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On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
S. Leela, V. Lakshmikantham
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Mathematical modelling of branched hydraulic systems [PDF]
Компьютерные исследования и моделирование, 2009 Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function.
N. V. Kassina, L. V. Smirnov
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A Novel Method for Optimal Control of Piecewise Affine Systems Using Semi-Definite Programming [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 : In this paper, a novel optimal control design method by discontinuous quadratic Lyapunov function and continuous quadratic Lyapunov function for 2-dimensional piecewise affine systems via semi-definite programming and LMI constraints is proposed.In ...
Majid Akbarian +2 more
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Quantization of Lyapunov functions [PDF]
Ukrainian Mathematical Journal, 2011 We investigate discret conditions for stability and asymptotic stability by Lyapunov and the point of equilibrium of autonomous system of differential equations.
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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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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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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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Parameter-Dependent Lyapunov Functions for Linear Systems With Constant Uncertainties [PDF]
, 2009 Robust stability of linear time-invariant systems with respect to structured uncertainties is considered. The small gain condition is sufficient to prove robust stability and scalings are typically used to reduce the conservatism of this condition. It is
Balas, Gary +3 more
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Interpretability of Path-Complete Techniques and Memory-based Lyapunov functions [PDF]
arXiv, 2022 We study path-complete Lyapunov functions, which are stability criteria for switched systems, described by a combinatorial component (namely, an automaton), and a functional component (a set of candidate Lyapunov functions, called the template). We introduce a class of criteria based on what we call memory-based Lyapunov functions, which generalize ...
arxiv
Constructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems [PDF]
, 2006 We provide explicit closed form expressions for strict Lyapunov functions for time-varying discrete time systems. Our Lyapunov functions are expressed in terms of known nonstrict Lyapunov functions for the dynamics and finite sums of persistency of ...
Albertini +24 more
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