Results 1 to 10 of about 33,209,479 (267)
A Survey of Quantum Lyapunov Control Methods [PDF]
The Scientific World Journal, 2013 The condition of a quantum Lyapunov-based control which can be well used in a closed quantum system is that the method can make the system convergent but not just stable.
Shuang Cong, Fangfang Meng
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Review on computational methods for Lyapunov functions
Discrete and Continuous Dynamical Systems - Series B, 2015 Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications. They provide sufficient conditions for the stability of equilibria or more general invariant sets, as well as for their basin of ...
Sigurdur Hafstein, Peter Gießl
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Lyapunov functions for fractional-order systems in biology: Methods and applications [PDF]
Chaos, Solitons & Fractals, 2020 We prove new estimates of the Caputo derivative of order α ∈ (0, 1] for some specific functions. The estimations are shown useful to construct Lyapunov functions for systems of fractional differential equations in biology, based on those known for ...
Adnane Boukhouima +5 more
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Computers Materials & Continua, 2021 : Synchronization is one of the most important characteristics of dynamic systems. For this paper, the authors obtained results for the nonlinear systems controller for the custom Synchronization of two 4D systems.
A. A. Hamad +4 more
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Neural Lyapunov Control for Discrete-Time Systems [PDF]
Neural Information Processing Systems, 2023 While ensuring stability for linear systems is well understood, it remains a major challenge for nonlinear systems. A general approach in such cases is to compute a combination of a Lyapunov function and an associated control policy.
Junlin Wu +3 more
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Observer-based adaptive fuzzy prescribed performance control for intelligent ship autopilot
Systems Science & Control Engineering, 2021 In this paper, the algorithm design problem of intelligent ship autopilot with an unmeasured yaw rate is investigated based on adaptive fuzzy control.
Liyan Zhu, Tieshan Li
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Stabilizing Neural Control Using Self-Learned Almost Lyapunov Critics [PDF]
IEEE International Conference on Robotics and Automation, 2021 The lack of stability guarantee restricts the practical use of learning-based methods in core control problems in robotics. We develop new methods for learning neural control policies and neural Lyapunov critic functions in the modelfree reinforcement ...
Ya-Chien Chang, Sicun Gao
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IET Cyber-systems and Robotics, 2020 In this study, the authors address the problem of optimal routing and relative motion control in a network of robots. The path planning scheme has been designed using a fuzzy-based potential function employing optimal routing parameters.
Anuj Nandanwar +2 more
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Neural Koopman Lyapunov Control [PDF]
Neurocomputing, 2022 Learning and synthesizing stabilizing controllers for unknown nonlinear control systems is a challenging problem for real-world and industrial applications.
Vrushabh Zinage, E. Bakolas
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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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