ECE 595: Advanced Linear Systems |
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Course Description |
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| ECE 595 is an introduction to the state-space representation of linear systems. As such, the classical Laplace transform techniques that you are already familiar will be assumed but not emphasized. Instead, we will perform time-domain analysis of differential equations on linear systems. Thus, this course forms the basis upon which modern electrical engineering is founded. The material in this course serves as the basis for other graduate courses. This is especially true if your program emphasizes controls. Therefore, it is strongly recommended that electrical engineering majors take this course at the beginning of their academic program. Students from other mathematically oriented programs are encouraged to take this course. | ||
Course Topics |
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| Time domain techniques State variable representation of systems Obtaining the state equations Interconnection of systems Matrices, linear spaces and linear systems Matrix algebra and calculus Spanning sets and basis vectors Vector transformations Overdetermined and underdetermined systems Spectral Decomposition of Vector Spaces Eigenvalues and eigenvectors Generalized eigenvectors Jordan normal form Bilinear and quadratic forms Functions of Square Matrices Continuous systems Fundamental transition matrix Modal decomposition Sampling Discrete systems Fundamental transition matrix Modal decomposition Canonical forms Simulation of linear systems Applications using Matlab software Controllability and observability Stability |
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Helpful Downloads |
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| Course Syllabus | WMU Bookstore | |
| Lecture Notes | ||
| Computer Programs | ||
| Sample Tests and Solutions | ||
| Current Tests and Solutions | ||
| Mathematical Tables | ||
| ***Lecture and Assignment Schedule*** | ||