Results 281 to 290 of about 98,332 (326)
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Local Control of Chaotic Systems — A Lyapunov Approach
International Journal of Bifurcation and Chaos, 1998In this paper a method for local control of an unstable equilibrium point in chaotic systems is presented. Linear state feedback to stabilize the equilibrium is employed which is only active in a bounded region around the desired point: the area of control action. Size and shape of the area of control action are determined by a Lyapunov function of the
Richter, Hendrik, Reinschke, Kurt J.
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Levant's Arbitrary-Order Exact Differentiator: A Lyapunov Approach
IEEE Transactions on Automatic Control, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emmanuel Cruz-Zavala, Jaime A. Moreno
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Stick-Slip Control: Lyapunov-Based Approach
2015Based on the neutral-type time-delay model of the drillstring torsional dynamics, this chapter addresses the design of stabilizing controllers aimed at eliminating the stick-slip phenomenon. Within the framework of Lyapunov theory, two control approaches based on different system representations are proposed.
Martha Belem Saldivar Márquez +3 more
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Hybrid-Impulsive Second Order Sliding Mode Control: Lyapunov Approach
IFAC Proceedings Volumes, 2013A perturbed nonlinear system of relative degree two controlled by discontinuous-impulsive feedbacks is studied. The hybrid-impulsive terms serve to drive instantaneously the system trajectories to the origin or to its small vicinity. In particular, impulsive-twisting control exhibits an uniform exact finite time convergence to the second order sliding ...
Glumineau, Alain +3 more
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A Lyapunov approach to incremental stability
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002This paper deals with several notions of incremental stability. In other words, we focus on the stability of trajectories with respect to one another, rather than with respect some attractor or equilibrium point. The aim is to present a framework for understanding such questions fully compatible with the well-known input-to-state stability approach.
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Adaptive Nonlinear Control: A Lyapunov Approach
1997Realistic models of physical systems are nonlinear and usually contain parameters (masses, inductances, aerodynamic coefficients, etc.) which are either poorly known or dependent on a slowly changing environment. If the parameters vary in a broad range, it is common to employ adaptation: a parameter estimator—identifier— continuously acquires knowledge
Petar V. Kokotović, Miroslav Krstić
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Coupling Lyapunov functions approach for quantum control
2015 54th IEEE Conference on Decision and Control (CDC), 2015Quantum control concerns driving quantum systems to the desired properties or states. This objective is hindered by the non-deterministic nature of quantum systems and the symmetric topology of the quantum state space. This paper introduces a coupling Lyapunov functions approach to counter for the stochastic nature of quantum measurements and break the
Thanh Long Vu +2 more
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Geometrical approach to parameter dependent Lyapunov functions
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002We consider the problem of constructing parameter dependent Lyapunov functions that guarantee the stability of the linear systems with an uncertain constant real parameter. First, we formulate the surface on which all parameter dependent Lyapunov matrices for a given uncertain system exist.
A. Ogata, M. Yamamoto, K. Liu, O. Saito
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Saturated Super-Twisting Algorithm: Lyapunov based approach
2016 14th International Workshop on Variable Structure Systems (VSS), 2016A saturated control Super-Twisting Algorithm is presented. Lyapunov level curves are used for the design of the saturation of Super-Twisting Algorithm.
Ismael Castillo +4 more
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Generalized Lyapunov approach for functional differential inclusions
Automatica, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cai, Zuowei, Huang, Lihong
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