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Essential uncontrollability of discrete linear, time-invariant, dynamical systemsThe concept of a 'best approximating m-dimensional subspace' for a given set of vectors in n-dimensional whole space is introduced. Such a subspace is easily described in terms of the eigenvectors of an associated Gram matrix. This technique is used to approximate an achievable set for a discrete linear time-invariant dynamical system. This approximation characterizes the part of the state space that may be reached using modest levels of control. If the achievable set can be closely approximated by a proper subspace of the whole space then the system is 'essentially uncontrollable'. The notion finds application in studies of failure-tolerant systems, and in decoupling.
Document ID
19760045821
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Cliff, E. M.
(Virginia Polytechnic Institute and State University Blacksburg, Va., United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1975
Subject Category
Cybernetics
Meeting Information
Meeting: International Federation of Automatic Control, Triennial World Congress
Location: oston
Country: US
Start Date: August 24, 1975
End Date: August 30, 1975
Sponsors: International Federation of Automatic Control
Accession Number
76A28787
Funding Number(s)
CONTRACT_GRANT: NSF GK-37401
CONTRACT_GRANT: NSG-1015
Distribution Limits
Public
Copyright
Other

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