Results 11 to 20 of about 112,131 (249)

Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints

open access: yesIEEE 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
doaj   +1 more source

Lyapunov Modes and Time-Correlation Functions for Two-Dimensional Systems [PDF]

open access: yes, 2005
The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov modes
Morriss, Gary P., Taniguchi, Tooru
core   +3 more sources

Gap Functions and Lyapunov Functions

open access: yesJournal of Global Optimization, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO   +1 more
openaire   +1 more source

Modeling Lyapunov Control-Based Selective Harmonic Compensated Single-Phase Inverter in the Dynamic Phasor Domain

open access: yesIEEE Open Journal of Industry Applications, 2023
Single-phase grid-forming inverters are commonly used in uninterruptible power supply (UPS) systems that feed single-phase critical loads in homes, data centers, and hospitals.
Udoka C. Nwaneto   +2 more
doaj   +1 more source

Constructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems [PDF]

open access: yes, 2006
We provide explicit closed form expressions for strict Lyapunov functions for time-varying discrete time systems. Our Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of ...
Albertini   +24 more
core   +6 more sources

Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]

open access: yes, 2018
As the use of viscoelastic materials becomes increasingly popular, stability of viscoelastic structures under random loads becomes increasingly important.
Gu, J, Li, X, Ma, F, Xu, W
core   +2 more sources

Explicit Reference Governor for Continuous Time Nonlinear Systems Subject to Convex Constraints [PDF]

open access: yes, 2014
This paper introduces a novel closed-form strategy that dynamically modifies the reference of a pre-compensated nonlinear system to ensure the satisfaction of a set of convex constraints.
Garone, Emanuele, Nicotra, Marco M.
core   +1 more source

Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function

open access: yesJournal of Control Science and Engineering, 2017
The stabilization of a Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. The key of designing control laws by Lyapunov control method is the construction of Lyapunov function.
Jie Wen, Yuanhao Shi, Xiaonong Lu
doaj   +1 more source

Lyapunov constraints and global asymptotic stabilization [PDF]

open access: yes, 2011
In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints).
Grillo, Sergio   +2 more
core   +1 more source

A Generalized Nonuniform Contraction and Lyapunov Function

open access: yesAbstract and Applied Analysis, 2012
For nonautonomous linear equations x′=A(t)x, we give a complete characterization of general nonuniform contractions in terms of Lyapunov functions. We consider the general case of nonuniform contractions, which corresponds to the existence of what we ...
Fang-fang Liao   +2 more
doaj   +1 more source

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