Stability of Uncertain 2-D Discrete Systems in Presence of Generalized Overflow Nonlinearities
Suchitra Pandeya1, Siva Kumar Tadepalli2, V. Krishna Rao Kandanvli3, Abhilav Vishwakarma4
1Suchitra Pandeya, Department of Electronics & Telecommunication Engineering, Bhilai Institute of Technology, Durg (Chhattisgarh), India.
2Siva Kumar Tadepalli, Department of Electronics Engineering, National Institute of Technology, (Uttarakhand), India.
3V. Krishna Rao Kandanvli, Department of Electronics & Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad (U.P), India.
4Abhilav Vishwakarma, Department of Electronics & Telecommunication Engineering, Bhilai Institute of Technology, Durg (Chhattisgarh), India.
Manuscript received on 28 September 2019 | Revised Manuscript received on 10 November 2019 | Manuscript Published on 22 November 2019 | PP: 725-732 | Volume-8 Issue-6S3 September 2019 | Retrieval Number: F11340986S319/19©BEIESP | DOI: 10.35940/ijeat.F1134.0986S319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Stability analysis of two-dimensional (2-D) discontinuous systems with generalized overflow nonlinear effects is considered in this work. The 2-D models considered are the well-known Fornasini Marchesini Second Local State-Space (FMSLSS) model and the Roesser model. The effect of uncertainties and interim-like variable time-delays on the system is also examined in the study. Using reciprocally convex approach we provide stability criteria which is organized as matrix inequalities. Numerical illustrations are given to demonstrate the applicability of the results.
Keywords: Delay-Dependent Stability Criterion, Finite Wordlength Effect, Lyapunov Stability, Delayed System, Uncertain System.
Scope of the Article: Discrete Optimization