Results 11 to 20 of about 5,207,637 (277)
Energies, 2020 This paper proposes a high-performance control technique based on Lyapunov’s stability theory for a single-phase grid-connected neutral-point-clamped quasi-impedance source inverter with LCL filter.
Sertac Bayhan, Hasan Komurcugil
doaj +2 more sources
Stabilization, Lyapunov functions, and dissipation [PDF]
Systems & Control Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rapisarda, Paolo, Kojima, Chiaki
openaire +5 more sources
Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function [PDF]
Journal 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 +2 more sources
Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
core +2 more sources
Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
openaire +1 more source
Computation and Verification of Lyapunov Functions [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: 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.
Peter Giesl, Sigurdur F. Hafstein
openaire +2 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 +2 more
doaj +1 more source
IEEE 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
A Generalized Nonuniform Contraction and Lyapunov Function
Abstract 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
A discrete logarithmic function and Lyapunov function
JSIAM Letters, 2022 Summary: The Lyapunov function plays an important role in the stability theory of dynamical systems. Its counterpart for discrete dynamical systems is not studied so much, though importance of such systems is increasing. In this letter, an attempt is made to construct a discrete analog of the Lyapunov function for the competitive Lotka-Volterra ...
Isojima, Shin, Suzuki, Seiichiro
openaire +2 more sources