2 Finite time interval problem3 Infinite time interval problem; 4 Finite dimensional approximation; 5 Examples and concluding remarks; 6 Acknowledgements; References; Chaptyer 3. Some Results on Exact Controllability; Introduction; 1. A general framework; 2. Dynamic Systems. Controllability Operator; 3. Controllability for the wave equation with Dirichlet conditions; REFERENCES; Chapter 4. Time and Frequency Domain Methods for Infinite-dimensional H -control; 1. INTRODUCTION; 2. THE CALLIER-DESOER CLASS OF TRANSFER FUNCTIONS; 3. THE PRITCHARD-SALAMON CLASS OF STATE-SPACE SYSTEMS

4. H°°-CONTROL THEORY FOR THE PRITCHARD-SALAMON CLASSCONCLUSIONS; REFERENCES; Chapter 5. Compensator Design for Stability Enhancement with Co-located Controllers; 1. INTRODUCTION; 2. A CONCRETE MODEL; 3. THE ABSTRACT MODEL; 4. COMPENSATOR DESIGN; 5. COMPENSATOR TRANSFER FUNCTION; 6. PERFORMANCE EVALUATION; REFERENCES; Chapter 6. Shape Analysis and Optimization in Distributed Parameter Systems; 1. INTRODUCTION.1; 2. EXAMPLES OF SHAPE OPTIMIZATION PROBLEMS.; 3. SHAPE SENSITIVITY ANALYSIS.; 4. SHAPE IDENTIFICATION PROBLEMS.; 5. SHAPE CONTROL PROBLEMS.; 6. EXISTENCE OF OPTIMAL SHAPES.; REFERENCES

PART 2: SYSTEM ANALYSISChapter 1. Controllability of Damped Flexible Systems; INTRODUCTION; 1. HUN WITH SEMIGROUP APPROACH; 2. CONTROLLABILITY OF WEAKLY DAMPED FLEXIBLE SYSTEMS; 3. CONTROLLABILITY OF STRONGLY DAMPED FLEXIBLE SYSTEMS; REFERENCES; Chapter 2. Stabilization of Second Order Evolution Equations by Unbounded Nonlinear Feedback; INTRODUCTION; THE MAIN RESULT; APPLICATION; PROOF OF THEOREM 1; A PARTIAL CONVERSE TO THEOREM 1; REFERENCES; Chapter 3. Stability of Perturbed Linear Distributed Parameter Systems: A Lyapunov Equation Approach; 1. Introduction

2. The nominal system and its perturbations3. Perturbations of the Lyapunov Equation; REFERENCES; Chapter 4. Stabilizability of Distributed Parameter Systems with Unbounded Controls; 0. Introduction; 1. Example; 3. Systems for which (NC) are necessary conditions for stabil izability; Conclusions; References; Chapter 5. Weak Asymptotic Stability for Discrete Linear Distributed Systems; 1. NOTATION AND TERMINOLOGY; 2. INTRODUCTION; 3. WEAKLY CONVERGENT POWER SEQUENCES; 4. WEAK ASYMPTOTIC STABILITY; 5. CONCLUDING REMARKS; REFERENCES

Chapter 6. Time-domain Feedback Control of Distributed Parameter Systems Using Approximate Models -- An Operational Approach