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Deep learning controller for nonlinear system based on Lyapunov stability criterion
Neural computing & applications (Print), 2020A. M. Zaki +3 more
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Lyapunov Stability and Orbital Stability of Dynamical Systems
Differential Equations, 2004The paper deals with the study of the relationship between Lyapunov stability of motions and orbital stability of invariant sets. The author focuses the attention on the analysis of the qualitative behavior of trajectories in a neighborhood of an orbitally asymptotically stable set whose domain of attraction consists of Lyapunov stable motions.
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Sufficient lyapunov-like conditions for stabilization
Mathematics of Control, Signals, and Systems, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lyapunov’s definition of stability
1969Let $$G\left[ u \right] = 0$$ (A) be an equation of motion which governs the motion of a given system completely (differential equation with proper boundary conditions, Hamilton’s principle in its general form, etc.; cf. sect. 9). In general u will be an N-dimensional vector, cf.
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A new Barbalat's lemma and Lyapunov stability theorem for fractional order systems
Chinese Control and Decision Conference, 2017Ruoxun Zhang, Yongli Liu
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Lyapunov-Based Stability Analysis
2014This chapter presents generalizations of the direct Lyapunov method to TDSs. In the first section, for general TDSs, the stability notions are defined, and Lyapunov–Krasovskii and Lyapunov–Razumikhin stability theorems are stated. The second section gives a short introduction to linear matrix inequalities. Sections 3.3–3.7 and 3.10 are devoted to delay-
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A Note on the Lyapunov Stability of Fractional-Order Nonlinear Systems
, 2017S. Dadras +3 more
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MTPA and FW based robust nonlinear speed control of IPMSM drive using Lyapunov stability criterion
2014 IEEE Industry Application Society Annual Meeting, 2016Garin M. Schoonhoven, M. Nasir Uddin
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Integral Barrier Lyapunov function-based adaptive control for switched nonlinear systems
Science China Information Sciences, 2020Shaocheng Tong
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