Finite/fixed-time Stabilization of Linear Systems with States Quantization

Andrey Polyakov; Gang Zheng; Yu Zhou

REVIEW

Finite/fixed-time Stabilization of Linear Systems with States Quantization

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2309.01412 v2 pith:5IM523JC submitted 2023-09-04 math.OC cs.SYeess.SY

Finite/fixed-time Stabilization of Linear Systems with States Quantization

Yu Zhou , Andrey Polyakov , Gang Zheng This is my paper

classification math.OC cs.SYeess.SY

keywords finitefixed-timequantizationstabilizationsystemlinearquantizedstates

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

This paper develops a homogeneity-based approach to finite/fixed-time stabilization of linear time-invariant (LTI) system with quantized measurements. A sufficient condition for finite/fixed-time stabilization of multi-input LTI system under states quantization is derived. It is shown that a homogeneous quantized state feedback with logarithmic quantizer can guarantee finite/fixed-time stability of the closed-loop system provided that the quantization is sufficiently dense. Theoretical results are supported with numerical simulations.

Finite/fixed-time Stabilization of Linear Systems with States Quantization

discussion (0)