Optimal Control: Linear Quadratic Regulation

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Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

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

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Explores passivity in linear systems, discussing conditions for stability and system behavior.

Covers linear time invariant systems, focusing on impulse response and convolution.

Explores linear systems in sinusoidal regime, discussing frequency response, transfer functions, stability, quadripoles, and Bode diagrams.

Explores linear systems, Cholesky factorization, LU factorization, and matrix precision.

Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.