Functional analysis and control theory : linear systems

Bibliographic Information

Functional analysis and control theory : linear systems

Stefan Rolewicz

(Mathematics and its applications, East European series)

D. Reidel , PWN-Polish Scientific Publishers , Distributors for the U.S.A. and Canada, Kluwer Academic Publishers, c1987

Other Title

Analiza funkcjonalna i teoria sterowania

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Note

"Chapters I-VII translated by Ewa Bendnarczuk"--T.p. verso

Bibliography: p. 505-512

Includes index

Description and Table of Contents

Description

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Table of Contents

1. Metric spaces.- 2. Linear spaces and normed spaces.- 3. Continuous linear operators in Banach spaces.- 4. Weak topologies.- 5. Optimization and observability of linear systems.- 6. Systems governed by ordinary differential equations.- 7. Systems with distributed parameters.- 8. Differential and integral equations in Banach spaces.- Appendix. Necessary and sufficient condition for weak duality.- Author index.- List of symbols.

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Details

  • NCID
    BA01100762
  • ISBN
    • 9027721866
  • LCCN
    85023246
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    pol
  • Place of Publication
    Dordrecht ; Tokyo,Warszawa,Norwell, MA, U.S.A.
  • Pages/Volumes
    xv, 524 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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