Lectures related to Lyapunov Stability Analysis

Networked Control Systems: Stability Analysis and Estimation

Covers the analysis and estimation of stability in networked control systems, including the impact of sampling intervals and delays.

Networked Control Systems: Dropout and Stability Analysis

Explores the impact of packet dropouts on networked control system stability and analyzes methods to estimate maximal admissible drop rates.

Networked Control Systems

Explores Networked Control Systems, addressing packet dropouts, network delays, stability, and control laws for system boundability.

Networked Control Systems: Stability Analysis and Delay Compensation

Explores stability analysis and delay compensation in networked control systems, emphasizing the importance of compensating for known delays.

System Identification and Stability

Explores system identification, stability criteria, and challenges in stabilizing cameras on moving platforms.

Stability of LTI Systems: Equilibria and Lyapunov Theory

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Model Reference Method: PID Regulator Design

Explores the Model Reference Method for designing PID regulators and cascade controllers for complex systems.

Stability and State Feedback

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Disturbance Rejection with P Controller

Explains disturbance rejection using a P controller and its impact on system stability.

Frequency Methods: Bode Diagram and Nyquist Diagram

Explores frequency methods in control systems through Bode and Nyquist diagrams, emphasizing system stability and analysis techniques.

Passivity and Absolute Stability in Control Systems

Explores passivity, absolute stability, and the circle criterion in control systems, analyzing system behavior and input-output operator modifications.

Stability and Sensitivity in Control Systems

Explores stability, sensitivity, tracking performance, and regulation error in control systems.

Passivity, Stability and Circle Criterion

Explores passivity, stability, and circle criterion in control systems, emphasizing system behavior and design considerations.

Lyapunov Methods: Stability Analysis

Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.

Discrete-Time Systems Analysis

Explores Z-transform analysis for discrete-time systems and transfer functions in control systems.

Stability in Feedback Systems

Explores BIBO stability in feedback systems, covering criteria, Nyquist criterion, and system sampling impact.

Multivariable Control: Weight Design and Stability Analysis

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

Control Systems: Stability and Gain Analysis

Explores the application of final value theorem and static gain in control systems.

Lyapunov Stability in Dynamical Systems

Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.

State-Space Representation: Controllability and Observability

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