000			03424nam a22005415i 4500
001			978-3-0348-0399-1
003			DE-He213
005			20140220083254.0
007			cr nn 008mamaa
008			120612s2012 sz | s |||| 0|eng d
020			_a9783034803991 _9978-3-0348-0399-1
024	7		_a10.1007/978-3-0348-0399-1 _2doi
050		4	_aQ295
050		4	_aQA402.3-402.37
072		7	_aGPFC _2bicssc
072		7	_aSCI064000 _2bisacsh
072		7	_aTEC004000 _2bisacsh
082	0	4	_a519 _223
100	1		_aJacob, Birgit. _eauthor.
245	1	0	_aLinear Port-Hamiltonian Systems on Infinite-dimensional Spaces _h[electronic resource] / _cby Birgit Jacob, Hans J. Zwart.
264		1	_aBasel : _bSpringer Basel : _bImprint: Birkhäuser, _c2012.
300			_aXII, 217 p. 27 illus., 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aOperator Theory: Advances and Applications ; _v223
505	0		_a1 Introduction -- 2 State Space Representation.-3 Controllability of Finite-Dimensional Systems -- 4 Stabilizability of Finite-Dimensional Systems -- 5 Strongly Continuous Semigroups -- 6 Contraction and Unitary Semigroups -- 7 Homogeneous Port-Hamiltonian Systems -- 8 Stability -- 9 Stability of Port-Hamiltonian Systems -- 10 Inhomogeneous Abstract Differential Equations and Stabilization -- 11 Boundary Control Systems -- 12 Transfer Functions -- 13 Well-posedness -- A Integration and Hardy spaces -- Bibliography -- Index.  .
520			_aThis book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian framework, leading to models described by ordinary or partial differential equations. For the purpose of control and for the interconnection of two or more Hamiltonian systems it is essential to take into account this interaction with the environment. This book is the first textbook on infinite-dimensional port-Hamiltonian systems. An abstract functional analytical approach is combined with the physical approach to Hamiltonian systems. This combined approach leads to easily verifiable conditions for well-posedness and stability. The book is accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Moreover, the theory is illustrated by many worked-out examples.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aOperator theory.
650		0	_aDifferential equations, partial.
650		0	_aSystems theory.
650	1	4	_aMathematics.
650	2	4	_aSystems Theory, Control.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aOperator Theory.
650	2	4	_aPartial Differential Equations.
700	1		_aZwart, Hans J. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034803984
830		0	_aOperator Theory: Advances and Applications ; _v223
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0399-1
912			_aZDB-2-SMA
999			_c101740 _d101740