Impulsive Control on Invariant Surfaces

2023/08/16 by Silva, C. C., Marao, J., Figueiredo, A. +1
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.03354

Abstract

An impulsive feedback-adaptive control is developed in order to drive trajectories of a dynamical system towards an invariant manifold with fixed and spaced impulsive controls. The approach requires the explicit knowledge of the set of equations defining the invariant manifold and is based on the concept of stability exponents of invariant manifolds.

Related

• Characterization and computation of control invariant sets within target regions for linear impulsive control systems
• Linked Sections to "On the Optimal Control of Impulsive Hybrid Systems on Riemannian Manifolds"
• Stability Rates for Patchy Vector Fields
• On the Optimal Control of Impulsive Hybrid Systems On Riemannian Manifolds
• An Invariant Set Approach for Optimization on Integrable Manifolds