Linear Systems Control: Fundamentals and Applications

Related lectures (30)

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Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.

Explores Nonlinear Model Predictive Control, covering stability, optimality, pitfalls, and examples.

Explores Infinite-Horizon Linear Quadratic (LQ) optimal control, emphasizing solution methods and practical examples.

Explores Linear Quadratic optimal control theory, covering FH-LQ and IH-LQ problems and the importance of observability in control systems.

Explores the power of linear systems in control theory and data science.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Covers the determination of matrices associated with linear transformations and explores the kernel and image concepts.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.