An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
From MaRDI portal
Publication:5513900
DOI10.1137/0303016zbMath0139.04901OpenAlexW2005452639MaRDI QIDQ5513900
Publication date: 1965
Published in: Journal of the Society for Industrial and Applied Mathematics Series A Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0303016
Related Items (51)
Feedback necessary optimality conditions for a class of terminally constrained state-linear variational problems inspired by impulsive control ⋮ Impulsive control systems without commutativity assumptions ⋮ On ``discontinuous continuity equation and impulsive ensemble control ⋮ Estimates of reachable sets for systems with impulsive control, uncertainty and nonlinearity ⋮ On Complementarity Measure-driven Dynamical Systems ⋮ Existence of equilibria in exhaustible resource industries ⋮ Optimal control and differential games with measures ⋮ Stability and permanence of an eco-epidemiological SEIN model with impulsive biological control ⋮ Examples of nonclassical feedback control problems ⋮ On some extension of optimal control theory ⋮ Nonlinear systems with unbounded controls and state constraints: A problem of proper extension ⋮ Optimal synthesis for the minimum time control problems of fed-batch bioprocesses for growth functions with two maxima ⋮ Numerical analysis of shock interactions with the example of Painlevé paradox with a ``slanted fall of a rod ⋮ On feedback strengthening of the maximum principle for measure differential equations ⋮ Estimates of reachable sets of control systems with bilinear–quadratic nonlinearities ⋮ Impulsive control of nonlocal transport equations ⋮ Invariant solutions of differential games with measures: a discontinuous time reparameterization approach ⋮ Closed loop stability of measure-driven impulsive control systems ⋮ On the optimal control of propagation fronts ⋮ Non-classical problems of optimal feedback control ⋮ Lack of BV bounds for impulsive control systems ⋮ CONTROL AND ESTIMATION FOR A CLASS OF IMPULSIVE DYNAMICAL SYSTEMS ⋮ Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations ⋮ On BV-extension of asymptotically constrained control-affine systems and complementarity problem for measure differential equations ⋮ On \(\mathcal L^1\) limit solutions in impulsive control ⋮ Algorithms to estimate the reachability sets of the pulse controlled systems with ellipsoidal phase constraints ⋮ Pontryagin's maximum principle for constrained impulsive control problems ⋮ \(\mathcal{L}^1\) limit solutions for control systems ⋮ On constrained impulsive control problems ⋮ Nonnegative control of finite-dimensional linear systems ⋮ State constraints in impulsive control problems: Gamkrelidze-like conditions of optimality ⋮ Dynamical generalized functions and the multiplication problem ⋮ Stability notions for a class of nonlinear systems with measure controls ⋮ Normality and nondegeneracy of the maximum principle in optimal impulsive control under state constraints ⋮ Minimal time problem with impulsive controls ⋮ Optimal Control of Nonlinear Hybrid Systems Driven by Signed Measures with Variable Intensities and Supports ⋮ Optimal control of non-convex measure-driven differential inclusions ⋮ Numeric algorithm for optimal impulsive control based on feedback maximum principle ⋮ Infimum gaps for limit solutions ⋮ Minimum time problem with impulsive and ordinary controls ⋮ An Optimization-Based Framework for Impulsive Control Systems ⋮ Invariance for impulsive control systems ⋮ No infimum gap and normality in optimal impulsive control under state constraints ⋮ A Higher-Order Maximum Principle for Impulsive Optimal Control Problems ⋮ State constrained control problems with neither coercivity nor \(L^1\) bounds on the controls ⋮ Existence of an optimal control with sparse jumps in the state variable ⋮ On the properness of an impulsive control extension of dynamic optimization problems ⋮ Nondegenerate Abnormality, Controllability, and Gap Phenomena in Optimal Control with State Constraints ⋮ Fréchet generalized trajectories and minimizers for variational problems of low coercivity ⋮ Impulsive control systems with commutative vector fields ⋮ Optimal control of dynamical systems with polynomial impulses
This page was built for publication: An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
