, Alfonso
core  

Current Tracking Adaptive Control of Brushless DC Motors

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García   +3 more
wiley   +1 more source

Joint Spectral Radius and Path-Complete Graph Lyapunov Functions

open access: yes, 2013
We introduce the framework of path-complete graph Lyapunov functions for approximation of the joint spectral radius. The approach is based on the analysis of the underlying switched system via inequalities imposed among multiple Lyapunov functions ...
Ahmadi A. A.   +8 more
core   +1 more source

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