ISS criterion for Lipschitz nonlinear interfered fixed-point digital filters with saturation overflow arithmetic

DOI10.1007/s00034-021-01823-5zbMath1509.94026OpenAlexW3199481221WikidataQ114829160 ScholiaQ114829160MaRDI QIDQ6042578

Haranath Kar, Janmejaya Rout

Publication date: 11 May 2023

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-021-01823-5

zbMATH Keywords

input-to-state stabilitydigital filtersaturation nonlinearityexternal interferenceinherent system nonlinearity

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

Cites Work

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• Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
• New results on saturation overflow stability of 2-D state-space digital filters
• A compendium of comparison function results
• Asymptotic stability of fixed-point state-space digital filters with saturation arithmetic and external disturbance: an IOSS approach
• Certainty equivalence implies detectability
• On observer-based control of one-sided Lipschitz systems
• Interval type-2 fuzzy passive filtering for nonlinear singularly perturbed PDT-switched systems and its application
• New criteria of input-to-state stability for nonlinear switched stochastic delayed systems with asynchronous switching
• \(\ell_2 -\ell_\infty\) suppression of limit cycles in interfered digital filters with generalized overflow nonlinearities
• A new realizability condition for fixed-point state-space interfered digital filters using any combination of overflow and quantization nonlinearities
• Two-Dimensional Dissipative Control and Filtering for Roesser Model
• Equivalent Characterizations of Input-to-State Stability for Stochastic Discrete-Time Systems
• Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
• The zero-input response of digital filters using saturation arithmetic
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
• Linear Matrix Inequalities in System and Control Theory
• The digital TV filter and nonlinear denoising
• Nonlinear output feedback tracking with almost disturbance decoupling
• Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities
• Smooth stabilization implies coprime factorization
• Stability of Discrete-Time Systems Joined With a Saturation Operator on the State-Space $ $
• A Hybrid Control Approach to $H_{\infty }$ Problem of Nonlinear Descriptor Systems With Actuator Saturation
• Perturbation Analysis for Controllability of Logical Control Networks
• Input-to-state stability for discrete-time nonlinear systems