說明 
1 online resource (xviii, 776 pages) : digital, PDF file(s) 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 

text file PDF rda 
系列 
Encyclopedia of mathematics and its applications ; 103 

Encyclopedia of mathematics and its applications ; 103

附註 
Title from publisher's bibliographic system (viewed on 05 Oct 2015) 

1. Introduction and overview  2. Basic properties of wellposed linear systems  3. Strongly continuous semigroups  4. The generators of a wellposed linear system  5. Compatible and regular systems  6. Anticasual, dual, and inverted systems  7. Feedback  8. Stabilization and detection  9. Realizations  10. Admissibility  11. Passive and conservative scattering systems  12. Discrete time systems  App. 1. Regulated functions  App. 2. The positive square root and the polar decomposition  App. 3. Convolutions  App. 4. Inversion of block matrices 

Many infinitedimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with wellposed infinitedimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of nonwellposed systems induced by system nodes. The author shows how standard finitedimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finitedimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations 
主題 
Linear systems


System theory

