Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint | Zendy

Manuel De la Sen | Zendy; Asier Ibeas | Zendy; S. AlonsoQuesada | Zendy

Open Access

Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

Author(s) -

Manuel De la Sen,

Asier Ibeas,

S. AlonsoQuesada

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/382762

Subject(s) - mathematics , constraint (computer aided design) , property (philosophy) , class (philosophy) , set (abstract data type) , finite set , exponential stability , connection (principal bundle) , control theory (sociology) , pure mathematics , control (management) , mathematical analysis , nonlinear system , computer science , philosophy , physics , geometry , epistemology , quantum mechanics , artificial intelligence , programming language

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls

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