1983
DOI: 10.1007/bf00934533
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On the problem of observation spillover in self-adjoint distributed-parameter systems

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Cited by 180 publications
(50 citation statements)
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“…[12] also points out that a finite-state approximation may wrongly render fundamental system theoretic properties like controllability and observability to be functions of the approximation. Stability analysis based on finite state approximation is vulnerable to spillover instabilities which arise due to inadequate accounting of the residual modes [4,51].…”
Section: Literature Reviewmentioning
confidence: 99%
“…[12] also points out that a finite-state approximation may wrongly render fundamental system theoretic properties like controllability and observability to be functions of the approximation. Stability analysis based on finite state approximation is vulnerable to spillover instabilities which arise due to inadequate accounting of the residual modes [4,51].…”
Section: Literature Reviewmentioning
confidence: 99%
“…P is the constant axial pretension at the boundary x"¸. Equation (2) has been used in the literature to describe the variation of tension along the length of a string [6,10]. In this paper, only the elongation of the beam due to bending is considered.…”
Section: Equations Of Motionsmentioning
confidence: 99%
“…Boundary control is an e$cient method to exclude the e!ect of both observation and control spillover [1,2]. A brief review of boundary control is given in reference [3].…”
Section: Introductionmentioning
confidence: 99%
“…The control design and stability analysis of flexible mechanical systems based on PDEs has been extensively studied [10][11][12][13][14][15]. The asymptotic behavior of a partial state of a coupled PDE and ordinary differential equation (ODE) is investigated in [16].…”
Section: Introductionmentioning
confidence: 99%