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Lyapunov Profiles of Three-State Totalistic Cellular Automata
Inspired by the theory of continuous dynamical systems, Lyapunov exponents have been previously defined in the framework of cellular automata (CAs)...
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Features of the Computational Implementation of the Algorithm for Estimating the Lyapunov Exponents of Systems with Delay
Abstract—The computational implementation of the algorithm for estimating the spectrum of Lyapunov exponents for systems of differential equations...
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Identification of nonlinear dynamical system based on adaptive radial basis function neural networks
In this paper, an adaptive radial basis function neural network (RBFNN) is investigated and presented for identifying the nonlinear dynamical system....
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Exploring the stochastic patterns of hyperchaotic Lorenz systems with variable fractional order and radial basis function networks
This research explores the incorporation of variable order (VO) fractional calculus into the hyperchaotic Lorenz system and studies various chaotic...
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Finite-time and fixed-time function projective synchronization of competitive neural networks with noise perturbation
In this paper, finite-time and fixed-time function projective synchronization of competitive neural networks with time-varying delays and noise...
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A Lyapunov-Based Model Predictive Virtual Vehicle Guidance for Path Following Control of Autonomous Marine Vehicles
This paper proposes a Lyapunov-based model predictive virtual vehicle guidance (LMPC-VV) method for path-following control of autonomous marine...
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General Decay Synchronization of Fuzzy Inertial Memristive Neural Networks with Discontinuous Activation Function
This paper studied the general decay synchronization (GDS) of fuzzy inertial memristive neural networks (FIMNNs) with mixed delays and discontinuous...
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Attractors and Lyapunov Functions
The main tool in estimating dimensions of invariant sets and entropies of dynamical systems developed in this book is based on Lyapunov functions. In...
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Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function
In a dissipative gyroscopic system with four degrees of freedom and tensorial variables in contravariant (right upper index) and covariant (right...
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Control Barrier Function Toolbox: An Extensible Framework for Provable Safety
The need for safety is ubiquitous, however, guaranteeing safety can be difficult for systems with non-trivial dynamics. Control barrier functions...
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Lyapunov Dimension for Dynamical Systems in Euclidean Spaces
Nowadays there is a number of surveys and theoretical works devoted to Lyapunov exponents and Lyapunov dimension, however most of them are devoted to...
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Stability analysis of interconnected complex nonlinear systems using the Lyapunov and Finsler property
This study focuses on the question of the stability analysis of complex interconnected nonlinear systems using the property of Lyapunov and Finsler....
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Algebraic Stability Analysis of Particle Swarm Optimization Using Stochastic Lyapunov Functions and Quantifier Elimination
This paper adds to the discussion about theoretical aspects of particle swarm stability by proposing to employ stochastic Lyapunov functions and to...
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Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
This paper presents an adaptive control method for a class of uncertain strict-feedback switched nonlinear systems. First, we consider the constraint...
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DR-Submodular Function Maximization with Adaptive Stepsize
The DR-submodular function maximization problem has been gaining increasing attention due to its important applications in many fields. In [1], a...
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Function matrix projective synchronization for unknown and delayed fractional-order neural network
Fractional-order neural networks (FONNs) can improve the computational ability and facilitate the information transmission of neurons, whose...
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On computing the Lyapunov exponents of reversible cellular automata
We consider the problem of computing the Lyapunov exponents of reversible cellular automata (CA). We show that the class of reversible CA with right...
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Robust Adaptive Back-Step** Control Approach Using Quadratic Lyapunov Functions for MMC-Based HVDC Digital Twins
Due to its excellent performance, VSC-based high voltage direct current (HVDC) power systems draw significant attention. They are being heavily used...