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Journal ArticleDOI

Observability and Related Problems for Partial Differential Equations of Parabolic Type

Yoshiyuki Sakawa
- 01 Jan 1975 - 
- Vol. 13, Iss: 1, pp 14-27
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TLDR
In this paper, a sufficient condition for continuous dependence of a state of a system upon the observation, location of sensors for ensuring observability and continuity are discussed for several examples, and necessary and sufficient conditions for observability are presented for distributed-parameter systems described by linear partial differential equations of parabolic type.
Abstract: 
Questions regarding observability on the basis of the observed measurement data from a finite number of sensors are discussed for the distributed-parameter systems described by linear partial differential equations of parabolic type. Necessary and sufficient conditions for observability are presented. We obtain a sufficient condition for continuous dependence of a state of the system upon the observation, Location of sensors for ensuring observability and continuity are discussed for several examples.

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Book

Control and Nonlinearity

Jean-Michel Coron
TL;DR: In this article, the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions are studied, with a focus on specific phenomena due to nonlinearities.
Journal ArticleDOI

Sensors and controllers location in distributed systems-A survey

Carlos S. Kubrusly, +1 more
- 01 Mar 1985 - 
TL;DR: A survey of the field of optimal sensors and/or controllers location for dynamical distributed parameter systems modelled by partial differential equations is presented and a classification of methods is proposed.
Journal ArticleDOI

Distributed parameter system indentification A survey

Carlos S. Kubrusly
- 01 Oct 1977 - 
TL;DR: This report presents a survey of methods for the Distributed Parameter System Identification Problem, grouping the various identification methods into three disjoint classes, namely ‘ Direct Method ’, ‘ Reduction to a Lumped Parameter system ’ and ‘ reduction to an Algebraic Equation ’.
Book ChapterDOI

Feedback control of linear diffusion processes

Mark J. Balas
- 01 Mar 1979 - 
TL;DR: In this article, the authors considered the class of diffusion processes described by the generalized heat equation and obtained a practical feedback controller for N system modes, where the remaining process modes are effected by the controller and this control spillover is shown to reduce the desired system response time by a predictable amount.
Journal ArticleDOI

Optimal sensor location problem for a linear distributed parameter system

Shigeru Omatu, +2 more
- 01 Aug 1978 - 
TL;DR: In this article, an optimal sensor location problem for a linear distributed parameter system is studied, where the objective is to minimize the trace of the optimal filtering error covariance function for the pointwise observation case.