Lectures related to Built-In Self-Test (BIST): Techniques and Implementations

State-Space Representation: Structure Theorem

Covers the structure theorem for state-space representations and companion forms.

State-Space Representation: Controllability and Observability

Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.

Fault Simulation and Testability Analysis

Covers fault simulation, testability analysis, and fault list generation in VLSI systems.

State-Space Representation: Basics & Transformations

Covers the basics of state-space representation and explores transformations to different forms.

Gaussian Lemma III: Irreducibility and Primitive Polynomials

Explains irreducibility in polynomial equations and the properties of primitive polynomials.

Test of VLSI Systems: BIST and Response Compaction

Covers BIST techniques, LFSRs, Response Compaction, MISR, and BILBO in VLSI systems.

Controllability and Observability

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

Observability and Controllability

Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.

Stability: Poles, Zeros, and Control

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.

Controllability and Reachability

Explores reachability and controllability in multivariable control systems, discussing tests, proofs, and their implications.

Multivariable Control: Weight Design and Stability Analysis

Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.

Observer Design

Covers the design of observers in control systems and the computation of state feedback controllers.

Control Theory Fundamentals

Introduces control theory fundamentals, including controllability and invertibility of systems.

Eigenvalue Assignment in Multivariable Control

Explores Eigenvalue Assignment in multivariable control, emphasizing the effects of discretization and the challenges in preserving system structure.

Observability and Duality

Delves into the observability of LTI systems, covering controllability, duality, and observability tests.

Exact and Approximate Sampling in Multivariable Control

Explores exact and approximate sampling in multivariable control systems, discussing stability, eigenvalues, and system properties.

Control Theory Fundamentals

Covers the basic concepts of control theory and the selection of optimal controls.

Polynomial Factorization and Decomposition

Covers polynomial factorization, irreducible polynomials, ideal decomposition, and the theorem of Bézout.

Control and Field Level Devices

Covers the fundamentals of control and field level devices in industrial automation, including PLCs, programming, different types of controllers, and advanced control strategies.

Polynomial Factorization over a Field: Eigenvalues

Explores polynomial factorization over a field, emphasizing eigenvalues and irreducible components.