8 results found in 4 ms.
Page 1 of 1
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course will teach fundamentals of control design and analysis using state-space methods. This includes both the practical and theoretical aspects of the topic. By the end of the course, you should be able to design controllers using state-space methods and evaluate whether these controllers are robust to some types of modeling errors a
Author(s):
Tag(s):
- aeronautics and astronautics
- control design
- control analysis
- state-space methods
- linear systems
- estimation filters
- dynamic output feedback
- full state feedback
- state estimation
- output feedback
- nonlinear analysis
- model uncertainty
- robustness
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course gives a mathematical introduction to neural coding and dynamics. Topics include convolution, correlation, linear systems, game theory, signal detection theory, probability theory, information theory, and reinforcement learning. Applications to neural coding, focusing on the visual system are covered, as well as Hodgkin-Huxley an
Author(s):
Tag(s):
- brain and cognitive sciences
- neural coding
- dynamics
- convolution
- correlation
- linear systems
- fourier analysis
- signal detection theory
- probability theory
- information theory
- neural excitability
- stochastic models
- ion channels
- cable theory
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course focuses on the use of modern computational and mathematical techniques in chemical engineering. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems
Author(s):
Tag(s):
- chemical engineering
- matlab
- modern computational techniques in chemical engineering
- mathematical techniques in chemical engineering
- linear systems
- scientific computing
- solving sets of nonlinear algebraic equations
- solving ordinary differential equations
- solving differential-algebraic (dae) systems
- probability theory
- use of probability theory in physica
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical method
Author(s):
Tag(s):
- chemical engineering
- matlab
- modern computational techniques in chemical engineering
- mathematical techniques in chemical engineering
- linear systems
- scientific computing
- solving sets of nonlinear algebraic equations
- solving ordinary differential equations
- solving differential-algebraic (dae) systems
- probability theory
- use of probability theory in physica
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course is taken mainly by undergraduates, and explores ideas involving signals, systems and probabilistic models in the context of communication, control and signal processing applications. The material expands out from the basics in 6.003 and 6.041. The treatment involves aspects of analysis, synthesis, and optimization. Topics covere
Author(s):
Tag(s):
- electrical engineering and computer science
- input-output
- state-space models
- linear systems
- deterministic and random signals
- time- and transform-domain representations
- sampling
- discrete-time processing
- continuous-time signals
- state feedback
- observers
- probabilistic models
- stochastic processes
- correlation functions
- power spectra
- whitening filters
- detection
- matched filter
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course covers the same material as 18.03 with more emphasis on theory. Topics include first order equations, separation, initial value problems, systems, linear equations, independence of solutions, undetermined coefficients, and singular points and periodic orbits for planar systems.
Author(s):
Tag(s):
- mathematics
- first order equations
- separation
- initial value problems
- systems
- linear equations
- independence of solutions
- undetermined coefficients
- singular points
- periodic orbits for planar systems
- first order ode's
- second order ode's
- fourier series
- laplace transform
- linear systems
- nonlinear systems
- constant coefficients
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
This course offers an advanced introduction to numerical linear algebra. Topics include direct and iterative methods for linear systems, eigenvalue decompositions and QR/SVD factorizations, stability and accuracy of numerical algorithms, the IEEE floating point standard, sparse and structured matrices, preconditioning, linear algebra softwa
Author(s):
Tag(s):
- mathematics
- numerical linear algebra
- linear systems
- eigenvalue decomposition
- qr/svd factorization
- numerical algorithms
- ieee floating point standard
- sparse matrices
- structured matrices
- preconditioning
- linear algebra software
- matlab
More OCW like this |
|
Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
Share in:
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
Author(s):
Tag(s):
- mathematics
- near equivalence
- algebraic equivalence
- numerical equivalence
- birational
- rational
- maps
- surfaces
- ruled surfaces
- rational surfaces
- linear systems
- castelnuovo's criterion
- rationality
- picard
- albanese
- classification
- k3
- elliptic
- kodaira dimension
- bielliptic
8 results found.
Page 1 of 1