Engineering and Scientific Computing with Scilab

I The Scilab Package.- 1 Introduction.- 1.1 What Is Scilab?.- 1.2 Getting Started.- 2 The Scilab Language.- 2.1 Constants.- 2.1.1 Real Numbers.- 2.1.2 Complex Numbers.- 2.1.3 Character Strings.- 2.1.4 Special Constants.- 2.2 Data Types.- 2.2.1 Matrices of Numbers.- 2.2.2 Sparse Matrices of Numbers.- 2.2.3 Matrices of Polynomials.- 2.2.4 Boolean Matrices.- 2.2.5 Sparse Boolean Matrices.- 2.2.6 String Matrices.- 2.2.7 Lists.- 2.2.8 Typed Lists.- 2.2.9 Functions of Rational Matrices.- 2.2.10 Functions and Libraries.- 2.3 Scilab Syntax.- 2.3.1 Variables.- 2.3.2 Assignments.- 2.3.3 Expressions.- 2.3.4 The list and tlist Operations.- 2.3.5 Flow Control.- 2.3.6 Functions and Scripts.- 2.3.7 Commands.- 2.4 Data-Type-Related Functions.- 2.4.1 Type Conversion Functions.- 2.4.2 Type Enquiry Functions.- 2.5 Overloading.- 2.5.1 Operator Overloading.- 2.5.2 Primitive Functions.- 2.5.3 How to Customize the Display of Variables.- 3 Graphics.- 3.1 The Media.- 3.1.1 The Graphics Window.- 3.1.2 The Driver.- 3.1.3 Global Handling Commands.- 3.2 Global Plot Parameters.- 3.2.1 Graphical Context.- 3.2.2 Indirect Manipulation of the Graphics Context.- 3.3 2-D Plotting.- 3.3.1 Basic Syntax for 2-D Plots.- 3.3.2 Specialized 2-D Plotting Functions.- 3.3.3 Captions and Presentation.- 3.3.4 Plotting Geometric Figures.- 3.3.5 Some Graphics Functions for Automatic Control.- 3.3.6 Interactive Graphics Utilities.- 3.4 3-D Plotting.- 3.4.1 3-D Plotting.- 3.4.2 Specialized 3-D Plots and Tools.- 3.4.3 Mixing 2-D and 3-D Graphics.- 3.5 Examples.- 3.5.1 Subwindows.- 3.5.2 A Set of Figures.- 3.6 Printing Graphics and Exporting to LATEX.- 3.6.1 Window to Printer.- 3.6.2 Creating a Postscript File.- 3.6.3 Including a Postscript File in LATEX.- 3.6.4 Scilab, Xfig, and Postscript.- 3.6.5 Creating Encapsulated Postscript Files.- 4 A Tour of Some Basic Functions.- 4.1 Linear Algebra.- 4.1.1 QR Factorization.- 4.1.2 Singular Value Decomposition.- 4.1.3 Schur Form and Eigenvalues.- 4.1.4 Block Diagonalization and Eigenvectors.- 4.1.5 Fine Structure.- 4.1.6 Subspaces.- 4.2 Polynomial and Rational Function Manipulation.- 4.2.1 General Purpose Functions.- 4.2.2 Matrix Pencils.- 4.3 Sparse Matrices.- 4.4 Random Numbers.- 4.5 Cumulative Distribution Functions and Their Inverses.- 5 Advanced Programming.- 5.1 Functions and Primitives.- 5.2 The Call Function.- 5.3 Building Interface Programs.- 5.4 Accessing "Global" Variables Within a Wrapper.- 5.4.1 Stack Handling Functions.- 5.4.2 Functional Arguments.- 5.5 Intersci.- 5.5.1 A First Intersci Example.- 5.5.2 Intersci Descriptor File Syntax.- 5.6 Dynamic Linking.- 5.7 Static Linking.- 5.7.1 Static Linking of an Interface.- 5.7.2 Functional Argument: Static Linking.- II Tools.- 6 Systems and Control Toolbox.- 6.1 Linear Systems.- 6.1.1 State-Space Representation.- 6.1.2 Transfer-Matrix Representation.- 6.2 System Definition.- 6.2.1 Interconnected Systems.- 6.2.2 Linear Fractional Transformation (LFT).- 6.2.3 Time Discretization.- 6.3 Improper Systems.- 6.3.1 Scilab Representation.- 6.3.2 Scilab Implementation.- 6.4 System Operations.- 6.4.1 Pole-Zero Calculations.- 6.4.2 Controllability and Pole Placement.- 6.4.3 Observability and Observers.- 6.5 Control Tools.- 6.6 Classical Control.- 6.6.1 Frequency Response Plots.- 6.7 State-Space Control.- 6.7.1 Augmenting the Plant.- 6.7.2 Standard Problem.- 6.7.3 LQG Design.- 6.7.4 Scilab Tools for Controller Design.- 6.8 H? Control.- 6.9 Model Reduction.- 6.10 Identification.- 6.11 Linear Matrix Inequalities.- 7 Signal Processing.- 7.1 Time and Frequency Representation of Signals.- 7.1.1 Resampling Signals.- 7.1.2 The DFT and the FFT.- 7.1.3 Transfer Function Representation of Signals.- 7.1.4 State-Space Representation.- 7.1.5 Changing System Representation.- 7.1.6 Frequency-Response Evaluation.- 7.1.7 The Chirp z-Transform.- 7.2 Filtering and Filter Design.- 7.2.1 Filtering.- 7.2.2 Finite Impulse Response Filter Design.- 7.2.3 Infinite Impulse Response Filter Design.- 7.3 Spectral Estim