Results 101 to 110 of about 12,108,737 (322)
Lyapunov Function Synthesis - Algorithm and Software
, 2016 In this paper we introduce an algorithm for thesynthesis of polynomial Lyapunov functions for polynomialvector fields. The Lyapunov function is a continuous piecewisepolynomialdefined on simplices, which compose a collectionof simplices. The algorithm is
Sloth, Christoffer +5 more
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Continuous Uniform Finite Time Stabilization of Planar Controllable Systems [PDF]
, 2015 Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances.
Oza, HB +5 more
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales +8 more
wiley +1 more source
Some properties of Lyapunov function sets
, 2010 Open accessInternational audienceThe purpose of this paper is to study some geometrical and topological properties of Lyapunov function sets. These functions are very useful in control theory to solve stability problems. We focus our attention on the set
Moulay, Emmanuel +2 more
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THE GENERALIZED LYAPUNOV FUNCTION as AO’S POTENTIAL FUNCTION: EXISTENCE in DIMENSIONS 1 and 2
, 2023 By using Ao\u27s decomposition for stochastic dynamical systems, a new notion of potential function has been introduced by Ao and his collabora-tors recently.
Gan, Xiaoliang +3 more
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Control Lyapunov-Barrier Function-Based Model Predictive Control of Nonlinear Systems
American Control Conference, 2018 In this paper, we propose a Control Lyapunov-Barrier Function-based model predictive control (CLBF-MPC) method for solving the problem of stabilization of nonlinear systems with input constraint satisfaction and guaranteed safety for all times ...
Zhe Wu +5 more
semanticscholar +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, a robust position control strategy is presented for a two‐stage electro‐hydraulic actuator system using a fractional‐order proportional–integral–derivative (FOPID) controller tuned by Kirchhoff's law algorithm (KLA). Electro‐hydraulic systems exhibit strong nonlinearities, parameter uncertainties, and external disturbances ...
Ridvan Firat Cinar +8 more
wiley +1 more source
Generalized Lyapunov function for stability analysis of interconnected power systems
, 2011 The formulation of Lyapunov function is necessary to analyze the stability of a system. This paper presents an idea for formulating generalized Lyapunov function for the stability analysis of interconnected power systems.
Mahmud, MA +3 more
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A Lyapunov Theory-Based SEIG–STATCOM Voltage Regulation Control Strategy
EnergiesTo improve the voltage regulation of asynchronous generators during load switching, a Lyapunov-based control strategy has been proposed to stabilize the generator’s voltage by connecting a static synchronous compensator.
Zeyu Zhang, Pingping Gong, Ziguang Lu
doaj +1 more source
Positive realness and Lyapunov functions for switched behaviors
, 2012 We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant.
Rocha, Paula, Rapisarda, Paolo
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