Linear Quadratic Regulator Theory

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Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

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

Introduces multivariable control, covering system theory, linear systems, and time discretization.

Covers the resolution of linear systems using the Gauss method to determine unique, infinite, or no solutions.

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

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Introduces the Jacobi method for solving linear systems and determining convergence.

Explores the properties and convergence of the matrix exponential for linear systems.

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

Covers tips on matrix construction and function manipulation using MATLAB.