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Title: Introduction to Linear Dynamical Systems
Url: https://academicearth.org/mathematics/
Creator: Boyd, Stephen
Publisher: Academic Earth
Stanford University
Description: Introduction to applied linear algebra and linear dynamical systems, with applications to circuits, signal processing, communications, and control systems.


Topics include: Least-squares approximations of over-determined equations and least-norm solutions of underdetermined equations. Symmetric matrices, matrix norm and singular value decomposition. Eigenvalues, left and right eigenvectors, and dynamical interpretation. Matrix exponential, stability, and asymptotic behavior. Multi-input multi-output systems, impulse and step matrices; convolution and transfer matrix descriptions. Control, reachability, state transfer, and least-norm inputs. Observability and least-squares state estimation.


Prerequisites: Exposure to linear algebra and matrices. You should have seen the following topics: matrices and vectors, (introductory) linear algebra; differential equations, Laplace transform, transfer functions. Exposure to topics such as control systems, circuits, signals and systems, or dynamics is not required, but can increase your appreciation.
LC Classification: Science -- Mathematics -- Study and teaching. Research -- Special teaching methods and aids -- Audiovisual aids
Technology -- Electrical engineering. Electronics. Nuclear engineering -- Electrical engineering. Electronics. Nuclear engineering -- Electronics -- Microelectronics. Integrated circuits
Technology -- Electrical engineering. Electronics. Nuclear engineering -- Electrical engineering. Electronics. Nuclear engineering -- Telecommunication -- Signal processing
GEM Subject: Science -- Engineering
Mathematics -- Informal education
Mathematics -- Applied mathematics
Science -- Instructional issues
Science -- Informal education
Key Concept: Electrical engineering -- Control systems
Electrical engineering -- Circuits
Electrical engineering -- Signal processing
Resource Type: Collection
Reference Material
Instructional Material
Audio/Visual -- Movie/Animation
Instructional Material -- Student Guide
Instructional Material -- Interactive Simulation
Instructional Material -- Instructor Guide/Manual
Format: Document -- HTML
Video -- Quicktime
Audience: Educator
Learner
Professional/Practitioner
Education Level: High School
Higher Education
Higher Education -- Graduate/Professional
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)
Vocational/Professional Development Education
Language: English
Rights: Academic Earth
Access Rights: Free access
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Source: Scout Staff
Full Record Views: 62
Resource URL Clicks: 35
Cumulative Rating: NOT YET RATED
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