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- W2003286329 abstract "CONTENTS 1. The problem of relative null-controllability and the concept of pointwise completeness 1.1. Definition of relative null-controllability 1.2. An implicit condition for relative null-controllability 1.3. The concept of pointwise completeness 1.4. A short historical sketch 2. Elements of decomposition theory. Functional-differential systems with finite spectrum 2.1. The infinitesimal generator. Generalized eigenspace 2.2. Computation of generalized eigenfunctions 2.3. Structure of the generalized eigenspace 2.4. A bilinear form. The formally adjoint operator 2.5. Decomposition of the state space 2.6. An estimate of the solution on the complementary subspace 2.7. Preliminary results 2.8. A criterion for pointwise degeneracy of systems with finite spectrum 2.9. Pointwise completeness of systems with finite spectrum 3. Conditions for pointwise completeness and pointwise degeneracy of systems with concentrated delays 3.1. An implicit criterion for pointwise completeness 3.2. Properties of the fundamental matrix 3.3. Auxiliary results 3.4. Parametric criteria for pointwise degeneracy and pointwise completeness of the system Σ1 4. A criterion for relative null-controllability of linear autonomous differential- difference systems. Other problems related to the problem of pointwise completeness 4.1. The concept of relative controllability. A sufficient condition for relative null-controllability 4.2. A survey of results on problems of relative null-controllability and relative controllability 4.3. A criterion for relative null-controllability 4.4. A criterion for pointwise completeness of differential-difference equations of neutral type 4.5. The relation between conditions for relative null-controllability and relative controllability 4.6. Relative observability and relative identifiability of systems with delay 4.7. The problem of controllability of the initial function and the problem of reducibility 4.8. Conclusion References" @default.
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- W2003286329 title "The problem of pointwise completeness in the theory of control of differential-difference systems" @default.
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