
Section 1 provides a theory of reachability, observability, minimal realization and duality for time-varying linear systems, using only the basic language of linear algebra. Section 2 uses category theory to show that time-varying dynamics for adjoint processes in a category $\mathcal{K}$ may be defined as ad joint processes in a suitable new category $\mathcal{K}^{\bf z} $.
Controllability, observability, and system structure, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to linear algebra, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Categories of machines, automata, Formal languages and automata, General systems
Controllability, observability, and system structure, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to linear algebra, Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems), Categories of machines, automata, Formal languages and automata, General systems
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