Approximate controllability for systems governed by nonlinear Volterra type equations

DOI10.1007/s12591-011-0101-7zbMath1252.93025OpenAlexW2121396836MaRDI QIDQ691330

Ngai-Ching Wong, Tran Dinh Ke, Jen-Chih Yao, Valerii V. Obukhovskij

Publication date: 30 November 2012

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-011-0101-7

zbMATH Keywords

exact controllabilityapproximate controllabilityfixed-pointmultiple delaysmeasure of non-compactnessreachability set\(R_\delta\)-mapabsolute neighborhood retract (ANR) spaceabsolute retract (AR) spaceabstract Volterra equationfractional order control problemnon-convex valued multimap

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Fixed-point theorems (47H10) Set-valued operators (47H04) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Attainable sets, reachability (93B03) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications ⋮ On controllability of nonlocal retarded semilinear distributed control systems ⋮ Topological properties of solution sets for nonlinear evolution hemivariational inequalities and applications ⋮ Nonlinear evolution inclusions: topological characterizations of solution sets and applications ⋮ Unnamed Item ⋮ On the existence of impulsive neutral evolution differential inclusions with infinite delay ⋮ Topological properties of solution sets for Riemann-Liouville fractional nonlocal delay control systems with noncompact semigroups and applications to approximate controllability ⋮ Topological characteristics of solution sets for fractional evolution equations and applications to control systems ⋮ Controllability and stabilizability of linear time-varying distributed hereditary control systems

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