# Linear, Time-Invariant (LTI) System

This topic includes the following resources and journeys:

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12 items

## ITCRI: An Interactive Software Tool for Control-Relevant Identification

Intermediate
App
Application

The Interactive Tool for Control Relevant Identification (ITCRI) comprehensively captures the control-relevant identification process, from input design to closed-loop control, depicting...

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## ITSIE: An Interactive Software Tool for System Identification Education

Beginner
App
Application

ITSIE is an Interactive Tool for System Identification Education. The tool is developed using Sysquake, a Matlab-like language with fast execution and excellent facilities for interactive...

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## Bandwidth of a Dynamic System

30 min
Beginner
Video
Theory

In this video we discuss the definition and physical meaning of the bandwidth of a dynamic system. We’ll see that this is a performance metric that is used ...

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## Deriving Percent Overshoot, Settling Time, and Other Performance Metrics

59 min
Beginner
Video
Theory

In this video we examine a second order dynamic system and derive how various performance metrics (such as time to first peak, magnitude at first peak, perce...

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## Linear Systems [Control Bootcamp]

24 min
Beginner
Video
Theory

Linear systems of ordinary differential equations are analyzed using eigenvalues and eigenvectors. This will be the mathematical foundation of this bootcamp on linear control theory.

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## Relationship Between Poles and Performance of a Dynamic System

43 min
Beginner
Video
Theory

In this video we establish the relationship between pole locations and associated performance of a dynamic system. This relationship is useful to translate ...

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## Control Systems Lectures - Time and Frequency Domain

10 min
Beginner
Video
Theory

This lecture introduces the time and frequency domains. A very quick description of the Laplace Transform is given which will be the base of many of classical control lectures in the future...

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## Time Domain Analysis: Performance Metrics for a First Order System

78 min
Beginner
Video
Theory

In this video we introduce the concept of time domain analysis for dynamic systems. We examine a first order dynamic system and derive how various performan...

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## Control Systems Lectures - LTI Systems

7 min
Beginner
Video
Theory

This lecture describes what it means when we say a system is linear and time invariant. I also try to give an example as to why these systems are so important when designing control systems...

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## Time Domain Analysis with Matlab: Using the Linear System Analyzer

37 min
Beginner
Video
Theory

In this video we explore various Matlab functions and workflows to perform time domain analysis of a dynamic system. This includes the use of ‘tf’, ‘step’, ...

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## Control Bootcamp: Three Equivalent Representations of Linear Systems

12 min
Beginner
Video
Theory

This video explores three equivalent representations of linear systems: State-space ODEs, Frequency domain transfer functions, and Time-domain impulse response convolution.

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## Resonant Frequency of a Dynamic System

29 min
Beginner
Video
Theory

In this video we discuss the resonant frequency of a dynamic system. We show how the resonant frequency, natural frequency, and damped natural frequency are...

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