Lecture
Control Theory Fundamentals
Related lectures (42)
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Diffusion-Convection: Modeling and Schemes
Covers modeling and numerical schemes for diffusion-convection problems.
State-Space Representation: Basics & Transformations
Covers the basics of state-space representation and explores transformations to different forms.
Controllability and Observability
Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.
Structure of Algebras
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.