Andrew E. Yagle, Bernard C. Levy. / Bibliography: p. 27. / "July 1981" / "NASA Ames Research Center ... Grant NASA/NGL-22-009-124"

Thesis (Ph. D.)--Ohio State University, 2008. / Title from first page of PDF file. Includes bibliographical references (p. 88-89).

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An interesting type of distributed system is a collection of identical subsystems that interact in a distinct pattern. A notable example is a ring, more commonly referred to as a circulant system. It is well known that control problems for circulant systems can be simplified by exploiting their common connection with the shift operator. Based on an examination of the algebraic properties underlying this connection, we identify a broader class of systems that share common base transformations. We call it the class of linear patterned systems. Members with meaningful physical interpretations include symmetric circulant systems, triangular Toeplitz systems and certain hierarchical systems. A geometric approach is employed to study the basic control properties of patterned systems, including controllability, observability and decomposition. Controller synthesis for several stabilization problems is then considered, and we show that a patterned solution to the problems exists if a general solution exists.

An interesting type of distributed system is a collection of identical subsystems that interact in a distinct pattern. A notable example is a ring, more commonly referred to as a circulant system. It is well known that control problems for circulant systems can be simplified by exploiting their common connection with the shift operator. Based on an examination of the algebraic properties underlying this connection, we identify a broader class of systems that share common base transformations. We call it the class of linear patterned systems. Members with meaningful physical interpretations include symmetric circulant systems, triangular Toeplitz systems and certain hierarchical systems. A geometric approach is employed to study the basic control properties of patterned systems, including controllability, observability and decomposition. Controller synthesis for several stabilization problems is then considered, and we show that a patterned solution to the problems exists if a general solution exists.

Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2008. / Includes bibliographical references (leaves 71-73). Also available in electronic version.

Thesis (M.S.)--Rochester Institute of Technology, 1991. / Typescript. Includes bibliographical references (leaves [28-30]).

Thesis (M.S.)--Ohio University, March, 1998. / Title from PDF t.p.

Thesis (M.S.)--Mechanical Engineering, Georgia Institute of Technology, 2005. / Esogbue, Augustine, Committee Member ; Lee, Kok-Meng, Committee Member ; Ye-Hwa Chen, Committee Chair. Includes bibliographical references.