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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]
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
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]
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
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
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]
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]
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
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
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

