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Non-Linear Gait Dynamics Are Affected by Commonly Occurring Outdoor Surfaces and Sex in Healthy Adults. [PDF]
Emmerzaal J, Ippersiel P, Dixon PC.
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Cascade Sliding Mode Control for Linear Displacement Positioning of a Quadrotor. [PDF]
Sawiński A, Chudzik P, Tatar K.
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Stability analysis of chaotic systems in latent spaces. [PDF]
Özalp E, Magri L.
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A Lyapunov Optimization-Based Approach to Autonomous Vehicle Local Path Planning. [PDF]
Arjmandzadeh Z+4 more
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Neural networks adaptive predefined-time control for pure-feedback nonlinear systems: a case study on robotic exoskeleton systems. [PDF]
Fang Y, Zhang J, Li Y.
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Automatica, 2011
Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
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Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
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On almost Lyapunov functions [PDF]
We study asymptotic stability properties of nonlinear systems in the presence of “almost Lyapunov” functions which decrease along solutions in a given region not everywhere but rather on the complement of a set of small volume. Nothing specific about the structure of this set is assumed besides an upper bound on its volume.
Charles Ying+2 more
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Lyapunov Functions and Cone Families [PDF]
We describe systematically the relation between Lyapunov functions and nonvanishing Lyapunov exponents, both for maps and flows. This includes a brief survey of the existing results in the area. In particular, we consider separately the cases of nonpositive and arbitrary Lyapunov functions, thus yielding optimal criteria for negativity and positivity ...
Claudia Valls+2 more
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Lyapunov and Lyapunov-like functions
2007Lyapunov functions are crucial in the present book aims, given the strict relation between Lyapunov functions and invariant sets. In this chapter, basic notions of Lyapunov and Lyapunov-like functions will be presented. Before introducing the main concept, a brief presentation of the class of dynamic models will be considered and some preliminary ...
Stefano Miani, Franco Blanchini
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Attractors and Lyapunov Functions
2020The main tool in estimating dimensions of invariant sets and entropies of dynamical systems developed in this book is based on Lyapunov functions. In this chapter we introduce the basic concept of global attractors. The existence of a global attractor for a dynamical system follows from the dissipativity of the system.
Volker Reitmann, Nikolay Kuznetsov
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