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How violent are fast controls. III. (English) Zbl 1129.93025

Summary: For (coupled systems of) partial differential equations for which nullcontrol is possible in arbitrarily short time, the ‘standard’ blowup rate for the control cost is exponential in \(1/T\). It is shown how to derive this rate for a variety of systems, including the thermoelastic system with control restricted to a small patch in the domain and to a single component (thermal, displacement, or velocity).

MSC:

93C25 Control/observation systems in abstract spaces
35B37 PDE in connection with control problems (MSC2000)
93C05 Linear systems in control theory
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