Fractional output stabilization for a class of bilinear distributed systems

DOI10.1007/s12215-019-00429-wzbMath1459.93151OpenAlexW2956117831MaRDI QIDQ2657331

R. Larhrissi, Hanaa Zitane, Ali Boutoulout

Publication date: 12 March 2021

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/s12215-019-00429-w

zbMATH Keywords

strong stabilizationRiemann-Liouvilleweak stabilizationbilinear distributed systemsfractional spatial derivative

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

The Strong Stabilization of the State Fractional Derivative for Semi-Linear Systems ⋮ Robust observer-based dissipative control designs for fractional-order one-sided Lipschitz nonlinear systems ⋮ Event-triggered guaranteed cost control for uncertain polytopic fractional-order systems subject to unknown time-varying delays ⋮ Fractional output stabilization of distributed bilinear systems with a time delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilization with decay estimate for a class of distributed bilinear systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• Strong stabilization with decay estimate of semilinear systems
• Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi-Sugeno systems -- a descriptor redundancy approach
• Semigroups of linear operators and applications to partial differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Bilinear control processes. With applications to engineering, ecology, and medicine
• New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
• Stability for nonlinear fractional order systems: an indirect approach
• An output stabilization of bilinear distributed systems
• Exponential and Weak Stabilization of Constrained Bilinear Systems
• A necessary and sufficient condition for feedback stabilization in a factorial ring
• An Overview of Bilinear System Theory and Applications
• On the Fractional Output Stabilization for a Class of Infinite Dimensional Linear Systems