TY  - BOOK
AU  - Deba,Anīśa
AU  - Sarkar,Gautam Prasad
AU  - Sengupta,Anindita
TI  - Triangular orthogonal functions for the analysis of continuous time systems
SN  - 9781843318118 (ebook)
AV  - QA404.5 .D43 2011
U1  - 515.55 22
PY  - 2011///
CY  - London
PB  - Anthem Press
KW  - Functions, Orthogonal
N1  - Title from publisher's bibliographic system (viewed on 02 Oct 2015); Ch. 1; Walsh, Block Pulse, and Related Orthogonal Functions in Systems and Control --; 1.1; Orthogonal Functions and their Properties --; 1.2; Different Types of Nonsinusoidal Orthogonal Functions --; 1.3; Walsh Functions in Systems and Control --; 1.4; Block Pulse Functions in Systems and Control --; 1.5; Conclusion --; References --; ch. 2; A Newly Proposed Triangular Function Set and Its Properties --; 2.1; Walsh Functions and Related Operational Matrix for Integration --; 2.2; BPFs and Related Operational Matrices --; 2.3; Sample-and-Hold Functions [9] --; 2.4; From BPF to a Newly Defined Complementary Set of Triangular Functions --; 2.5; Piecewise Linear Approximation of a Square Integrable Function f(t) --; 2.6; Orthogonality of Triangular Basis Functions --; 2.7; A Few Properties of Orthogonal TF --; 2.8; Function Approximation via Optimal Triangular Function Coefficients --; 2.9; Conclusion --; References --; ch. 3; Function Approximation via Triangular Function Sets and Operational Matrices in Triangular Function Domain --; 3.1; Approximation of a Square Integrable Time Function f(t) by BPF and TF --; 3.2; Operational Matrices for Integration in Triangular Function Domain --; 3.3; Error Analysis --; 3.4; Comparison of Error for Optimal and Nonoptimal Representation via Block Pulse as well as Triangular Functions --; 3.5; Conclusion --; References --; ch. 4; Analysis of Dynamic Systems via State Space Approach --; 4.1; Analysis of Dynamic Systems via Triangular Functions --; 4.2; Numerical Experiment [2] --; 4.3; Conclusion --; References --; ch. 5; Convolution Process in Triangular Function Domain and Its Use in SISO Control System Analysis --; 5.1; Convolution Integral --; 5.2; Convolution in Triangular Function Domain [3] --; 5.3; Convolution of Two Time Functions in TF Domain --; 5.4; Numerical Experiment --; 5.5; Integral Squared Error (ISE) in TF Domain and Its Comparison with BPF Domain Solution --; 5.6; Conclusion --; References --; ch. 6; Identification of SISO Control Systems via State Space Approach --; 6.1; System Identification via State Space Approach --; 6.2; Numerical Example [6] --; 6.3; Conclusion --; References --; ch. 7; Solution of Integral Equations via Triangular Functions --; 7.1; Solution of Integral Equations via Triangular Functions --; 7.2; Conclusion --; References --; ch. 8; Microprocessor Based Simulation of Control Systems Using Orthogonal Functions --; 8.1; Review of Delta Function and Sample-and-Hold Function Operational Technique --; 8.2; Microprocessor Based Simulation of Linear Single-Input Single-Output (SISO) Sampled-Data Systems [7] --; 8.3; Conclusion --; References
N2  - This 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
UR  - http://www.cambridge.org/core/product/identifier/9781843318118/type/BOOK
ER  -