Ensemble reachability of homogenous parameter‐depedent systems | Zendy

Schönlein Michael | Zendy

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Ensemble reachability of homogenous parameter‐depedent systems

Author(s) -

Schönlein Michael

Publication year - 2021

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.202000342

Subject(s) - reachability , class (philosophy) , task (project management) , mathematics , linear system , discrete mathematics , computer science , pure mathematics , combinatorics , artificial intelligence , mathematical analysis , economics , management

In this paper we consider the class (θ A , B ) of parameter‐dependent linear systems given by matrices A ∈ ℂ n × n and B ∈ ℂ n × m . This class is of interest for several applications and the frequently met task for such systems is to steer the origin toward a given target family f (θ) by using an input that is independent from the parameter. This paper provides a collection of necessary and sufficient conditions for ensemble reachability for these systems.

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