Time-invariant system — A time invariant system is one whose output does not depend explicitly on time.:If the input signal x produces an output y then any time shifted input, t mapsto x(t + delta), results in a time shifted output t mapsto y(t + delta).Formal: If S is… … Wikipedia
Shift space — In symbolic dynamics and related branches of mathematics, a shift space or subshift is a set of infinite words representing the evolution of a discrete system. In fact, shift spaces and symbolic dynamical systems are often considered synonyms.… … Wikipedia
LTI system theory — or linear time invariant system theory is a theory in the field of electrical engineering, specifically in circuits, signal processing, and control theory, that investigates the response of a linear, time invariant system to an arbitrary input… … Wikipedia
Adiabatic invariant — An adiabatic invariant is a property of a physical system which stays constant when changes are made slowly.In thermodynamics, an adiabatic process is a change that occurs without heat flow and slowly compared to the time to reach equilibrium. In … Wikipedia
Transfer function — A transfer function (also known as the system function[1] or network function) is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time invariant system. With… … Wikipedia
Maximum length sequence — A maximum length sequence (MLS) is a type of pseudorandom binary sequence. They are bit sequences generated using maximal linear feedback shift registers and are so called because they are periodic and reproduce every binary sequence that can be… … Wikipedia
Subshift of finite type — In mathematics, subshifts of finite type are used to model dynamical systems, and in particular are the objects of study in symbolic dynamics and ergodic theory. They also describe the set of all possible sequences executed by a finite state… … Wikipedia
Conservation of energy — This article is about the law of conservation of GPE in physics. For sustainable energy resources, see Energy conservation. Prof. Walter Lewin demonstrates the conservation of mechanical energy, touching a wrecking ball with his jaw. (MIT Course… … Wikipedia
Controllability — is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control. Controllability and observability are dual… … Wikipedia
Bilinear transform — The bilinear transform (also known as Tustin s method) is used in digital signal processing and discrete time control theory to transform continuous time system representations to discrete time and vice versa. The bilinear transform is a… … Wikipedia