NEW ALGEBRAIC CRITERIA FOR ABSOLUTE STABILITY OF NONLINEAR-SYSTEMS

Authors
HSIAO FH HSIEH JG CHANG JS
Citation
Fh. Hsiao et al., NEW ALGEBRAIC CRITERIA FOR ABSOLUTE STABILITY OF NONLINEAR-SYSTEMS, International journal of robust and nonlinear control, 5(6), 1995, pp. 591-607
Citations number
7
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics,"Engineering, Eletrical & Electronic
Journal title
International journal of robust and nonlinear control → ACNP
ISSN journal
10498923
Volume
5
Issue
6
Year of publication
1995
Pages
591 - 607
Database
ISI
SICI code
1049-8923(1995)5:6<591:NACFAS>2.0.ZU;2-1
Abstract
In this paper, new and simple algebraic criteria are derived via eleme ntary proofs to provide easy sufficient conditions for the standard ab solute stability problems of nonlinear systems, i.e. Lur'e problems. T hese criteria are equivalent to the famous graphical circle criteria a nd Popov criterion. By means of the Sturm theorem and the Euclidean di vision algorithm, a Routh-Hurwitz-like Sturm criterion is obtained. No graphical technique is needed. Only basic numerical manipulations are involved in the new criteria.