Applied Math and Science Education Repository - Introduction to Linear Dynamical Systems

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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:

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