Uncertain linear equations - Open Access .click

Automatica, 2004
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CALAFIORE, Giuseppe Carlo, EL GHAOUI L.
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Semidefinite programming for uncertain linear equations in static analysis of structures

Computer Methods in Applied Mechanics and Engineering, 2008
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Kanno, Yoshihiro, Takewaki, Izuru
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A riccati equation approach to the stabilization of uncertain linear systems

Automatica, 1986
The paper deals with the problem of designing a controller when no accurate model is available for the process to be controlled. Specifically, the problem of stabilizing an uncertain system using state feedback control is considered. The unknown parameters are assumed to be bounded and to vary within time.
PETERSEN, IR, Hollot, CV
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A Riccati equation approach to the design of stabilizing controllers and observers for a class of uncertain linear systems

IEEE Transactions on Automatic Control, 1985
Consider uncertain linear systems (1a) \(\dot x(t)=[A_ 0+\sum^{k}_{i=1}A_ ir_ i(t)]x(t)+[B_ 0+\sum^{\ell}_{i=1}B_ is_ i(t)]u(t)\), (1b) \(y(t)=[C_ 0+\sum^{p}_{i=1}C_ iv_ i(t)]x(t)\) where \(x(t)\in R^ n\) is the state, \(u(t)\in R^ m\) is the control, \(y(t)\in R^ q\) is the measured output, \(r_ i(t)\), \(s_ i(t)\), \(v_ i(t)\) are uncertain ...
Ian Petersen
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mathematics
uncertainty theory
stabilization of systems by feedback

stabilization
linear systems in control theory
exponential stability

interval analysis
fos: mathematics
interval linear systems