DocumentCode
3472630
Title
Lyapunov functions for systems described by high order differential equations
Author
Willems, Jan C.
Author_Institution
Math. Inst., Groningen Univ., Netherlands
fYear
1991
fDate
11-13 Dec 1991
Firstpage
900
Abstract
Systems described by high order differential equations are discussed. Stability theory, especially Lyapunov theory is primarily a theory of systems described by first-order differential equations, by flows on manifolds. It is possible to develop a Lyapunov theory which makes it necessary to go through a state space representation. The theory of quadratic Lyapunov differential equations is based on two-variable polynomials. Two-variable polynomials, derivative polynomials, and Lyapunov functions are considered. Examples are included
Keywords
Lyapunov methods; differential equations; polynomials; stability; state-space methods; Lyapunov functions; Lyapunov theory; derivative polynomials; high order differential equations; quadratic Lyapunov differential equations; state space representation; two-variable polynomials; Chromium; Differential equations; Erbium; Lyapunov method; Mathematics; Polynomials; Stability; State-space methods; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location
Brighton
Print_ISBN
0-7803-0450-0
Type
conf
DOI
10.1109/CDC.1991.261449
Filename
261449
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