Improved Criterion for Robust Stability of Discrete-Time State-Delayed Systems with Quantization/Overflow Nonlinearities

Agarwal, Nipun; Kar, Haranath

doi:10.1007/s00034-019-01097-y

Cited by 13 publications

(4 citation statements)

References 42 publications

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“…The possible extensions of the presented approaches to the problems of stability of the direct-form digital filters with parameter uncertainties (Agarwal and Kar, 2019) and/or state delays (Xia et al, 2019), stabilization of extended dissipativity of a class of stochastic neural networks (Ding et al, 2019), stability analysis of impulsive stochastic delay differential systems (Hu et al, 2019) and output feedback control of stochastic feedforward systems (Zhu and Wang, 2018) demand further investigation.…”

Section: Interfered Direct-form Digital Filtersmentioning

confidence: 99%

New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity

Kumar

Jha

2021

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PurposeThis paper deals with the problem of input/output-to-state stability (IOSS) of direct-form digital filters, which simultaneously contain external disturbances and two's complement nonlinearity. The nonlinearity under consideration is confined to the sector [–1, 1], which contains saturation, zeroing, two's complement and triangular.Design/methodology/approachThe proposed condition is based on IOSS approach, which is capable of providing a framework for checking and analysing the stability of nonlinear system based on input as well as output information.FindingsA linear matrix inequality (LMI)-based new sufficient criterion for the IOSS of the suggested system is obtained. The obtained criterion is capable of detecting the output-to-state stability (OSS) and asymptotic stability of direct-form digital filters with zero external disturbances. In addition, state-norm estimator for the filter under consideration is constructed by adopting an exponential-decay IOSS criterion. Several examples are provided to illustrate the usefulness of the proposed criteria.Originality/valueThe result of the paper is introduced for the first time, and it is suitable for stability analysis of interfered direct-form digital filter with two's complement overflow using IOSS approach.

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Section: Interfered Direct-form Digital Filtersmentioning

confidence: 99%

New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity

Kumar

Jha

2021

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“…During the practical implementation of a digital filter via hardware using the fixed-point arithmetic, the complex operations within the hardware require increasing wordlength to deal with the signals. On the other side, because of the limitation of register length, the quantization and overflow correction mechanisms are commonly required to reduce the wordlength [2]. Therefore, nonlinearities, including magni-tude truncation, roundoff, or value truncation due to quantization and saturation, zeroing, two's complement, or triangular for overflow, are unavoidable [4], [5].…”

Section: Introductionmentioning

confidence: 99%

“…For the discrete-time systems with quantization/overflow nonlinearities and time delays, a delay-independent stability criterion was proposed in [48]. For digital filters with delay and overflow nonlinearity, the exponential stability analysis methods [1] and the robust stability criterion [2] has been proposed, respectively. However, the delays concerned in [1] and [2] are all constant.…”

Section: Introductionmentioning

confidence: 99%

“…For digital filters with delay and overflow nonlinearity, the exponential stability analysis methods [1] and the robust stability criterion [2] has been proposed, respectively. However, the delays concerned in [1] and [2] are all constant. In [49], a delay-dependent criterion was developed by using free-weighting matrix approach for the asymptotic stability of a class of uncertain discrete-time state-delayed systems with the combination of quantization and overflow nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters With Time-Varying Delay and Generalized Overflow Arithmetic

Chen

Zhang

et al. 2022

IEEE Access

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This paper is concerned with the stability analysis of fixed-point state-space digital filters with generalized overflow arithmetic and a time-varying delay. This paper aims to derive a delay and nonlinear function bound dependent asymptotical stability criterion with less conservatism. Firstly, a new Lyapunov functional with several augmented terms, including extra free matrices and overflow nonlinear function, is constructed such that it has a relaxed positive condition. Then, for bounding the summation term arising in the forward difference of Lyapunov functional, a new lemma is developed to introduce the terms for linking the delayed states and the overflow nonlinear function, the Wirtinger-based summation inequality and several zero-value terms are applied to add more cross terms. As a result, a stability criterion with less conservatism is established and its conservatism. Finally, several numerical examples are given to illustrate the advantages of the proposed method.

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Stability Criterion for Implementing Discrete-Time Delayed Systems Subjected to Finite Wordlength Nonlinearities with External Interference

Singh

Gupta

Chaurasia

et al. 2021

Lecture Notes in Electrical Engineering

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Improved Criterion for Robust Stability of Discrete-Time State-Delayed Systems with Quantization/Overflow Nonlinearities

Cited by 13 publications

References 42 publications

New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity

New results for the realization of interfered direct-form digital filters with single two's complement nonlinearity

Improved Delay-Dependent Stability Analysis of Fixed-Point State-Space Digital Filters With Time-Varying Delay and Generalized Overflow Arithmetic

Stability Criterion for Implementing Discrete-Time Delayed Systems Subjected to Finite Wordlength Nonlinearities with External Interference

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