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Encoder/decoder mismatch for input quantisation with discrete time [K,KL] sector.

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Title: Encoder/decoder mismatch for input quantisation with discrete time [K,KL] sector.
Authors: Singh, Sonali1 (AUTHOR), Sachan, Ankit2 (AUTHOR) ankits.rs.eee15@itbhu.ac.in, Goyal, Jitendra Kumar3 (AUTHOR), Purwar, Shubhi1 (AUTHOR), Xiong, Xiaogang4 (AUTHOR)
Source: International Journal of Systems Science. Oct2025, Vol. 56 Issue 14, p3289-3302. 14p.
Subject Terms: LYAPUNOV functions, SIGNAL quantization, DISCRETE-time systems, DYNAMIC stability, NONLINEAR control theory
Reviews & Products: MATLAB (Computer software)
Abstract: This study concerns with hands-off control for the discrete-time nonlinear system related to the encoder/decoder mismatched input channel. For this, a Lyapunov function is constructed for a discrete-time nonlinear system with equilibrium point at origin by solving a convex semi-infinite algorithm for a computationally feasible problem. Next, a discrete-time $ \mathcal {[K,KL]} $ [ K , KL ] sector is designed by means of Matrosov's results which satisfy $ \mathcal {KL} $ KL -stability inside it. The quantisation parameters exhibit a time-varying ratio due to non-synchronous adjustment that causes quantisation discrepancy issue attenuated by an On-Off logic-based control and the Lyapunov stability is analysed. The proposed approach is illustrated by Matlab simulation of a nonlinear circuit. [ABSTRACT FROM AUTHOR]
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Database: Business Source Index
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Abstract:This study concerns with hands-off control for the discrete-time nonlinear system related to the encoder/decoder mismatched input channel. For this, a Lyapunov function is constructed for a discrete-time nonlinear system with equilibrium point at origin by solving a convex semi-infinite algorithm for a computationally feasible problem. Next, a discrete-time $ \mathcal {[K,KL]} $ [ K , KL ] sector is designed by means of Matrosov's results which satisfy $ \mathcal {KL} $ KL -stability inside it. The quantisation parameters exhibit a time-varying ratio due to non-synchronous adjustment that causes quantisation discrepancy issue attenuated by an On-Off logic-based control and the Lyapunov stability is analysed. The proposed approach is illustrated by Matlab simulation of a nonlinear circuit. [ABSTRACT FROM AUTHOR]
ISSN:00207721
DOI:10.1080/00207721.2025.2467839