Nonlinear Systems: Analysis, Stability, and Control

1 Linear vs. Nonlinear.- 2 Planar Dynamical Systems.- 3 Mathematical Background.- 4 Input-Output Analysis.- 5 Lyapunov Stability Theory.- 6 Applications of Lyapunov Theory.- 7 Dynamical Systems and Bifurcations.- 8 Basics of Differential Geometry.- 9 Linearization by State Feedback.- 10 Design Examples Using Linearization.- 11 Geometric Nonlinear Control.- 12 Exterior Differential Systems in Control.- 13 New Vistas: Multi-Agent Hybrid Systems.- References.

[1]  L. Rayleigh,et al.  The theory of sound , 1894 .

[2]  J. Yorke,et al.  Period Three Implies Chaos , 1975 .

[3]  Niel Shell,et al.  Point at infinity , 1988, Bulletin of the Australian Mathematical Society.

[4]  J. Rodriguez,et al.  Problem (1) , 1994 .

[5]  J. Rodriguez,et al.  Problem (2) , 1994 .

[6]  Michael Wolfe,et al.  J+ = J , 1994, ACM SIGPLAN Notices.