Necessary conditions for impulsive nonlinear optimal control problems without a priori normality assumptions

DOI10.1007/s10957-004-6465-xzbMath1104.49030OpenAlexW2110015462MaRDI QIDQ1774032

Niranjan Chakravarthy

Publication date: 29 April 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-6465-x

zbMATH Keywords

abnormalitysecond-order optimality conditionsextremal principleoptimal impulsive control

Mathematics Subject Classification ID

Impulsive optimal control problems (49N25)

Related Items (12)

Second-order necessary optimality conditions in optimal impulsive control problems ⋮ State-constrained optimal control problems of impulsive differential equations ⋮ Systems with distributions and viability theorem ⋮ Measure-controlled dynamic systems: polyhedral approximation of their reachable set boundary ⋮ State constraints in impulsive control problems: Gamkrelidze-like conditions of optimality ⋮ Necessary conditions of the minimum in an impulse optimal control problem ⋮ Variable Time Impulse System Optimization with Continuous Control and Impulse Control ⋮ Infimum gaps for limit solutions ⋮ Investigation of regularity conditions in optimal control problems with geometric mixed constraints ⋮ An Optimization-Based Framework for Impulsive Control Systems ⋮ A Higher-Order Maximum Principle for Impulsive Optimal Control Problems ⋮ On the properness of an impulsive control extension of dynamic optimization problems

Cites Work

• Impulsive control systems with commutative vector fields
• Necessary conditions of optimality for vector-valued impulsive control problems
• Second order necessary conditions for optimal impulsive control problems
• A Maximum Principle for Optimal Processes with Discontinuous Trajectories
• The Optimal Exploitation of Renewable Resource Stocks: Problems of Irreversible Investment
• High-Order Approximations and Generalized Necessary Conditions for Optimality
• Necessary Conditions for Optimal Impulsive Control Problems

This page was built for publication: Necessary conditions for impulsive nonlinear optimal control problems without a priori normality assumptions