An Overview of Bilinear System Theory and Applications

[1]  Wei-Liang Chow Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung , 1940 .

[2]  E. Lee,et al.  Optimal control for nonlinear processes , 1961 .

[3]  R. Hermann On the Accessibility Problem in Control Theory , 1963 .

[4]  H. Hermes Controllability and the Singular Problem , 1964 .

[5]  A V Balakrishnan,et al.  On the controllability of a nonlinear system. , 1966, Proceedings of the National Academy of Sciences of the United States of America.

[6]  R. R. Mohler,et al.  Completely Controllable Bilinear Systems , 1968 .

[7]  R. R. Mohler,et al.  Control With a Multiplicative Mode , 1969 .

[8]  Reactivity Rate-Constrained Time-Optimal Neutron Kinetics , 1969 .

[9]  Stanley B. Gershwin,et al.  A controllability theory for nonlinear systems , 1971 .

[10]  R. R. Mohler,et al.  Reachable zones for equicontinuous bilinear control processes , 1971 .

[11]  Baxter F. Womack,et al.  On the Controllability of Nonlinear Systems. , 1971 .

[12]  R. Brockett System Theory on Group Manifolds and Coset Spaces , 1972 .

[13]  A. Isidori Direct construction of minimal bilinear realizations from nonlinear input-output maps , 1973 .

[14]  C. Bruni,et al.  Bilinear systems: An appealing class of "nearly linear" systems in theory and applications , 1974 .

[15]  R. Mohler,et al.  Biological modeling with variable compartmental structure , 1974 .

[16]  A. Isidori,et al.  Realization and Structure Theory of Bilinear Dynamical Systems , 1974 .

[17]  Tzyh-Jong Tarn,et al.  Controllability of Bilinear Systems , 1975 .

[18]  Roger W. Brockett,et al.  On the Reachable Set for Bilinear Systems , 1975 .

[19]  Masanao Aoki,et al.  Some Examples of Dynamic Bilinear Models in Economics , 1975 .

[20]  Arthur J. Krener,et al.  Bilinear and Nonlinear Realizations of Input-Output Maps , 1975 .

[21]  J. Lo Global Bilinearization of Systems with Control Appearing Linearly , 1975 .

[22]  H. Koenig Variable Parameter Structures in Technology Assessment and Land Use , 1975 .

[23]  Bilinearity and Sensitivity in Macroeconomy , 1975 .

[24]  W. Rugh,et al.  Structural features of factorable Volterra systems , 1976 .

[25]  R R Mohler,et al.  Necessary and sufficient conditions in the tracer determination of compartmental system order. , 1976, Journal of theoretical biology.

[26]  Roger W. Brockett Volterra series and geometric control theory , 1976, Autom..

[27]  H. Spang,et al.  Second-order correlation method for bilinear system identification , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[28]  R. R. Mohler,et al.  Case studies in bilinear system identification , 1977 .

[29]  Alan S. Perelson,et al.  Applications of Optimal Control Theory to Immunology , 1978 .

[30]  R. Mohler,et al.  Bilinear system identification by Walsh functions , 1978 .

[31]  Kwang Y. Lee,et al.  Optimal Bilinear Control Theory Applied to Pest Management , 1978 .

[32]  Triangular canonical forms for bilinear systems , 1978 .

[33]  George Oster Bilinear Models in Ecology , 1978 .

[34]  Mathematical Models of Blood Coagulation Kinetics , 1978 .

[35]  Continuous Linear Programming and Piecewise Bilinear Systems , 1978 .

[36]  Pieter A. Frick,et al.  A Study of Dynamic Bilinear Stochastic Models with Applications to Economic Processes , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[37]  Alan S. Willsky,et al.  Algebraic Structure and Finite Dimensional Nonlinear Estimation , 1978 .

[38]  Ioan Doré Landau,et al.  Reduced order bilinear models for distillation columns , 1978, Autom..

[39]  T. Tarn,et al.  An algebraic structure of discrete-time biaffine systems , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[40]  R. Mohler,et al.  T-B cell control processes in immunology , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[41]  E. Gilbert Bilinear and 2-power input-output maps: Finite dimensional realizations and the role of functional series , 1978 .

[42]  R. R. Mohler,et al.  Compartmental control model of the immune process , 1978 .

[43]  R. Vars Public Information Activities: Evaluation with Variable Coefficient Models , 1978 .

[44]  Marshall Slemrod,et al.  Stabilization of Bilinear Control Systems with Applications to Nonconservative Problems in Elasticity , 1978 .

[45]  V. Jurdjevic,et al.  Controllability and stability , 1978 .

[46]  S. Chikte,et al.  Optimal filters for bilinear systems with nilpotent Lie algebras , 1979 .

[47]  Pieter A. Frick On Walsh Noise: Its Properties and Use in Dynamic Stochastic Systems , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[48]  On stochastic bilinear control , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[49]  R. R. Mohler,et al.  Systems Compartmentation in Immunological Modeling , 1979 .

[50]  R.R. Mohler,et al.  A systems approach to immunology , 1980, Proceedings of the IEEE.

[51]  Per-Olof Gutman Stabilizing controllers for bilinear systems , 1981 .