Constructive Algebraic Geometry in Nonlinear Control

• It is shown how Grobner bases can be used to solve some common problems in nonlinear systems theory efficiently. These problems include finding critical levels of local Lyapunov functions and solving the equations that arise in the harmonic balancing method. The methods proposed are illustrated by some concrete examples in which the computer algebra system Maple is used for performing the necessary calculations.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Nyckelord

Algebraic geometry

Nonlinear control systems

Lyapunov method

Automatic control

Reglerteknik

Publikations- och innehållstyp

ref (ämneskategori)

kon (ämneskategori)