论文信息 - Construction of Lyapunov functions using Grobner bases

Construction of Lyapunov functions using Grobner bases

The author shows how Grobner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamic systems in an optimal way. The method requires the nonlinearities of the system and the Lyapunov function to be of a polynomial type. Some concrete examples of how to apply the method are provided.<<ETX>>

K. Forsman | K. Forsman

[1] A. Vicino,et al. On the estimation of asymptotic stability regions: State of the art and new proposals , 1985 .

[2] Wolfgang Hahn,et al. Stability of Motion , 1967 .

[3] Krister Forsman,et al. Constructive algebraic geometry in nonlinear control , 1990, 29th IEEE Conference on Decision and Control.

[4] J. Thorp,et al. Stability regions of nonlinear dynamical systems: a constructive methodology , 1989 .

[5] D. N. Shields. The behaviour of optimal Lyapunov functions , 1975 .

[6] K. Forsman. Applications of Gröbner Bases to Nonlinear Systems , 1991 .

[7] K. Forsman. Constructive Commutative Algebra in Nonlinear Control Theory , 1991 .