Titlebook: Representation and Control of Infinite Dimensional Systems; Alain Bensoussan,Giuseppe Prato,Sanjoy K. Mitter Book 2007Latest edition Birkh

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Representation and Control of Infinite Dimensional Systems

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2324-9749 n the original two volumes.New material has been added to reA new edition in a single volume Over the past decade, more and more sophisticaced mathematical tools and approaches have been incorporated in the ?eld of Control of in?nite dim- sional systems. This was motivated by a whole range of challe

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State Space Theory of Differential Systems With Delaystems. The material presented in this chapter is an outgrowth of the lecture notes in French presented at the INRIA School on Representation and Control of Delay Systems in June 1984 by . [14]. The original material has been restructured, the proofs have been streamlined, and new results have been introduced in §6.

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Control of Linear Differential Systemsoblem for distributed parameter systems and systems with time delay, both over a finite and an infinite time interval. For problems over a finite time interval, the main tool used is ., which leads to a Hamilton-Jacobi equation for the value function. For the class of control problems considered, th

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State Space Theory of Differential Systems With Delaysential systems with delays. This point of view is of paramount importance for the Control Theory, Filtering Theory, and Realization Theory of such systems. The material presented in this chapter is an outgrowth of the lecture notes in French presented at the INRIA School on Representation and Contro

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Bounded Control Operators: Control Inside the Domaint spaces . (.) and . (.), respectively. . is the . and . the . of the system. We shall also consider another Hilbert space ., the space of .. The inner product and norm in ., ., and . will be denoted by (·, ·) and | · |. Whenever confusion is possible a subscript ., . or . will be added.