Inverse Reinforcement Learning: A Control Lyapunov Approach [PDF]
2021 60th IEEE Conference on Decision and Control (CDC), 2021 This work has been accepted for presentation at, and publication in the proceedings of, the 2021 IEEE Conference on Decision and Control (CDC)
Samuel Tesfazgi +2 more
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Lyapunov-based neural network model predictive control using metaheuristic optimization approach [PDF]
Scientific ReportsThis research introduces a new technique to control constrained nonlinear systems, named Lyapunov-based neural network model predictive control using a metaheuristic optimization approach.
Chafea Stiti +6 more
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A Lyapunov Optimization-Based Approach to Autonomous Vehicle Local Path Planning [PDF]
SensorsAutonomous vehicles (AVs) offer significant potential to improve safety, reduce emissions, and increase comfort, drawing substantial attention from both research and industry.
Ziba Arjmandzadeh +4 more
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Kernel Machine to Estimate a Lyapunov Function and Region of Attraction (ROA) for Nonlinear Systems
IEEE Access, 2023 The Lyapunov theory establishes the fundamental details to determine the stability and the Lyapunov function associated with an equilibrium point of a nonlinear system.
Afroza Shirin +2 more
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Measurement + Control, 2023 The existence of a Lyapunov function is known to ensure either local or global stability of a system’s equilibrium state. Inspired by the control-Lyapunov method, we here construct a Lyapunov candidate function by analyzing a pendulum system’s total ...
Martinius Knudsen +3 more
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Chronotopic Lyapunov analysis: II. Toward a unified approach [PDF]
Journal of Statistical Physics, 1997 From the analyticity properties of the equation governing infinitesimal perturbations, it is shown that all stability properties of spatially extended 1D systems can be derived from a single function that we call entropy potential since it gives directly the Kolmogorov-Sinai entropy density.
Lepri, Stefano +2 more
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Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation
Chaos Theory and Applications, 2022 Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability.
Günyaz Ablay
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Geometric approach to Lyapunov analysis in Hamiltonian dynamics [PDF]
Physical Review E, 2001 As is widely recognized in Lyapunov analysis, linearized Hamilton's equations of motion have two marginal directions for which the Lyapunov exponents vanish. Those directions are the tangent one to a Hamiltonian flow and the gradient one of the Hamiltonian function.
Yamaguchi, Yoshiyuki Y., Iwai, Toshihiro
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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
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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