Singular Switched Systems in Discrete Time: Solvability, Observability, and Reachability Notions

Abstract

invaluable assistance and encouragement from numerous individuals. Therefore, I would like to seize this chance to convey my heartfelt thanks, deep appreciation, and sincere gratitude to everyone who has inspired, supported, and assisted me throughout this endeavor.First, I would like to express my gratitude to my first supervisor Prof. Stephan Trenn. I thank him for his endless support, supervision, and guidance during my studies and for his patience in helping me to perfect my mathematical thinking skills. His feedback played a crucial role in enhancing and honing my research, and the findings presented in my thesis would have been unattainable without his guidance, direction, and supervision.Second, I would like to thank Prof. Bayu Jayawardhana, my second supervisor, for guiding me at various moments in these last four years. I also would like to thank him for inspiring me and enlightening my knowledge about nonlinear system analysis. The input he provided was instrumental in refining and improving my research, especially for those that are related to nonlinear parts, and the discoveries presented in my thesis would have been beyond reach without his advice and guidance.I would also like to express my gratitude to Prof. Do Duc Thuan, Prof. Nima Monshizadeh Naini, and Prof. Zhendong Sun for assessing my thesis and for providing me with valuable comments and suggestions to improve my thesis. Their feedback was of immense value in enhancing my thesis.Next, I would like to thank my colleagues in the SCO (formerly SCAA) research group, (current and former) professors, Postdocs, Guests, and PhD students: