Lack of BV bounds for impulsive control systems
DOI10.1016/j.jmaa.2018.01.019zbMath1386.93052OpenAlexW2782906537MaRDI QIDQ1706369
Monica Motta, Caterina Sartori
Publication date: 22 March 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.019
generalized solutionsimpulsive control systemsimpulsive optimal control problemsnon-commutative control systemspointwisely defined measurable solutions
Controllability (93B05) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Impulsive optimal control problems (49N25)
Related Items (2)
Cites Work
- Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data
- \(\mathcal{L}^1\) limit solutions for control systems
- On a generalization of the impulsive control concept: controlling system jumps
- Generalized solutions to nonlinear stochastic differential equations with vector-valued impulsive controls
- Moving constraints as stabilizing controls in classical mechanics
- Impulsive control systems with commutative vector fields
- Theory of chattering control with applications to astronautics, robotics, economics, and engineering
- Impulsive control systems without commutativity assumptions
- Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls
- Discontinuous solutions to unbounded differential inclusions under state constraints. Applications to optimal control problems
- Necessary conditions of optimality for vector-valued impulsive control problems
- On \(\mathcal L^1\) limit solutions in impulsive control
- The variational maximum principle and second-order optimality conditions for impulse processes and singular processes
- Measure driven differential inclusions
- Infimum gaps for limit solutions
- Fréchet generalized trajectories and minimizers for variational problems of low coercivity
- Hybrid dynamical systems with controlled discrete transitions
- Necessary conditions of the minimum in an impulse optimal control problem
- On asymptotic exit-time control problems lacking coercivity
- A Sampling Method and Approximation Results for Impulsive Systems
- On Spiking Models for Synaptic Activity and Impulsive Differential Equations
- Approximation of control problems involving ordinary and impulsive controls
- Generalized Solutions in Nonlinear Stochastic Control Problems
- System Control and Rough Paths
- On the properness of an impulsive control extension of dynamic optimization problems
- An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
- Variational Problems with Unbounded Controls
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