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Zbl 0771.93009
Vu Ngoc Phat; Trinh Cong Dieu
Constrained controllability of linear discrete nonstationary systems in Banach spaces. (English)
[J] SIAM J. Control Optimization 30, No.6, 1311-1318 (1992). ISSN 0363-0129; ISSN 1095-7138/e

Summary: This paper studies local null-controllability of linear infinite- dimensional, nonstationary, discrete-time systems of the form $x\sb{k+1}=A\sb k x\sb k+B\sb k u\sb k$, $u\sb k\in\Omega\subset U$, $x\sb k\in M\sb k\subset X$, where $X$, $U$ are Banach spaces: $A\sb k$, $B\sb k$ are linear bounded operators; $M\sb k$, $\Omega$ are given nonempty subsets. New necessary and sufficient conditions for local null- controllability are given. The main tool is the surjectivity theorem for convex multivalued mappings in Banach spaces.

MSC 2000:: *93B05 Controllability
93C15 Control systems governed by ODE

Keywords: local null-controllability; discrete-time systems

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