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＜電子ブック＞
Applied Theory of Functional Differential Equations / by V. Kolmanovskii, A. Myshkis
(Mathematics and its Applications, Soviet Series ; 85)

版	1st ed. 1992.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XVI, 234 p : online resource
著者標目	*Kolmanovskii, V author Myshkis, A author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:System theory LCSH:Control theory LCSH:Mechanical engineering FREE:Mathematical Modeling and Industrial Mathematics FREE:Systems Theory, Control FREE:Mechanical Engineering
一般注記	1. Models -- 1. Formal prerequisites -- 2. Aftereffect in mechanics -- 3. Hereditary phenomena in physics -- 4. Models with delays in technical problems -- 5. Aftereffect in biology -- 6. Aftereffect in medicine -- 7. Aftereffect in economy and other sciences -- 2. General theory -- 1. Introduction. Method of steps -- 2. Cauchy problem for RDEs -- 3. Cauchy problem for NDEs -- 4. Differential inclusions of retarded type (RDIs) -- 5. General linear equations with aftereffect -- 6. Linear autonomous equations -- 7. Hopf bifurcation -- 8. Stocnastic retarded differential equations (SRDEs) -- 3. Stability of retarded differential equations -- 1. Liapunov’s direct method -- 2. Linear autonomous equations -- 4. Stability of neutral type functional differential equations -- 1. Direct Liapunov’s method -- 2. Stability of linear autonomous equations -- 5. Stability of stochastic functional differential equations -- 1. Statement of the problem -- 2. Liapunov’s direct method -- 3. Boundedness of moments of solutions -- 6. Problems of control for deterministic FDEs -- 1. The dynamic programming method for deterministic equations. Bellman’s equation -- 2. Linear quadratic problems -- 3. Optimal control of bilinear hereditary systems -- 4. Control problems with phase constraint formula -- 5. Necessary optimality conditions -- 7. Optimal control of stochastic delay systems -- 1. Dynamic programming method for controlled stochastic hereditary processes -- 2. The linear quadratic problem -- 3. Approximate optimal control for systems with small parameters -- 4. Another approach to the problem of optimal synthesis control -- 8. State estimates of stochastic systems with delay -- 1. Filtering of Gaussian processes -- 2. Filtering of solutions of Itô equations with delay HTTP:URL=https://doi.org/10.1007/978-94-015-8084-7

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