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Dual Lyapunov stability analysis in behavioral approach
2008 47th IEEE Conference on Decision and Control, 2008This paper considers a Lyapunov stability analysis for continuous-time systems described by high order difference-algebraic equation from the viewpoint of the semidefinite programming (SDP) duality. In the behavioral system theory, a Lyapunov function is described by a quadratic differential form (QDF) and equivalently characterized by a two-variable ...
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On Lyapunov Game Theory Equilibrium: Static and Dynamic Approaches
International Game Theory Review, 2018This paper suggests a game theory problem in which any feasible solution is based on the Lyapunov theory. The problem is analyzed in the static and dynamic cases. Some properties of Nash equilibria such as existence and stability are derived naturally from the Lyapunov theory.
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Approach to equilibrium and Lyapunov converters
International Journal of Quantum Chemistry, 1987Juraj Kumi?�k, Erkki Br�ndas
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Strict Lyapunov Functions for the Super-Twisting Algorithm
IEEE Transactions on Automatic Control, 2012Jaime A Moreno, Marisol Osorio
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Wirtinger’s inequality and Lyapunov-based sampled-data stabilization
Automatica, 2012Kun Liu, Emilia Fridman
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Communications in Nonlinear Science and Numerical Simulation, 2015
Manuel A Duarte-Mermoud +2 more
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Manuel A Duarte-Mermoud +2 more
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Finite-time and fixed-time stabilization: Implicit Lyapunov function approach
Automatica, 2015Andrey E Polyakov, Denis Efimov
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