An Impulsive Control Problem with State Constraint

Train Scheduling Problem with Consideration of Praying Constraint as an Application of Job Shop Scheduling Problem

The present paper extends the idea of job shop scheduling problem with resting constraints to the train scheduling problem with the Muslim praying considerations. For this purpose, after proposing the new mathematical model, a heuristic algorithm based on the Electromagnetism-Like algorithm (EM) which is well adjusted to scheduling problems is employed to solve the large-size practical cases. T...

An Iterative Algorithm for Optimal Impulsive Control Problem

Minimal Invasion: an Optimal L∞ State Constraint Problem

In this work, the least pointwise upper and/or lower bounds on the state variable on a specified subdomain of a control system under piecewise constant control action are sought. This results in a non-smooth optimization problem in function spaces. Introducing a Moreau-Yosida regularization of the state constraints, the problem can be solved using a superlinearly convergent semi-smooth Newton m...

Impulsive Tracking Control for Non-measurable State with Time-delay

In this paper, we discuss the problem by utilizing impulsive control and Lyapunov function methods, which is about the state of disturbed systems with time-delay tracking the state of reference systems. Sufficient conditions for the solvability of the tracking control problem are given for the measurable state and the non-measurable state of system respectively. This impulsive control law based...

State-space solution to a minimum-entropy ℋ1-optimal control problem with a nested information constraint

State-space formulas are derived for the minimumentropy H∞ controller when the plant and controller are constrained to be block-lower-triangular. Such a controller exists if and only if: the corresponding unstructured problem has a solution, a certain pair of coupled algebraic Riccati equations admits a mutually stabilizing fixed point, and a pair of spectral radius conditions is met. The contr...