Physics

Operator (biology)

Pure mathematics

Dimension (graph theory)

Mathematics

Compact operator

Transcription factor

Invariant extended Kalman filter

Gene

Algorithm

Statistics

Filter (signal processing)

Delta operator

Fast Kalman filter

Artificial intelligence

Kalman filter

Repressor

Extended Kalman filter

Covariance

Computational complexity theory

Covariance matrix

Chemistry

Programming language

Extension (predicate logic)

State vector

Computer science

Computation

Ensemble Kalman filter

Computer vision

State (computer science)

Biochemistry

Shift operator

Classical mechanics

Covariance intersection

International Journal of Adaptive Control and Signal Processing

Summary The Kalman filter is not suitable for the state estimation of linear systems with multistate delays, and the extended state vector Kalman filtering algorithm results in heavy computational burden because of the large dimension of the state estimation covariance matrix. Thus, in this paper, we develop a novel state estimation algorithm for enhancing the computational efficiency based on the delta operator. The computation analysis and the simulation example show the performance of the proposed algorithm.

Highly computationally efficient state filter based on the delta operator