Linear Systems Over Rings: From R. E. Kalman to the Present

作者: EW Kamen , None

DOI: 10.1007/978-3-662-08546-2_17

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摘要: The paper begins with a brief history of the role played by R.E. Kalman in establishment field linear systems over commutative ring. theory rings is motivated considering integer systems, time delays, parameter-dependent and multidimensional including spatially-distributed systems. Then survey given existing work on control along some discussion open research problems.

参考文章(47)
E. D. Sontag, Linear Systems over Commutative Rings. A Survey Ricerche di Automatica. ,vol. 7, pp. 1- 34 ,(1976)
Christopher I. Byrnes, Algebraic and Geometric Aspects of the Analysis of Feedback Systems Springer Netherlands. pp. 85- 124 ,(1980) , 10.1007/978-94-009-9082-1_2
R.E. Kalman, Lectures on Controllability and Observability Controllability and Observability. pp. 1- 149 ,(2010) , 10.1007/978-3-642-11063-4_1
R.E. Kalman, M.L.J. Hautus, REALIZATION OF CONTINUOUS-TIME LINEAR DYNAMICAL SYSTEMS: RIGOROUS THEORY IN THE STYLE OF SCHWARTZ Ordinary Differential Equations#R##N#1971 NRL–MRC Conference. pp. 151- 164 ,(1972) , 10.1016/B978-0-12-743650-0.50018-6
Rudolf Emil Kalman, Peter L Falb, Michael A Arbib, Topics in Mathematical System Theory ,(1969)
Fred S. Van Vleck, James W. Brewer, John W. Bunce, Linear Systems over Commutative Rings ,(1986)
Eduardo D. Sontag, On linear systems and noncommutative rings Theory of Computing Systems \/ Mathematical Systems Theory. ,vol. 9, pp. 327- 344 ,(1975) , 10.1007/BF01715359
C.G. Naudé, G. Naudé, Comments on pole assignability over rings Systems & Control Letters. ,vol. 6, pp. 113- 115 ,(1985) , 10.1016/0167-6911(85)90007-6
Christopher Byrnes, Realization theory and quadratic optimal controllers for systems defined over Banach and Frechét algebras conference on decision and control. ,vol. 19, pp. 247- 251 ,(1980) , 10.1109/CDC.1980.271791