— This paper studies a class of hybrid systems with linear (or linear plus saturated linear) continuous and discrete dynamics, which are determined by a flow map and jump map, a...
Dan Dai, Ricardo G. Sanfelice, Tingshu Hu, Andrew ...
Abstract. In many cases, complex system behaviors are naturally modeled as nonlinear differential equations. However, these equations are often hard to analyze because of "sti...
We present computational techniques for automatically generating algebraic (polynomial equality) invariants for algebraic hybrid systems. Such systems involve ordinary differentia...
— Interconnection of several hybrid input-to-state stable (ISS) systems is considered in this paper. We ask under what condition is such an interconnection stable and how an ISS-...
In this work we present a novel control design methodology for under-actuated mechanical systems. As part of the design process we use the reachability analysis tool d/dt [ABDM99,D...
Eugene Asarin, Sorav Bansal, Bernard Espiau, Thao ...