Ball, J. M.; Slemrod, M. Nonharmonic Fourier series and the stabilization of distributed semi- linear control systems. (English) Zbl 0394.93041 Commun. Pure Appl. Math. 32, 553-587 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 44 Documents MSC: 93D15 Stabilization of systems by feedback 93C20 Control/observation systems governed by partial differential equations 93C25 Control/observation systems in abstract spaces 93C10 Nonlinear systems in control theory Keywords:Almost Periodic Functions; Feedback Stabilization; Nonharmonic Fouri × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Sobolev Spaces, Academic Press, New York, 1975. · Zbl 0314.46030 [2] Applied Functional Analysis, Applications of Mathematics, Vol. 3, Springer, New York, 1976. [3] Ball, Proc. Amer. Math. Soc. 63 pp 370– (1977) [4] Ball, J. Differential Equations 27 pp 224– (1978) [5] Ball, Applied Math, and Optimization [6] Almost Periodic Functions, Cambridge University Press, 1932. [7] Almost Periodic Functions, Chelsea, New York, 1947. [8] Nonconservative Problems of the Theory of Elastic Stability, Pergamon Press, New York, 1963. [9] Carr, SIAM J. Appl. Math. [10] and , Methods of Mathematical Physics, Vol. I, Interscience, New York, 1953. [11] Dafermos, J. Functional Analysis 13 pp 97– (1973) [12] Almost Periodic Differential Equations, Lecture Notes in Mathematics, Vol. 377, Springer, Berlin, 1974. · Zbl 0325.34039 [13] Gaposhkin, Tr. Moskovsk. Inst. Radiotekh. Electron. i Avtomat. 57 pp 39– (1972) [14] Green, Int. J. Solids Structures 4 pp 555– (1968) [15] Opérateurs maximaux monotones et oscillations forcées non linéaires, Thése, Univ. Pierre et Marie Curie, Paris, 1978. [16] and , An Introduction to the Theory of Numbers, Oxford Univ. Press, 1965. [17] Hejhal, Duke Math. J. 43 pp 441– (1976) [18] Completeness and Basic Properties of Sets of Special Functions, Cambridge Univ. Press, 1977. · doi:10.1017/CBO9780511566189 [19] Ingham, Math. Z. 41 pp 367– (1936) [20] Jurdjevic, J. Differential Equations 28 pp 381– (1978) [21] and , The Hopf Bifurcation and its Applications, Springer, New York, 1976. · doi:10.1007/978-1-4612-6374-6 [22] Pazy, J. Functional Analysis 27 pp 292– (1978) [23] Russell, J. Math. Anal. Appl. 18 pp 542– (1967) [24] Slemrod, SIAM J. Control 16 pp 131– (1978) [25] and , Vibration Problems in Engineering, Van Nostrand, New York, 1955. [26] Trigometric Series, Cambridge Univ. Press, 1968. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.