Robust observer-based dissipative control designs for fractional-order one-sided Lipschitz nonlinear systems

DOI10.1007/s12215-022-00825-9zbMath1526.93188OpenAlexW4301585740MaRDI QIDQ6104186

Mai Viet Thuan, Duong Thi Hong, Nguyen Huu Sau, Nguyen Thi Thanh Huyen

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00825-9

zbMATH Keywords

linear matrix inequalityone-sided Lipschitz nonlinearityLyapunov functional methodfractional-order systemsobserver-based dissipative control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08) Observers (93B53)

Cites Work

• Unnamed Item
• Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays
• Fractional calculus in viscoelasticity: an experimental study
• Robust finite-time stability of fractional order linear time-varying impulsive systems
• Mixed \(H_{\infty}\) and passive control for fractional-order nonlinear systems via LMI approach
• New sufficient conditions for observer-based control of fractional-order uncertain systems
• Dissipativity and stability analysis for fractional functional differential equations
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Fractional order electromagnetics
• Robust observer-based control designs for discrete nonlinear systems with disturbances
• On observer-based control of one-sided Lipschitz systems
• Robust static output feedback \(\mathcal{H}_\infty\) control for uncertain fuzzy systems
• A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
• Necessary and sufficient conditions of observer-based stabilization for a class of fractional-order descriptor systems
• Observer-based robust controller design for nonlinear fractional-order uncertain systems via LMI
• Analytic study on boundary value problem of implicit differential equations via composite fractional derivative
• Real life application of Caputo fractional derivative for measles epidemiological autonomous dynamical system
• Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems
• Novel results on observer-based control of one-sided Lipschitz systems under input saturation
• New results on regional observer-based stabilization for locally Lipschitz nonlinear systems
• A fractional-order epidemic model with time-delay and nonlinear incidence rate
• A new design method for observer-based control of nonlinear fractional-order systems with time-variable delay
• Dissipativity and stability analysis of fractional-order complex-valued neural networks with time delay
• Robust stabilization for rectangular descriptor fractional order interval systems with order \(0 < \alpha < 1\)
• Observer-based robust control for fractional-order nonlinear uncertain systems with input saturation and measurement quantization
• Robust adaptive fractional-order observer for a class of fractional-order nonlinear systems with unknown parameters
• Non-fragile observer-based robust control for a class of fractional-order nonlinear systems
• Fractional output stabilization for a class of bilinear distributed systems
• Existence of solutions for a nonlinear fractional \(p\)-Laplacian boundary value problem
• Modeling some real phenomena by fractional differential equations
• Linear Matrix Inequalities in System and Control Theory
• Fractional‐order–dependent global stability analysis and observer‐based synthesis for a class of nonlinear fractional‐order systems
• Observer‐based tracking controller design for quasi‐one‐sided Lipschitz nonlinear systems
• Observer-based controller for Lipschitz nonlinear systems
• Robust observer design for uncertain one‐sided Lipschitz systems with disturbances
• Stabilization of Non‐Linear Fractional‐Order Uncertain Systems
• New Results on Stabilization of Fractional‐Order Nonlinear Systems via an LMI Approach
• Dynamic observer-based control for fractional-order uncertain linear systems
• Robust passivity and feedback passification of a class of uncertain fractional-order linear systems
• Robust stabilisation of fractional-order interval systems via dynamic output feedback: an LMI approach
• New approach to robust observer‐based control of one‐sided Lipschitz non‐linear systems
• Robust dissipativity and dissipation of a class of fractional‐order uncertain linear systems
• Dissipativity and Contractivity Analysis for Fractional Functional Differential Equations and their Numerical Approximations
• Robust guaranteed cost control for time‐delay fractional‐order neural networks systems
• Nonlinear observer design for one‐sided Lipschitz systems with time‐varying delay and uncertainties
• Reduced‐order observer‐based controller design for quasi‐one‐sided Lipschitz nonlinear systems with time‐delay
• Passivity analysis of fractional-order neural networks with time-varying delay based on LMI approach
• New results on stability for a class of fractional-order static neural networks

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