Inverse response problem (control) of dynamic systems via Hamilton's law
type: Item
instance of: scholarly article
title: Inverse response problem (control) of dynamic systems via Hamilton's law
zbMATH Open document ID: 0608.70030
DOI: 10.1016/0045-7825(87)90087-9
author: B. George
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: By using Hamilton's law (of varying action) directly, the solution of a control problem becomes one of solving a set of algebraic equations only; no differential equations are needed. The approach specifies the response as a polynomial in power series of time, the coefficients of which are chosen to yield the desired behavior of the dynamic system. The unknown control inputs are assumed to be also polynomials in power series of time with unknown coefficients. The inverse response (control) problem is solved by finding these unknown input coefficients by an application of Hamilton's law which must always be satisfied by the dynamic system. The feasibility of the method is demonstrated for the control of a spatially discrete nonlinear dynamic system.
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 70H25
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3984653
zbMATH Keywords: Hamilton's law
zbMATH Keywords: varying action
zbMATH Keywords: control problem
zbMATH Keywords: response
zbMATH Keywords: power series of time
zbMATH Keywords: dynamic system
zbMATH Keywords: control inputs
zbMATH Keywords: inverse response
zbMATH Keywords: spatially discrete nonlinear dynamic system
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90087-9
OpenAlex ID: W2012328613
cites work: Application of Hamilton's law of varying action
cites work: Hamilton, Ritz, and Elastodynamics
description: scientific article; zbMATH DE number 3984653