A graph-theoretic characterization of structurally fixed modes

A characterization of structurally fixed modes in linear systems is given in the graph-theoretic framework. The characterization results in a computationally efficient test for stabilizability of systems under feedback structure constraints.

[1]  John Casti.  Large-scale dynamic systems: stability and structure : D.D. Siljak 416 pages, diagrams, 6 x 9 in., Elsevier/North-Holland, New York, 1978. Price, $25.00. , 1979 .

[2]  D. Siljak,et al.  Vulnerability of dynamic systems , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[3]  Dragoslav D. Siljak,et al.  A graph-theoretic algorithm for hierarchical decomposition of dynamic systems with applications to estimation and control , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[4]  Ching-tai Lin.  Structural controllability , 1974 .

[5]  B. O. Anderson,et al.  Time-varying feedback laws for decentralized control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[6]  E. Davison,et al.  On the stabilization of decentralized control systems , 1973 .

[7]  L. Silverman,et al.  Characterization of structural controllability , 1976 .

[8]  Edward J. Davison,et al.  Characterizations of Decentralized Fixed Modes for Interconnected Systems , 1981 .

[9]  Sk Katti.  Decentralized control of linear multivariable systems , 1981 .

[10]  M. E. Sezer,et al.  A Graphical Test for Structurally Fixed Modes , 1982, 1982 American Control Conference.

[11]  D. Siljak,et al.  Structurally fixed modes , 1981 .

[12]  B. F. Doolin,et al.  Large scale dynamic systems , 1975 .

[13]  J. Pearson,et al.  Structural controllability of multiinput linear systems , 1976 .

[14]  Brian D. O. Anderson.  Transfer function matrix description of decentralized fixed modes , 1981, CDC 1981.

[15]  M. Vidyasagar,et al.  Algebraic characterization of decentralized fixed modes and pole assignment , 1982, 1982 21st IEEE Conference on Decision and Control.

[16]  Brian D. O. Anderson,et al.  Algebraic characterization of fixed modes in decentralized control , 1981, Autom..

[17]  D. Siljak.  Vulnerability of Dynamic Systems , 1977 .

[18]  Norman,et al.  Structural Models: An Introduction to the Theory of Directed Graphs. , 1966 .