Reachability and Controllability of LTI Systems

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Page 3 of 4

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

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores multivariable control, optimal laws, and system stability theorems, emphasizing the importance of observability.

Covers the design and implementation of state observers and output-feedback controllers in multivariable control systems.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

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

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

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

Discusses closed-loop eigenvalue selection and disturbance impact in multivariable control systems.