Advanced Mathematical Tools for Control Engineers: Volume 1

Alexander Poznyak is Professor and Department Head of Automatic Control at CINESTAV of IPN in Mexico. He graduated from Moscow Physical Technical Institute in 1970, and earned Ph.D. and Doctoral Degrees from the Institute of Control Sciences of Russian Academy of Sciences in 1978 and 1989, respectively. He has directed 43 Ph.D. theses, and published more than 260 papers and 14 books.

• I MATRICES AND RELATED TOPICS1 Determinants2 Matrices and Matrix Operations 3 Eigenvalues and Eigenvectors 4 Matrix Transformations 5 Matrix Functions 6 Moore-Penrose Pseudoinverse 7 Hermitian and Quadratic Forms8 Linear Matrix Equations 9 Stable Matrices and Polynomials 10 Algebraic Riccati Equation 11 Linear Matrix Inequalities 12 MiscellaneousII ANALYSIS 13 The Real and Complex Number Systems14 Sets, Functions and Metric Spaces 15 Integration 16 Selected Topics of Real Analysis17 Complex Analysis 18 Topics of Functional Analysis III DIFFERENTIAL EQUATIONS AND OPTIMIZATION19 Ordinary Differential Equations 20 Elements of Stability Theory 21 Finite-Dimensional Optimization 22 Variational Calculus and Optimal Control 23 H2 and H∞ Optimization 811