Results 261 to 270 of about 12,108,737 (322)

Finite energy Lyapunov function candidate for fractional order general nonlinear systems

Communications in nonlinear science & numerical simulation, 2019
The construction of Lyapunov function candidates and the norm of infinite energy solutions remain among the most elusive unsolved problems of fractional order systems.
Yan Li, Daduan Zhao, YangQuan Chen, I. Podlubny, Chenghui Zhang   +4 more
semanticscholar   +1 more source

Robust Minkowski–Lyapunov functions

Automatica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improved stability results for discrete-time switched systems: A multiple piecewise convex Lyapunov function approach

Applied Mathematics and Computation, 2019
In this paper, the stability problem is investigated for a class of discrete-time switched systems with unstable subsystems under the mode-dependent average dwell time (MDADT) switching. A multiple convex Lyapunov function (MCLF) and a multiple piecewise
Ruihua Wang, Ticao Jiao, Zhang Tao, S. Fei   +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

Founded Lyapunov–Bogdanov Functionals

Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borukhov, V. T., Kvetko, O. M.
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On the Construction of Lyapunov Functions

SIAM Journal on Applied Mathematics, 1969
the same. These results are used to obtain new instability results for the Hill equation which extend the classical results of Lyapunov and Haupt. Finally, we show that a Lyapunov function for w' = 2Bw can be used to algorithmically obtain a Lyapunov function for y' = By along with certain verifiable conditions from which stability properties of y ...
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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
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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
Christopher M. Kellett, Andrew R. Teel
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Logical composition of Lyapunov functions

International Journal of Control, 2011
This article introduces the use of R-functions to compose single Lyapunov functions (LFs) via classic Boolean operators, with the aim to obtain a rich family of non-conventional, generally non-convex functions. The main benefit of the proposed composition is the nice geometric interpretation, since it corresponds to intersection and union operations in
Aldo Balestrino, Andrea Caiti, Emanuele Crisostomi   +2 more
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Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions

Nonlinear Analysis: Theory, Methods & Applications, 1996
The authors are interested in the stability properties of the trivial solution of the system \(x'=f(t,x)\) and wish to use the higher derivatives of a single Lyapunov function to investigate them. If the resulting comparison system satisfies the required quasimonotone property, one can use a variant of the method of vector Lyapunov functions.
Köksal, S., Lakshmikantham, V.
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