Results 271 to 280 of about 10,725,924 (346)

An Enhanced Lyapunov-Function Based Control Scheme for Three-Phase Grid-Tied VSI With LCL Filter

IEEE Transactions on Sustainable Energy, 2019
In this paper, an enhanced Lyapunov-function based control scheme is proposed for three-phase grid-tied LCL-filtered voltage source inverters (VSIs). The grid-tied VSI is modeled in the synchronously rotating dq-frame.
I. Sefa, S. Ozdemir, H. Komurcugil, N. Altin   +3 more
semanticscholar   +1 more source

Stability and stabilization of continuous‐time switched systems: A multiple discontinuous convex Lyapunov function approach

International Journal of Robust and Nonlinear Control, 2018
In this paper, the problems of stability and stabilization are considered for a class of switched linear systems with slow switching and fast switching.
Ruihua Wang, Linlin Hou, Guangdeng Zong, S. Fei, Dong Yang   +4 more
semanticscholar   +1 more source

Lyapunov and Lyapunov-like functions

2007
Lyapunov functions are crucial in the present book aims, given the strict relation between Lyapunov functions and invariant sets. In this chapter, basic notions of Lyapunov and Lyapunov-like functions will be presented. Before introducing the main concept, a brief presentation of the class of dynamic models will be considered and some preliminary ...
Franco Blanchini, Stefano Miani
openaire   +1 more source

Optimization of lyapunov functionals

Meccanica, 1975
The problem of optimality of Lyapunov Functionals is posed in terms of the requirements of a specific problem. The optimizationprocess is based on a method used to construct Lyapunov Functionals called “Path Integral Synthesis” proposed by the authors.
Golia, Carmine, Abel, Jacob M.
openaire   +2 more sources

Robust Minkowski–Lyapunov functions

Automatica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Weak Converse Lyapunov Theorems and Control-Lyapunov Functions

SIAM Journal on Control and Optimization, 2004
Summary: Given a weakly uniformly globally asymptotically stable closed (not necessarily compact) set \({\mathcal A}\) for a differential inclusion that is defined on \(\mathbb{R}^n\), is locally Lipschitz on \(\mathbb{R}^n \backslash{\mathcal A}\), and satisfies other basic conditions, we construct a weak Lyapunov function that is locally Lipschitz on
Kellett, Christopher M., Teel, Andrew R.
openaire   +1 more source

A Lyapunov Function for an Extended Super-Twisting Algorithm

IEEE Transactions on Automatic Control, 2018
Recently, an extension of the super-twisting algorithm for relative degrees $m\geq {}1$ has been proposed. However, as of yet, no Lyapunov functions for this algorithm exist.
Richard Seeber, M. Reichhartinger, M. Horn   +2 more
semanticscholar   +1 more source

Robust control Minkowski–Lyapunov functions

Automatica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Nonuniform Dichotomies via Lyapunov Functions

Milan Journal of Mathematics, 2014
The main aim of this paper is to study the relationship between the nonuniform exponential dichotomy and so-called strict Lyapunov functions for abstract nonautonomous linear equations. In other words, exponential dichotomies are characterized in terms of Lyapunov functions. Both direct and reverse theorems are presented.
Barreira, Luis, Valls, Claudia
openaire   +2 more sources

Lyapunov Functions and Cone Families

Journal of Statistical Physics, 2012
We describe systematically the relation between Lyapunov functions and nonvanishing Lyapunov exponents, both for maps and flows. This includes a brief survey of the existing results in the area. In particular, we consider separately the cases of nonpositive and arbitrary Lyapunov functions, thus yielding optimal criteria for negativity and positivity ...
Barreira, Luis, Dragičević, Davor, Valls, Claudia   +2 more
openaire   +3 more sources