Observability of nonlinear fractional dynamical systems

DOI10.1155/2013/346041zbMath1295.34008OpenAlexW2155540865WikidataQ58915991 ScholiaQ58915991MaRDI QIDQ2015384

V. Govindaraj, Juan J. Trujillo, José António Tenreiro Machado, Margarita Rivero, Krishnan Balachandran

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/346041

zbMATH Keywords

Mittag-Leffler matrix functionBanach's contraction mapping theorem

Mathematics Subject Classification ID

Observability (93B07) Control problems involving ordinary differential equations (34H05) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (6)

Functional approach to observability and controllability of linear fractional dynamical systems ⋮ Stabilizability of fractional dynamical systems ⋮ SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS ⋮ Exact controllability of fractional order evolution equations in Banach spaces ⋮ Controllability result of nonlinear higher order fractional damped dynamical system ⋮ Decay solutions for a class of fractional differential variational inequalities

Cites Work

• Selected problems of fractional systems theory.
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Recent history of fractional calculus
• Fractional differential equations as alternative models to nonlinear differential equations
• Fractional-order systems and controls. Fundamentals and applications
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• On Mittag-Leffler-type functions in fractional evolution processes
• Science metrics on fractional calculus development since 1966
• And I say to myself: “What a fractional world!”
• New Results on the Controllability and Observability of Fractional Dynamical Systems
• Mathematical control theory: an introduction
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