Discrete-time Systems and Lyapunov Theory

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Covers the analysis of LTI systems using impulse response and convolution.

Explores linear systems' equilibria, stability, and modes, including Lyapunov stability and exponential stability.

Explores the properties of Linear Time-Invariant systems through impulse response and convolution sum.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.

Introduces the basics of multivariable control, focusing on system theory and linear systems.

Explores Lyapunov stability and Chebyshev inequalities in system analysis and control design.

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