The relation between problems of pursuit, controllability and stability in linear systems with different types of constraints

The relation between the solvability of a problem of the pursuit, controllability and stability of linear systems when a geometric constraint is imposed on the control vector of the pursuer, an integral constraint is imposed on the control function of the evader and the matrix of the coeefficients h...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2012, Vol.76 (2), p.179-184
Main Authors: Kuchkarov, A. Sh, Fazylova, G.A.
Format: Article
Language:English
Subjects:
Control systems
Controllability
Eigenvalues
Geometric constraints
Linear systems
Mathematical analysis
Stability
Vectors (mathematics)
Online Access:Get full text
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Summary:The relation between the solvability of a problem of the pursuit, controllability and stability of linear systems when a geometric constraint is imposed on the control vector of the pursuer, an integral constraint is imposed on the control function of the evader and the matrix of the coeefficients has eigenvalues with a positive real part, is established.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2012.05.008