A Lyapunov Function for Robust Stability of Moving Horizon Estimation [PDF]
IEEE Transactions on Automatic Control, 2022 We provide a novel robust stability analysis for moving horizon estimation (MHE) using a Lyapunov function. In addition, we introduce linear matrix inequalities (LMIs) to verify the necessary incremental input/output-to-state stability ($\boldsymbol ...
J. Schiller +4 more
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Lyapunov-Net: A Deep Neural Network Architecture for Lyapunov Function Approximation [PDF]
IEEE Conference on Decision and Control, 2021 We develop a versatile deep neural network architecture, called Lyapunov-Net, to approximate Lyapunov functions of dynamical systems in high dimensions. Lyapunov-Net guarantees positive definiteness, and thus can be easily trained to satisfy the negative
Nathan Gaby, Fumin Zhang, X. Ye
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Finite control set predictive control based on Lyapunov function for three‐phase voltage source inverters [PDF]
, 2014 Sangshin Kwak +2 more
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Chaotic synchronization of memristive neurons: Lyapunov function versus Hamilton function [PDF]
Nonlinear dynamics, 2020 In this paper, we consider a 5-dimensional Hindmarsh–Rose neuron model. This improved version of the original model shows rich dynamical behaviors, including a chaotic super-bursting regime.
Marius E. Yamakou
semanticscholar +1 more source
Stabilization of Nonlinear Control-Affine Systems With Multiple State Constraints
IEEE Access, 2020 This paper considers the synthesis of stabilizing controllers for nonlinear control-affine systems under multiple state constraints. A new control Lyapunov-barrier function approach is introduced for solving the considered problem.
Jia-Yao Jhang +2 more
doaj +1 more source
Gap Functions and Lyapunov Functions
Journal of Global Optimization, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
PAPPALARDO, MASSIMO +1 more
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Lyapunov constraints and global asymptotic stabilization [PDF]
, 2011 In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints).
Grillo, Sergio +2 more
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IEEE Open Journal of Industry Applications, 2023 Single-phase grid-forming inverters are commonly used in uninterruptible power supply (UPS) systems that feed single-phase critical loads in homes, data centers, and hospitals.
Udoka C. Nwaneto +2 more
doaj +1 more source
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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Stochastic stability of viscoelastic systems under Gaussian and Poisson white noise excitations [PDF]
, 2018 As the use of viscoelastic materials becomes increasingly popular, stability of viscoelastic structures under random loads becomes increasingly important.
Gu, J, Li, X, Ma, F, Xu, W
core +2 more sources