The hybrid maximum principle is a consequence of Pontryagin's maximum principle

DOI10.1016/j.sysconle.2008.05.006zbMath1151.49017OpenAlexW2031281152MaRDI QIDQ958146

Alexander M. Kaganovich, Andrei V. Dmitruk

Publication date: 2 December 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.05.006

zbMATH Keywords

optimal control problem Pontryagin's maximum principle hybrid system transversality conditions endpoint constraints jumps in adjoint variables

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (32)

On the relation between two approaches to necessary optimality conditions in problems with state constraints ⋮ Optimal therapy scheduling for a simplified HIV infection model ⋮ Existence of solutions to an optimal control problem for a hybrid system ⋮ On stationarity conditions in an optimal control problem with a simple contact with the phase boundary ⋮ Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization ⋮ Stochastic maximum principle for optimal control problem with a stopping time cost functional ⋮ Sufficient optimality conditions for hybrid systems of variable dimension ⋮ Necessary conditions for a class of optimal multiprocess with state constraints ⋮ Time‐optimal control of piecewise affine bistable gene‐regulatory networks ⋮ The minimum principle of hybrid optimal control theory ⋮ Time-domain decomposition for mixed-integer optimal control problems ⋮ Necessary optimality conditions for hybrid system of variable dimension with intermediate constraints ⋮ Necessary optimality conditions for a class of impulsive and switching systems ⋮ Optimality condition-based sensitivity analysis of optimal control for hybrid systems and its application ⋮ Convexity of the cost functional in an optimal control problem for a class of positive switched systems ⋮ Decomposition of linear-quadratic optimal control problems for two-steps systems ⋮ Quadratic weak-minimum conditions for optimal control problems with intermediate constraints ⋮ On the optimal control of rate-independent soft crawlers ⋮ Existence of optimal controls on hybrid time domains ⋮ Separation theorem for average optimal control for hybrid systems of variable dimension ⋮ The connection between discrete and continuous state constrained optimal control systems ⋮ Value function for regional control problems via dynamic programming and Pontryagin maximum principle ⋮ Maximum principle for optimal control problems with intermediate constraints ⋮ Second-order analysis for the time crisis problem ⋮ Indirect methods for fuel-minimal rendezvous with a large population of temporarily captured orbiters ⋮ Synthesis of optimal hybrid systems for multipurpose time-optimal operation ⋮ Second order sufficient optimality conditions for hybrid control problems with state jump ⋮ Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side ⋮ Hybrid parametric minimum principle ⋮ Optimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial Approach ⋮ High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation ⋮ Decomposition of discrete linear-quadratic optimal control problems for switching systems

Cites Work

This page was built for publication: The hybrid maximum principle is a consequence of Pontryagin's maximum principle