9R17. Liapunov Functions and Stability in Control Theory. Lecture Notes in Control and Information Sciences 267. - A Bacciotti (Dipt di Matematica, Politecnico di Torino, Italy) and L Rosier (Lab d’ Analyze Numerique et EDP, Univ Paris 11, France). Springer-Verlag, New York. 2001. 208 pp. Softcover. ISBN 1-85233-419-3. $69.80.

Reviewed by Zongli Lin (Dept of Elec and Comput Eng, Univ of Virginia, Charlottesville VA 22903).

Systems and control theory plays an important role in the analysis and design of engineering systems such as mechanical systems. To apply systems and control theory to an engineering system, the system has to be represented by a mathematical model, typically a set of ordinary or partial differential equations. The partial differential equations may also be approximated by ordinary differential equations by, for example, the finite element method 1. Regardless of how they arise, the...

Allaire PE (1985), Basics of the Finite Element Method: Solid Mechanics, Heat Transfer, and Fluid Mechanics, WC Brown Publ, Dubuque IA.
Khalil H K (1996), Nonlinear Systems, Second Edition, Prentice Hall, Upper Saddle River NJ.
Vidyasagar M (1993), Nonlinear Systems Analysis, Second Edition, Prentice Hall, Englewood Cliffs NJ.
Hahn W (1967), Stability of Motion, Springer-Verlag, Berlin.
Isidori A (1995), Nonlinear Control Systems, Third Edition, Springer, Berlin.
Nijmeijer H and van der Schaft AJ (1990), Nonlinear Dynamical Control, Springer-Verlag, New York.
Sastry S (1999), Nonlinear Systems Analysis, Stability and Control, Springer, New York.
You do not currently have access to this content.