Incremental Graphical Asymptotic Stability for Hybrid Dynamical Systems

摘要: This chapter introduces an incremental asymptotic stability notion for sets of hybrid trajectories \({\mathscr {S}}\). The elements in {S}}\) are functions defined on time domains, which subsets \({\mathbb {R}_{\ge 0}}\times \mathbb {N}\) with a specific structure. For this abstract system, is as the property graphical distance between every pair solutions to system having stable behavior (incremental stability) and approaching zero asymptotically attractivity). Necessary conditions have such properties presented. When generated by systems given terms inclusions, that is, differential equations difference state constraints, further necessary data highlighted. In addition, sufficient involving inclusion Throughout chapter, examples illustrate notions results.