Zobrazeno 1 - 10 of 26 pro vyhledávání: '"C. E. Langenhop"'
2
Characterization of the Controlled States in $W_2^{(1)} $ of Linear Hereditary Systems
Autor: Marc Q. Jacobs, Harvey Thomas Banks, C. E. Langenhop
Publikováno v: SIAM Journal on Control. 13:611-649
The question of controlling a linear retarded functional differential equation from an initial function to a terminal function, both functions belonging to the Sobolev space $W_2^{(1)} $, is considered. Necessary and sufficient conditions for full co
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5f1d76ddb33dba268185a175b43b5eb1
https://doi.org/10.1137/0313035
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3
A Sufficient Condition for Function Space Controllability of a Linear Neutral System
Autor: Hernan Rivera Rodas, C. E. Langenhop
Publikováno v: SIAM Journal on Control and Optimization. 16:429-435
A proof is given for the following conjecture. When ${\operatorname{rank}}[b,A_{ - 1} b, \cdots ,A_{ - 1}^{n - 1} b] = n$, a sufficient condition for function space controllability of $\dot x(t) = A_{ - 1} \dot x(t - h) + A_0 x(t) + A_1 x(t - h) + bu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd3487c496cf74594cfb3c52628397f6
https://doi.org/10.1137/0316028
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5
Criteria for Function Space Controllability of Linear Neutral Systems
Autor: C. E. Langenhop, Marc Q. Jacobs
Publikováno v: SIAM Journal on Control and Optimization. 14:1009-1048
Necessary and sufficient conditions for the exact state controllability of the linear autonomous differential difference equation of neutral type, $\dot x(t) = A_{ - 1} \dot x(t - h) + A_0 x(t) + A_1 x(t - h) + Bu(t)$, are given for the Sobolev state
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::72af7662677379558507882c54921bc6
https://doi.org/10.1137/0314064
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8
On the stabilization of linear systems
Autor: C. E. Langenhop
Publikováno v: Proceedings of the American Mathematical Society. 15:735-742
be "stabilizable." Here A is an n by n matrix, x and b are n by 1 column matrices (or vectors), p is a 1 by n row matrix and q and u are scalars. We shall assume that the elements of all these may be complex numbers. The vector x can be interpreted p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ddfb39b40140cb20d0c7ffe68404de9f
https://doi.org/10.1090/s0002-9939-1964-0168408-8
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