State variable

A state variable is one of the set of variables that are used to describe the mathematical "state" of a dynamical system. ^[1]

Ask AI

Table of Contents

1. 33 relations: Control (optimal control theory), Control engineering, Control theory, Differential equation, Discrete time and continuous time, Dynamical system, Ecosystem model, Electric current, Electrical network, Electronics, Enthalpy, Entropy, Equation of state, Heat, Internal energy, Linear time-invariant system, Matrix (mathematics), Mechanics, Pressure, Process function, State (computer science), State (functional analysis), State diagram, State function, State variable filter, State-space representation, Thermodynamic temperature, Thermodynamics, Variable (mathematics), Velocity, Voltage, Volume, Work (thermodynamics).

2. Classical control theory

Control (optimal control theory)

In optimal control theory, a control is a variable chosen by the controller or agent to manipulate state variables, similar to an actual control valve.

See State variable and Control (optimal control theory)

Control engineering

Control engineering or control systems engineering or Automation engineering (In Some European Countries) is an engineering discipline that deals with control systems, applying control theory to design equipment and systems with desired behaviors in control environments.

See State variable and Control engineering

Control theory

Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems in engineered processes and machines.

See State variable and Control theory

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

See State variable and Differential equation

Discrete time and continuous time

In mathematical dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled.

See State variable and Discrete time and continuous time

Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space, such as in a parametric curve.

See State variable and Dynamical system

Ecosystem model

An ecosystem model is an abstract, usually mathematical, representation of an ecological system (ranging in scale from an individual population, to an ecological community, or even an entire biome), which is studied to better understand the real system.

See State variable and Ecosystem model

Electric current

An electric current is a flow of charged particles, such as electrons or ions, moving through an electrical conductor or space.

See State variable and Electric current

Electrical network

An electrical network is an interconnection of electrical components (e.g., batteries, resistors, inductors, capacitors, switches, transistors) or a model of such an interconnection, consisting of electrical elements (e.g., voltage sources, current sources, resistances, inductances, capacitances).

See State variable and Electrical network

Electronics

Electronics is a scientific and engineering discipline that studies and applies the principles of physics to design, create, and operate devices that manipulate electrons and other electrically charged particles.

See State variable and Electronics

Enthalpy

Enthalpy is the sum of a thermodynamic system's internal energy and the product of its pressure and volume.

See State variable and Enthalpy

Entropy

Entropy is a scientific concept that is most commonly associated with a state of disorder, randomness, or uncertainty.

See State variable and Entropy

Equation of state

In physics and chemistry, an equation of state is a thermodynamic equation relating state variables, which describe the state of matter under a given set of physical conditions, such as pressure, volume, temperature, or internal energy.

See State variable and Equation of state

Heat

In thermodynamics, heat is the thermal energy transferred between systems due to a temperature difference.

See State variable and Heat

Internal energy

The internal energy of a thermodynamic system is the energy contained within it, measured as the quantity of energy necessary to bring the system from its standard internal state to its present internal state of interest, accounting for the gains and losses of energy due to changes in its internal state, including such quantities as magnetization.

See State variable and Internal energy

Linear time-invariant system

In system analysis, among other fields of study, a linear time-invariant (LTI) system is a system that produces an output signal from any input signal subject to the constraints of linearity and time-invariance; these terms are briefly defined in the overview below. State variable and linear time-invariant system are Classical control theory.

See State variable and Linear time-invariant system

Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

See State variable and Matrix (mathematics)

Mechanics

Mechanics (from Ancient Greek: μηχανική, mēkhanikḗ, "of machines") is the area of physics concerned with the relationships between force, matter, and motion among physical objects.

See State variable and Mechanics

Pressure

Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

See State variable and Pressure

Process function

In thermodynamics, a quantity that is well defined so as to describe the path of a process through the equilibrium state space of a thermodynamic system is termed a process function, or, alternatively, a process quantity, or a path function.

See State variable and Process function

State (computer science)

In information technology and computer science, a system is described as stateful if it is designed to remember preceding events or user interactions; the remembered information is called the state of the system.

See State variable and State (computer science)

State (functional analysis)

In functional analysis, a state of an operator system is a positive linear functional of norm 1.

See State variable and State (functional analysis)

State diagram

A state diagram is used in computer science and related fields to describe the behavior of systems.

See State variable and State diagram

State function

In the thermodynamics of equilibrium, a state function, function of state, or point function for a thermodynamic system is a mathematical function relating several state variables or state quantities (that describe equilibrium states of a system) that depend only on the current equilibrium thermodynamic state of the system (e.g.

See State variable and State function

State variable filter

A state variable filter is a type of active filter in electronic circuits.

See State variable and State variable filter

State-space representation

In control engineering and system identification, a state-space representation is a mathematical model of a physical system specified as a set of input, output, and variables related by first-order differential equations or difference equations. State variable and state-space representation are Classical control theory.

See State variable and State-space representation

Thermodynamic temperature

Thermodynamic temperature is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics.

See State variable and Thermodynamic temperature

Thermodynamics

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation.

See State variable and Thermodynamics

Variable (mathematics)

In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object.

See State variable and Variable (mathematics)

Velocity

Velocity is the speed in combination with the direction of motion of an object.

See State variable and Velocity

Voltage

Voltage, also known as (electrical) potential difference, electric pressure, or electric tension is the difference in electric potential between two points.

See State variable and Voltage

Volume

Volume is a measure of regions in three-dimensional space.

See State variable and Volume

Work (thermodynamics)

Thermodynamic work is one of the principal processes by which a thermodynamic system can interact with its surroundings and exchange energy.

See State variable and Work (thermodynamics)

See also

Classical control theory

• Bode plot
• Causal system
• Classical control theory
• Closed-loop pole
• Closed-loop transfer function
• Complex plane
• Controllability
• Gain scheduling
• Integral windup
• Lead–lag compensator
• Lead–lag effect
• Linear time-invariant system
• Nichols plot
• Nyquist stability criterion
• Observability
• Open-loop controller
• Overshoot (signal)
• Phase margin
• Plant (control theory)
• Positive feedback
• Proportional control
• Proportional–integral–derivative controller
• Root locus analysis
• Setpoint (control system)
• Signal-flow graph
• State observer
• State variable
• State-space representation
• State-transition matrix
• Step response
• Strejc method
• System identification

References

[1] https://en.wikipedia.org/wiki/State_variable

Also known as State parameter, State variables.

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

The information is based on Wikipedia articles and other Wikimedia projects, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.

Privacy Policy