Introduction to Nonlinear Systems Control

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Related lectures (38)

State-space Modeling Log in to Mediaspace to watch this video

Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.

Dynamical Systems for Engineers Log in to Mediaspace to watch this video

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Linear Applications: Matrices and Transformations Log in to Mediaspace to watch this video

Covers linear applications, matrices, transformations, and the principle of superposition.

Orthogonality and Projection Log in to Mediaspace to watch this video

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Linear Equations: Vectors and Matrices Log in to Mediaspace to watch this video

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Linear Algebra Fundamentals Log in to Mediaspace to watch this video

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Linear Equations: Introduction and Solutions Log in to Mediaspace to watch this video

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Linear Transformations: Polynomials and Bases Log in to Mediaspace to watch this video

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Linear Dependence Theorems and Proofs Log in to Mediaspace to watch this video

Explores linear dependence theorems and proofs, emphasizing the importance of understanding linear dependence in linear algebra.

Vector Spaces: Properties and Operations Log in to Mediaspace to watch this video

Explores vector space properties, operations, linear combinations, and subspaces construction.

Gram-Schmidt Algorithm: Orthogonalization and QR Factorization Log in to Mediaspace to watch this video

Introduces the Gram-Schmidt algorithm, QR factorization, and the method of least squares.

Linear Algebra: Matrices Operations Log in to Mediaspace to watch this video

Covers fundamental matrix operations and their applications in solving linear equations.

Diagonalizability of Linear Transformations Log in to Mediaspace to watch this video

Explores the conditions and implications of diagonalizability of linear transformations, including eigenvectors, eigenvalues, and distinct matrices.

Orthogonal Matrices and Least Squares Method Log in to Mediaspace to watch this video

Introduces orthogonal matrices, the least squares method, and their practical applications in linear algebra.

Surfaces in R^3: Curves and Regular Surfaces Log in to Mediaspace to watch this video

Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.

Matrix Equations: Solutions and Properties Log in to Mediaspace to watch this video

Explores matrix equations, solution existence, unique solutions, and system solution sets.

Embeddability Theorem Log in to Mediaspace to watch this video

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Elliptic Equations: Linear and Order Log in to Mediaspace to watch this video

Covers general elliptic equations, including Dirichlet problems and boundary conditions.

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