LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models

Bolajraf, M.

doi:10.1007/s12555-017-0464-9

Cited by 4 publications

(2 citation statements)

References 20 publications

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“…The cases discussed above explain that all boundary conditions taken outside the region (26) will converge to the convex region by virtue of asymptotic convergence, and when boundary conditions are taken within the region (27), states will remain bounded to that region. Thus, uniformly ultimately bounded stability is guaranteed for system (3).…”

Section: Denotes the I Th Row Of G And The Term 𝜂(K L) Carries The In...mentioning

confidence: 99%

“…Closed‐loop stability is addressed by using extended Lyapunov conditions for Takagi–Sugeno fuzzy systems in [26]. Stability and stabilization schemes using linear programming approach are explored in [27] for state‐delayed 2D Roesser systems. However, the work of overflow stability investigation for 2D Roesser systems is lacking in the exiting works, and the traditional stability concepts in the above‐mentioned works may not be fully applicable for the overflow oscillations removal.…”

Section: Introductionmentioning

confidence: 99%

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Overflow oscillations‐free realization of discrete‐time 2D Roesser models under quantization and overflow constraints

Malik

Tufail

Rehan

et al. 2021

Asian Journal of Control

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This brief proposes novel linear matrix inequalities-based criteria to investigate the asymptotic convergence of states to an overflow oscillations-free ellipsoidal region for a two-dimensional Roesser digital model subjected to quantization and overflow effects of a digital hardware. Existence of a novel region for two-dimensional Rosser systems is shown in the present study, in which overflow oscillations can be completely removed for realization of a system. New realization conditions for Roesser systems in the absence and presence of external interference along with stability and overflow-free regional behavior are investigated by application of regional analysis, convex routines, and Lyapunov redesign. In contrast to existing literature that primarily focus on a specific type of quantitation and global asymptotic stability, the conditions in the presented work are derived by considering the generalized quantization arithmetic and for guaranteeing convergence of states in a convex oscillations-free region (in the steady-state) in both the absence and presence of bounded interference. The localized stable regions can be directly associated with the word-length employed to realize the two-dimensional systems on a digital hardware. Simulation results are also furnished to validate the efficacy of the proposed approach.

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Section: Denotes the I Th Row Of G And The Term 𝜂(K L) Carries The In...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Overflow oscillations‐free realization of discrete‐time 2D Roesser models under quantization and overflow constraints

Malik

Tufail

Rehan

et al. 2021

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

Optimal Guaranteed Cost Control of an Uncertain and Shift-Delayed 2-D Discrete FM First Model via Memory State Feedback

Pandiya

Vidyarthi

Tiwari

et al. 2022

Lecture Notes in Electrical Engineering

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H∞ Control Problem of Discrete 2-D Switched Mixed Delayed Systems Using the Improved Lyapunov-Krasovskii Functional

Duan

Ghous

Xia

et al. 2020

Int. J. Control Autom. Syst.

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LP Conditions for Stability and Stabilization of Positive 2D Discrete State-delayed Roesser Models

Cited by 4 publications

References 20 publications

Overflow oscillations‐free realization of discrete‐time 2D Roesser models under quantization and overflow constraints

Overflow oscillations‐free realization of discrete‐time 2D Roesser models under quantization and overflow constraints

Optimal Guaranteed Cost Control of an Uncertain and Shift-Delayed 2-D Discrete FM First Model via Memory State Feedback

H∞ Control Problem of Discrete 2-D Switched Mixed Delayed Systems Using the Improved Lyapunov-Krasovskii Functional

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