It is challenging and interesting to globally stabilize the p-normal form nonlinear system with unknown power integrators. The most difficulty arising from the unknown power integrators is that the power integrator drift causes uncertain homogeneity as well as unknown parameters in Lyapunov function. This paper revamps the tool of adding a power integrator to recursively construct a state-dependent homogeneous domination stabilizer for the p-normal form system with interval power integrators based on the new concept of interval homogeneity with monotone degrees. To judge the existence of interval homogeneity with monotone degrees, a so-called admissible index is proposed. We show that if the system has positive admissible index(es) then it has interval homogeneity with monotone degrees and the interval homogeneity as well as homogeneous weights can be calculated by a rule. Both theoretical analysis and simulations validate our method and conclusions. INDEX TERMS Global stabilization, unknown power drift, interval homogeneity, homogeneous domination approach, adding a power integrator.
Abstract. Bilingual teaching is generally used in higher education. English is used as the second language to learn and acquire the interdisciplinary knowledge except the mother tongue. Some high education philosophies are introduced in this paper. The teaching quality control and assessment are introduced. The teaching methods used in Digital Signal Processing course are discussed. Through the bilingual teaching methods, students could broaden their international view.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.