This article is cited in 2 papers

Analysis and synthesis of control systems

Steady-states control in positive nonlinear normalized models of weakly formalized systems

E. K. Kornoushenko

Institute of Control Sciences, Russian Academy of Sciences, Moscow

Abstract: The paper considers the existence of steady-states (asymptotically stable) in positive nonlinear normalized models (PNM) and control for such states in positive orthant $K$ of $R^n$. The graph model of PNM is a functional graph. Using the notion of admissible control (with coordinates in $(0,1]$) a convexity of stable states set in PNM generated by admissible controls has been proved. The issues of PNM movement from any initial state in $K$ to some predetermined stable state in $K$ have been solved (in asymptotical sense) for open-loop PNM and for PNM with linear state feedback. The appropriate procedures are illustrated by numerical example.

UDC: 519.876.2

 English version: Control Sciences, 2015, 76:7, 1291–1301

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