Title :
Lyapunov functions for systems described by high order differential equations
Author_Institution :
Math. Inst., Groningen Univ., Netherlands
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;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261449
