EAN: 9781461267188

SYSTEMS & CONTROL FOUNDATIONS & APPLICATIONS ...

VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions
.. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity
assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . .
. . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control
problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay
systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result
.............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory
205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3
209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The
relation between P  Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface
Control of distributed parameter systems is a fascinating and challenging top ic  from both a
mathematical and an applications point of view. The same can be said about Hoc-control theory 
which has become very popular lately. I am therefore pleased to present in this book a complete
treatment of the state-space solution to the Hoo-control problem for a large class of
distributed parameter systems.

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