Robust constrained model predictive control based on parameter-dependent Lyapunov functions [PDF]
, 2008 The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear ...
B. Pluymers +21 more
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Explicit Reference Governor for Continuous Time Nonlinear Systems Subject to Convex Constraints [PDF]
, 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.
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Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function
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
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A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks
SIAM Journal of Control and Optimization, 2019 This paper studies the feedback stabilization problem of $k$-valued logical control networks (KVLCNs), and proposes a control Lyapunov function (CLF) approach for this problem.
Haitao Li, Xueying Ding
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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
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Statistics of finite scale local Lyapunov exponents in fully developed homogeneous isotropic turbulence [PDF]
, 2018 The present work analyzes the statistics of finite scale local Lyapunov exponents of pairs of fluid particles trajectories in fully developed incompressible homogeneous isotropic turbulence.
de Divitiis, Nicola
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Physics-informed transient stability assessment of microgrids
iEnergy, 2023 With the integration of a voltage source converter (VSC), having variable internal voltages and source impedance, in a microgrid with high resistance to reactance ratio of short lines, angle-based transient stability techniques may find limitations ...
Priyanka Mishra, Peng Zhang
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Computation and verification of Lyapunov functions [PDF]
, 2015 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 ...
Dellnitz M. +6 more
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Lyapunov Function and Exponential Trichotomy on Time Scales
Discrete Dynamics in Nature and Society, 2011 We study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.
Ji Zhang
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Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method
Energies, 2018 In this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system.
Bahram Shakerighadi +3 more
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