# Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control

## TL;DR

This paper introduces a numerical algorithm for controlling nonlinear stationary systems to achieve state transfer, demonstrated through an interorbital flight example, with a focus on practical implementation.

## Contribution

It presents a new constructive algorithm for solving boundary value problems in nonlinear control systems, suitable for numerical application.

## Key findings

- Algorithm successfully transfers states in nonlinear systems
- Numerical simulation confirms effectiveness for interorbital flight
- Provides a practical criterion for transfer feasibility

## Abstract

An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final state under certain control restrictions is proposed. The algorithm is designed to be convenient for numerical implementation. A constructive criterion of the desired transfer possibility is presented. The problem of an interorbital flight is considered as a test example and it is simulated numerically with the presented method.

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Source: https://tomesphere.com/paper/1702.08721