Explore: Discrete Time Systems

dynamics, discrete time and continuous time are two alternative frameworks within which variables that evolve over time are modeled. Discrete time views values

computer science, a discrete system is a system with a countable number of states. Discrete systems may be contrasted with continuous systems, which may also

In the case of generic discrete-time (i.e., sampled) systems, linear shift-invariant is the corresponding term. LTI system theory is an area of applied

domain, which can represent either a continuous-time or a discrete-time system: Continuous-time systems use the Laplace transform and are plotted in the

state of a discrete-time system (i.e. digital system) is x [ n ] {\displaystyle x[n]} , where n is the discrete point in time at which the system is being

In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features

controllable” presented in section Controllability in LTI Systems. For discrete time systems as x [ k + 1 ] = A x [ k ] + B u [ k ] y [ k ] = C x [ k ]

take up much less silicon area. This same circuit can be used in discrete time systems (such as ADCs) as a sample and hold circuit. During the appropriate

is observable" presented in section Observability in LTI Systems. For discrete time systems as x [ k + 1 ] = A x [ k ] + B u [ k ] y [ k ] = C x [ k ]

latter condition has been generalized to switched systems: a linear switched discrete time system (ruled by a set of matrices { A 1 , … , A m } {\displaystyle