Concepedia

The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators

A. J. Pritchard, Dietmar Salamon

SIAM Journal on Control and Optimization · 1987 · 224 citations · 18 references

DOI

Concepts

Abstract

Abstract. This paper establishes a general semigroup framework for solving quadratic control problems with infinite dimensional state space and unbounded input and output operators. Key words, infinite dimensional systems, linear quadratic control, unbounded inputs and outputs, semigroups AMS(MOS) subject classification. 93C25 1. Introduction. The

References

18

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Least squares stationary optimal control and the algebraic Riccati equation

Jan C. Willems · IEEE Transactions on Automatic Control · 1971 · 1.4K citations

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Some trigonometrical inequalities with applications to the theory of series

A. E. Ingham · Mathematische Zeitschrift · 1936 · 380 citations

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Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

Richard Datko · SIAM Journal on Mathematical Analysis · 1972 · 268 citations

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The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces

J. S. Gibson · SIAM Journal on Control and Optimization · 1979 · 189 citations

, , +15