论文信息 - Asymptotic stabilization of planar systems

Asymptotic stabilization of planar systems

Abstract Sufficient conditions for the existence of a C1 asymptotically stabilizing feedback control for planar, affine systems are given. The methods are constructive and yield homogeneous feedback controls for homogeneous systems which allow the results to be extended to more general systems.

Henry Hermes | H. Hermes

[1] M. Kawski. Stabilization of nonlinear systems in the plane , 1989 .

[2] Nikola Samardzija,et al. Stability properties of autonomous homogeneous polynomial differential systems , 1983 .

[3] Gianna Stefani,et al. Global stabilizability of homogeneous vector fields of odd degree , 1988 .

[4] Herbert Forster,et al. Über das Verhalten der Integralkurven einer gewöhnlichen Differentialgleichung erster Ordnung in der Umgebung eines singulären Punktes , 1938 .

[5] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[6] Henry Hermes,et al. Nilpotent and High-Order Approximations of Vector Field Systems , 1991, SIAM Rev..

[7] Henry Hermes. Asymptotically stabilizing feedback controls , 1991 .

[8] R. W. Brockett,et al. Asymptotic stability and feedback stabilization , 1982 .

[9] W. P. Dayawansa,et al. Asymptotic stabilization of a class of smooth two-dimensional systems , 1990 .

[10] Henry Hermes,et al. Asymptotically stabilizing feedback controls and the nonlinear regulator problem , 1991 .

[11] J. L. Massera. Contributions to Stability Theory , 1956 .