Constructive Nonlinear Control

By Rodolphe Sepulchre, Mrdjan Jankovic, Petar V. Kokotovic. 2011

1,244 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b51af83e15da6322b8d3cb51726fd5f9ce2d8c88

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In Control and Systems Engineering

Citations in the corpus

A Review of Safe Reinforcement Learning: Methods, Theory and Applications (2022, background): “Lyapunov functions are developed more than a hundred years ago [129], and are used for the stability of a controller [247].”
Global stabilization of a class of upper‐triangular systems with unbounded or uncontrollable linearizations (2011, methodology): “From practical point of view, many physical systems can be transformed to nonlinear systems with upper-triangular structures, such as cart-pendulum system [1], the ball and beam system [2], the TORA system [3], etc.”
Asymptotic stabilization of high‐order feedforward systems with delays in the input (2010, methodology): “The designed controllers have a simple structure and do not involve any saturation, which are widely applied in designing control of upper triangular systems [4].”
Normal form for linear systems with respect to its vector relative degree (2009, background): “A system (A,B, C) is called right-invertible if this tracking problem can be solved [13].”
Backstepping control design for motion coordination of self‐propelled vehicles in a flowfield (2011, methodology): “The control design follows the iterative process of integrator backstepping, in which the existing states of the first-order model are recursively used to stabilize steady motions of the second-order model [14, 15].”
Synchronization of Interconnected Systems With Applications to Biochemical Networks: An Input-Output Approach (2009, background): “ut-output approach was taken in [6, 7, 8] to study stability properties of individual compartments, rather than synchronization of compartments. These studies verify an appropriate passivity property [9, 10] for each species and form a \dissipativity matrix", denoted here by E, that incorporate”
A Review of Safe Reinforcement Learning: Methods, Theories, and Applications (2024, neutral): “In addition, the asymptotic results that safe RL methods can achieve are summarised in the preprint version of the paper [76].”
Rapidly Exponentially Stabilizing Control Lyapunov Functions and Hybrid Zero Dynamics (2014, background): “Domains of application include nonlinear adaptive control [27], robust nonlinear feedback design [38], receding horizon control of nonlinear systems [24], and stabilization of hybrid systems [36], to name only a few.”