Linear Discrete-Time Systems

Zoran M. Buchevats is a Certified Mechanical Engineer (Dipl. M. Eng.), Master of Mechanical Engineering Sciences (M. M. E. Sc.), and Doctor of Technical Sciences (D. Sc.) (all with the University of Belgrade-UB, Serbia). Dr Buchevats has rich academic work and experience at many Universities in Serbia (Belgrade, Kragujevac, Nis) and in Republic of Srbska (Banja Luka) and international cooperation (USA, Russia). He founded and has led the research Laboratory of Discrete Digital Control Systems within Division for Automatic Control at Faculty of Mechanical Engineering-FME, UB. He published 3 textbooks, 1 laboratory practicum, and 1 handbook (all in Serbian); 2 lecture notes (in English for foreign students); 35 scientific papers in scientific journals and conference proceedings (papers in full); led or took part in 12 projects; carried out 1 visiting presentation by invitation (USA), carried out 1 year visiting scholar (ECED U. of Wisconsin-Madison, USA), and carried out 1 study visit by invitation (Control Institute, Moscow, Russia); holds 1 patent in Serbia and holds 1 international patent application announcement and publishing. In 2013, Dr Buchevats received the annual award for the best invention for the year of 2012 by Belgrade Chamber of Commerce. He was awarded by FME in Kraljevo, UKragujevac with the Plaque (the highest rank award) in recognition and gratitude for the many years of successful cooperation and contribution to the development of the Faculty. Lyubomir T. Gruyitch is Certified Mechanical Engineer (Dipl. M. Eng.), Master of Electrical Engineering Sciences (M. E. E. Sc.), and Doctor of Engineering Sciences (D. Sc.) (all with the University of Belgrade -UB, Serbia). Dr. Gruyitch was a leading contributor to the creation of the research Laboratory of Automatic Control, Mechatronics, Manufacturing Engineering and Systems Engineering of the National School of Engineers (Belfort, France), and a founder of the educational division and research Laboratory of Automatic Control of the Faculty of Mechanical Engineering, UB. He has given invited university seminars in Belgium, Canada, England, France, Russia, Serbia, Tunis, and USA. He has published 9 books (8 in English, 1 in Serb), 4 textbooks (in Serbo-Croatian), 11 lecture notes (7 in French, 2 in English, 2 in Serbo-Croatian), one manual of solved problems, one book translation from Russian, chapters in eight scientific books, 130 scientific papers in scientific journals, 173 conference research papers, and 2 educational papers. France honored him Doctor Honoris Causa (DHC).

Part I: Basic Topics. Introduction. Classes of discrete-time linear systems. System regimes. Transfer function matrix G(z). Part II: Full Transfer Function Matrix F(z) and System Realization. Problem statement. Nondegenerate matrices. Definition of F(z). Determination of F(z). Full block diagram algebra. Physical meaning of F(z). System matrix and equivalence. Realizations of F(z). Part III: Stability Study. Lyapunov stability. Bounded Input stability. Part IV: Conclusion. Motivation for the book. Summary of the contributions. Future teaching and research. Part V: Bibliography. Part VI: Appendices. Appendix A: Notation. Appendix B: Z-transforms and unit impulses.