000			04150nam a22003498i 4500
001			CR9781843318118
003			UkCbUP
005			20200124160341.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120305s2011||||enk o ||1 0|eng|d
020			_a9781843318118 (ebook)
020			_z9780857289995 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA404.5 _b.D43 2011
082	0	4	_a515.55 _222
100	1		_aDeba, Anīśa, _eauthor.
245	1	0	_aTriangular orthogonal functions for the analysis of continuous time systems / _cAnish Deb, Gautam Sarkar, Anindita Sengupta.
264		1	_aLondon : _bAnthem Press, _c2011.
300			_a1 online resource (xii, 156 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 02 Oct 2015).
505	0	0	_gCh. 1 _tWalsh, Block Pulse, and Related Orthogonal Functions in Systems and Control -- _g1.1. _tOrthogonal Functions and their Properties -- _g1.2. _tDifferent Types of Nonsinusoidal Orthogonal Functions -- _g1.3. _tWalsh Functions in Systems and Control -- _g1.4. _tBlock Pulse Functions in Systems and Control -- _g1.5. _tConclusion -- _tReferences -- _gch. 2 _tA Newly Proposed Triangular Function Set and Its Properties -- _g2.1. _tWalsh Functions and Related Operational Matrix for Integration -- _g2.2. _tBPFs and Related Operational Matrices -- _g2.3. _tSample-and-Hold Functions [9] -- _g2.4. _tFrom BPF to a Newly Defined Complementary Set of Triangular Functions -- _g2.5. _tPiecewise Linear Approximation of a Square Integrable Function f(t) -- _g2.6. _tOrthogonality of Triangular Basis Functions -- _g2.7. _tA Few Properties of Orthogonal TF -- _g2.8. _tFunction Approximation via Optimal Triangular Function Coefficients -- _g2.9. _tConclusion -- _tReferences -- _gch. 3 _tFunction Approximation via Triangular Function Sets and Operational Matrices in Triangular Function Domain -- _g3.1. _tApproximation of a Square Integrable Time Function f(t) by BPF and TF -- _g3.2. _tOperational Matrices for Integration in Triangular Function Domain -- _g3.3. _tError Analysis -- _g3.4. _tComparison of Error for Optimal and Nonoptimal Representation via Block Pulse as well as Triangular Functions -- _g3.5. _tConclusion -- _tReferences -- _gch. 4 _tAnalysis of Dynamic Systems via State Space Approach -- _g4.1. _tAnalysis of Dynamic Systems via Triangular Functions -- _g4.2. _tNumerical Experiment [2] -- _g4.3. _tConclusion -- _tReferences -- _gch. 5 _tConvolution Process in Triangular Function Domain and Its Use in SISO Control System Analysis -- _g5.1. _tConvolution Integral -- _g5.2. _tConvolution in Triangular Function Domain [3] -- _g5.3. _tConvolution of Two Time Functions in TF Domain -- _g5.4. _tNumerical Experiment -- _g5.5. _tIntegral Squared Error (ISE) in TF Domain and Its Comparison with BPF Domain Solution -- _g5.6. _tConclusion -- _tReferences -- _gch. 6 _tIdentification of SISO Control Systems via State Space Approach -- _g6.1. _tSystem Identification via State Space Approach -- _g6.2. _tNumerical Example [6] -- _g6.3. _tConclusion -- _tReferences -- _gch. 7 _tSolution of Integral Equations via Triangular Functions -- _g7.1. _tSolution of Integral Equations via Triangular Functions -- _g7.2. _tConclusion -- _tReferences -- _gch. 8 _tMicroprocessor Based Simulation of Control Systems Using Orthogonal Functions -- _g8.1. _tReview of Delta Function and Sample-and-Hold Function Operational Technique -- _g8.2. _tMicroprocessor Based Simulation of Linear Single-Input Single-Output (SISO) Sampled-Data Systems [7] -- _g8.3. _tConclusion -- _tReferences.
520			_aThis book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family.
650		0	_aFunctions, Orthogonal.
700	1		_aSarkar, Gautam Prasad, _eauthor.
700	1		_aSengupta, Anindita, _eauthor.
776	0	8	_iPrint version: _z9780857289995
856	4	0	_uhttp://www.cambridge.org/core/product/identifier/9781843318118/type/BOOK
999			_c523448 _d523446