State-Space Representation: Basics & Transformations

This lecture introduces the state-space representation of systems, focusing on the basics of state variables and their importance in system analysis. The instructor covers methods for transforming a system from transfer function to state-space representation, showcasing different forms such as modal, controllable canonical, and observable canonical representations. The lecture also delves into similar transformations, highlighting the concept of multiple representations for a system and the role of non-singular transformations in generating new state-space models. The importance of controllability and observability in system analysis is briefly mentioned, setting the stage for further exploration in the next lecture.