Results 71 to 80 of about 625,732 (254)
Time-oscillating Lyapunov modes and auto-correlation functions for quasi-one-dimensional systems
, 2004 The time-dependent structure of the Lyapunov vectors corresponding to the steps of Lyapunov spectra and their basis set representation are discussed for a quasi-one-dimensional many-hard-disk systems. Time-oscillating behavior is observed in two types of
Gary P. Morriss +6 more
core +1 more source
Economic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control [PDF]
arXiv, 2017 This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints will enforce a Lyapunov decrease after every few steps.
arxiv
Lyapunov functions and isolating blocks
Journal of Differential Equations, 1973 Let M denote a smooth (Cm) n-dimensional manifold and let $: M x R -+ M denote a Cr flow (or dynamical system) which is generated by a CT vector field 4 (= (d/dt) +(t, x) j t = 0) on M (0 max(1, r}. In this case, we can only obtain Ck smoothness for functions on M. Let K denote a compact invariant set for ‘p, i.e., K is a compact subset of M and if x
James A. Yorke, F.Wesley Wilson
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Global finite-time stability of differential equation with discontinuous right-hand side
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In the paper new sufficient conditions for global finite-time stability of a stationary solution to differential equation with discontinuous right-hand side are given. Time-dependent Lyapunov function which is only continuous is used.
Radosław Matusik, Andrzej Rogowski
doaj +1 more source
Asymptotic behavior of a stochastic delayed avian influenza model with saturated incidence rate
Mathematical Biosciences and Engineering, 2020 In this paper, we establish a stochastic delayed avian influenza model with saturated incidence rate. Firstly, we prove the existence and uniqueness of the global positive solution with any positive initial value.
Yanyan Du, Ting Kang, Qimin Zhang
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Path-Complete Graphs and Common Lyapunov Functions [PDF]
arXiv, 2016 A Path-Complete Lyapunov Function is an algebraic criterion composed of a finite number of functions, called its pieces, and a directed, labeled graph defining Lyapunov inequalities between these pieces. It provides a stability certificate for discrete-time switching systems under arbitrary switching.
arxiv
SOS-Convex Lyapunov Functions and Stability of Difference Inclusions [PDF]
arXiv, 2018 We introduce the concept of sos-convex Lyapunov functions for stability analysis of both linear and nonlinear difference inclusions (also known as discrete-time switched systems). These are polynomial Lyapunov functions that have an algebraic certificate of convexity and that can be efficiently found via semidefinite programming.
arxiv
On Continuation and Convex Lyapunov Functions
IEEE Transactions on Automatic ControlFinal version, 12 pages, to appear in the IEEE Transactions on Automatic ...
Wouter Jongeneel, Roland Schwan
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Lyapunov-like functions involving Lie brackets [PDF]
, 2016 For a given closed target we embed the dissipative relation that defines a control Lyapunov function in a more general differential inequality involving Hamiltonians built from iterated Lie brackets. The solutions of the resulting extended relation, here called degree-k control Lyapunov functions (k>=1), turn out to be still sufficient for the system ...
arxiv +1 more source
A graph-theoretic approach to global input-to-state stability for coupled control systems
Advances in Difference Equations, 2017 In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
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