External Stability

  • Andrea BacciottiEmail author
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 185)


In this chapter we address the study of the external stability. External stability is a natural consequence of the internal stability properties studied in Chap.  3. However, there are systems which are externally stable but not internally stable. Necessary and sufficient conditions for external stability are proven, in terms of the canonical decomposition introduced in Chap.  5.


External Stability Internal Stability Properties Unforced System Impulse Response Matrix BIBO Stability 
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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Scienze Matematiche “G.L. Lagrange” (DISMA: Dipartimento di eccellenza 2018–22)Politecnico di TorinoTurinItaly

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