The use of impulse-function and its derivatives for changing the state of a multi-input multi-output differential system in (almost) zero time

Grigoris I. Kalogeropoulos, Athanasios D. Karageorgos, Athanasios A. Pantelous

Research output: Contribution to journalArticleResearchpeer-review


In many practical applications, the (almost) zero time state changing is more than important. Thus, in this short paper we develop a methodology for the state changing of a multi-input multi-output linear control differential system by using a linear combination of Dirac δ-function and its derivatives. Obviously, such an input is very hard to imagine physically. Using linear algebra techniques and the generalized inverse theory, the input's coefficients are fully determined. Finally, the whole work ends up with the analytic presentation of an illustrative numerical example.

Original languageEnglish
Pages (from-to)11-15
Number of pages5
JournalSystems Science
Issue number3
Publication statusPublished - 2008
Externally publishedYes


  • Impulse-function and its derivative
  • Linear differential systems
  • State chasing
  • Zero time

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