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On mean square boundedness of stochastic linear systems with bounded controls

DSpace at IIT Bombay

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Title On mean square boundedness of stochastic linear systems with bounded controls
 
Creator CHATTERJEE, D
RAMPONI, F
HOKAYEM, P
LYGEROS, J
 
Subject Stochastic control
Constrained control
Linear systems
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Description We start by summarizing the state of the art in stabilization of stochastic linear systems with bounded inputs and highlight remaining open problems. We then report two new results concerning mean-square boundedness of a linear system with additive stochastic noise. The first states that, given any nonzero bound on the controls, it is possible to construct a policy with bounded memory requirements that renders a marginally stable stabilizable system mean-square bounded in closed-loop. The second states that it is not possible to ensure mean-square boundedness in closed-loop with a bounded control policy for systems affected by unbounded noise and having at least one eigenvalue outside the unit circle. (C) 2011 Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-10-16T15:32:15Z
2014-10-16T15:32:15Z
2012
 
Type Article
 
Identifier SYSTEMS & CONTROL LETTERS, 61(2)375-380
http://dx.doi.org/10.1016/j.sysconle.2011.12.002
http://dspace.library.iitb.ac.in/jspui/handle/100/15911
 
Language en