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Exact Controllability and Spectrum Assignment
1981Let X and U be two complex Hilbert spaces. We consider the linear (time invariant) system $$\frac{{{\text{dx}}\left( {\text{t}} \right)}}{{{\text{dt}}}} = {\text{Ax}}\left( {\text{t}} \right) + {\text{Bu}}\left( {\text{t}} \right)$$ (1) , where AeL(X), BeL(U,X) and \({\text{u}}\varepsilon {\text{L}}_{{\text{loc}}}^2 \left( {{\text{R}}_{\text{
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Numerical Approximation of Exact Controls for Waves
2013International ...
Ervedoza, Sylvain, Zuazua, Enrique
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Exact controllability in short time
1989The Hilbert Uniqueness Method, introduced by J.-L. Lions, allows one to obtain explicit estimates for the minimal time of exact controllability. We present here a constructive method to improve these estimates. It is based on a slightly more precise form of the usual a priori estimates in the HUM method and on an estimation method introduced recently ...
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Exact Controllability of Parabolic Equations
2018This chapter is concerned with the presentation of some basic results on the exact internal and boundary controllability of linear and semilinear parabolic equations on smooth domains of \({\mathbb {R}}^d.\) The exact controllability of linear stochastic parabolic equations with linear multiplicative Gaussian noise is also briefly studied.
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Moment Problems and Exact Controllability
2014Controllability of linear systems can often be reduced to the solution of suitable, equivalent, moment problems. The moment problem in Hilbert spaces is studied in this chapter. This problem has many facets and we confine ourselves to those properties which are needed in the study of exact controllability for wave-like equations, stressing the relation
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Exact symbolic models for control
2009The prevalent role that software plays in modern complex engineering systems creates new control problems combining requirements of finite-state and of infinite-state nature. The existence of symbolic models for control systems suggests that we can use these abstractions to synthesize controllers enforcing finite-state requirements while accounting for
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Exact Controllability of Abstract Fractional Evolution Systems
Journal of Optimization Theory and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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