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Lecture
Discrete-time Systems and Lyapunov Theory
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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: Protocol-induced Delays and Time-varying Sampling
Explores protocol-induced delays, time-varying sampling, wireless control networks, and system stability.
Discrete Systems Analysis: Z-Transform and System Properties
Explores Z-transform, system properties, and analysis of discrete systems, focusing on stability and transfer functions.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
LTI Systems: Analysis and Properties
Covers the analysis and properties of Linear Time-Invariant (LTI) systems.
Linear Time Invariant Systems: Impulse Response and Convolution
Covers linear time invariant systems, focusing on impulse response and convolution.
Lyapunov Stability in Dynamical Systems
Covers Lyapunov stability in dynamical systems, focusing on global asymptotic stability and practical implementation through semidefinite programming.
Discrete-Time Systems Analysis
Explores Z-transform analysis for discrete-time systems and transfer functions in control systems.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
