@inproceedings{a8cfb844ceee46bf82adad69a19378ca,
title = "Polynomial controllability in linear time-invariant systems: Some further results and applications to optimal control",
abstract = "Previous studies have shown that a controllable linear system can be driven from a given initial condition to a desired target by means of a polynomial input function whose coefficients are obtained simply by solving a set of linear algebraic equations. This paper shows how the application of the concept of polynomial controllability is useful for solving a suboptimal control problem. In particular we present a simple procedure for searching for a control function that minimizes a quadratic performance measure while the system is transferring between specified end-points. The approach is implemented for both state-space and singular linear time-invariant controllable systems.",
keywords = "Linear time-invariant system, Optimal control, Polynomial controllability, Singular system, Suboptimal control",
author = "Amit Ailon",
note = "Publisher Copyright: Copyright {\textcopyright} 2002 IFAC.; 15th World Congress of the International Federation of Automatic Control, 2002 ; Conference date: 21-07-2002 Through 26-07-2002",
year = "2002",
month = jan,
day = "1",
doi = "10.3182/20020721-6-es-1901.00324",
language = "English",
isbn = "9783902661746",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1",
pages = "449--454",
editor = "Gabriel Ferrate and Camacho, {Eduardo F.} and Luis Basanez and {de la Puente}, {Juan. A.}",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
address = "Austria",
edition = "1",
}