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How to Get a Conservative Well-Posed Linear System Out of Thin Air. Part II. Controllability and Stability
2003
SIAM Journal of Control and Optimization
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The following proposition is a restatement of a part of Theorem I.1.3. Proposition 1.2. With the notation of Theorem 1.1 and (1.7)-(1.10), the semigroup generator of Σ is A, its control operator is B, and its observation operator is and we have G(s) ≤ 1 for all s ∈ C 0 . Now we have all the necessary ingredients to state the new results of this paper. The following theorems use various controllability, observability, and stability concepts. The precise definition of these concepts is given in
doi:10.1137/s0363012901399295
fatcat:mhzovdiiovcftntnm5ymaolnhe