This article is cited in 8 papers

Deterministic Systems

Causality and stability conditions for the control of a linear distributed system

È. M. Solnechnyi

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: For a linear distributed system controlled by nonlinear feedback, a sufficient condition for the existence, causality, and boundedness of an operator that transforms the external action and initial state of the system to the behavior of the output of a closed-loop system is formulated. A procedure is designed for determining the class of feedbacks ensuring the causality and stability of the closed-loop control system. It is applicable to a linear one-dimensional heat conduction system controlled by nonlinear temperature feedback to the boundary action.

PACS: 02.30.Yy

Presented by the member of Editorial Board: L. B. Rapoport

Received: 21.09.2005

 English version: Automation and Remote Control, 2006, 67:4, 562–588

Bibliographic databases:

• 
• 
•