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Eigenpairs for the Analysis of Complete Lyapunov Functions [PDF]
Complexity, 2022 A complete Lyapunov function describes the qualitative behaviour of a dynamical system: the areas where the orbital derivative vanishes and where it is strictly negative characterise the chain recurrent set and the gradient-like flow, respectively ...
Carlos Argáez +2 more
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Analysis of a Lorenz-Like Chaotic System by Lyapunov Functions [PDF]
Complexity, 2019 In this paper, we investigate the ultimate bound set and positively invariant set of a 3D Lorenz-like chaotic system, which is different from the well-known Lorenz system, Rössler system, Chen system, Lü system, and even Lorenz system family. Furthermore,
Fuchen Zhang
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Fractional Dynamics of Stuxnet Virus Propagation in Industrial Control Systems
Mathematics, 2021 The designed fractional order Stuxnet, the virus model, is analyzed to investigate the spread of the virus in the regime of isolated industrial networks environment by bridging the air-gap between the traditional and the critical control network ...
Zaheer Masood +4 more
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Machines, 2023 This article addresses the problem of balancing an inverted spherical pendulum on a quadrotor. The full dynamic model is obtained via the Euler-Lagrange formalism, where the dynamics of the pendulum is coupled to the dynamics of the quadrotor, taking as ...
Adrian H. Martinez-Vasquez +3 more
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Nonlinear Optimal Control for the Nine-Phase Permanent Magnet Synchronous Motor
Power Electronics and Drives, 2023 Multi-phase electric motors and in particular nine-phase permanent magnet synchronous motors (9-phase PMSMs) find use in electric actuation, traction and propulsion systems.
Rigatos Gerasimos G. +5 more
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A Differential Lyapunov Framework for Contraction Analysis [PDF]
IEEE Transactions on Automatic Control, 2014 Lyapunov's second theorem is an essential tool for stability analysis of differential equations. The paper provides an analog theorem for incremental stability analysis by lifting the Lyapunov function to the tangent bundle. The Lyapunov function endows the state-space with a Finsler structure.
Forni, Fulvio, Sepulchre, Rodolphe
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Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function
Mathematics, 2021 This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices.
Pengcheng Shao, Stanford Shateyi
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Non-linear optimal control for multi-DOF electro-hydraulic robotic manipulators
IET Cyber-systems and Robotics, 2020 A non-linear optimal (H-infinity) control approach is proposed for the dynamic model of multi-degree-of-freedom (DOF) electro-hydraulic robotic manipulators.
Gerasimos Rigatos +4 more
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Lyapunov Analysis of the Chaotic Colpitts Oscillator [PDF]
2019 IEEE International Symposium on Circuits and Systems (ISCAS), 2019 In this paper, chaotic behavior of the Colpitts oscillator is studied and analyzed. The analyses consider the locally unstable behavior based on the linearization around the equilibrium and the globally bounded stability, which guarantees that the trajectories converge to an attractive and bounded set.
Ivana Vasiljevic +2 more
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Lyapunov-based Transient Stability Analysis
2022 IEEE 61st Conference on Decision and Control (CDC), 2022 The paper presents an analytical control solution to the problem of transient stabilization of lossy multi-machine power systems. Firstly, a new form of control Lyapunov function candidates with a flexible potential-energy-like term is proposed. This is achieved mainly by introducing an auxiliary state that contributes to the derivation of a cross-term.
Jianli Gao +2 more
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