SIAM Journal on Control and Optimization, Vol.52, No.1, 520-544, 2014
CONTINUOUS AND DISCONTINUOUS HOMOGENEOUS FEEDBACKS FINITE-TIME PARTIALLY STABILIZING CONTROLLABLE MULTICHAINED SYSTEMS
This paper gives various constructions of stabilizing feedbacks of the well-known chained systems by various approaches. Briefly, the paper presents new alternatives to overcome the Brockett's obstruction; these alternatives are the finite-time partially stabilizability by continuous or discontinuous state feedback laws.
Keywords:finite-time partial stability;homogeneity;Holder feedback laws;discontinuous feedback laws;m-chained systems