Resumen
The methods of investigating the optimal stabilization problems occupied an important place in the optimal control theory, The fundamentals of the methods for the finite-dimensional systems have been described by N.N.Krasovsky in the supplement to the monograph [1]. Some particular results for the distributed parameter systems have been obtained in [2,3]. They can be generalized and concretized with the help of Bellmans equations with the functional derivatives and on the basis of the functional derivatives the second Ljapunovś method can be employed.
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References
Malkin I. Theory of Motion Stability. “Nauka” Press 1966.
Sirazetdinov T. Stability of The Distributed Parameter Systems. Kazan Aircraft Institute Press, 1970.
Zubov V. Motion Stability. “Visshaya Shkola” Press, 1973.
Plotnikov V. Energetic Inequality and Property of Super-definiteness of System of Eigenvalue Functions, “Izvestia AS USSR, S, Math., V32, issue 4, 1968, pp 743–755.
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© 1975 Springer-Verlag Berlin Heidelberg
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Egorov, A.I. (1975). Optimal Stabilization of the Distributed Parameter Systems. In: Marchuk, G.I. (eds) Optimization Techniques IFIP Technical Conference. Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-38527-2_22
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DOI: https://doi.org/10.1007/978-3-662-38527-2_22
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