The monotone method for controllability of the nonlinear evolution system

DOI10.1007/S10255-011-0105-7zbMath1260.93022OpenAlexW2026453454MaRDI QIDQ1942161

Yue Lu, Ming-Ji Liu, Yong Li

Publication date: 18 March 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0105-7

zbMATH Keywords

controllabilitymonotone operatornonlinear control systemsmonotone operator theorycompactness assumptions

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (2)

Approximate controllability of second-order semilinear control system ⋮ Approximate controllability of stochastic differential system with non-Lipschitz conditions

Cites Work

• Unnamed Item
• Some controllability results for the 2D Kolmogorov equation
• Remarks on the paper ``Controllability of second order differential inclusion in Banach spaces by J. R. Kang, Y. C. Kwun, J. Y. Park.
• Controllability questions for nonlinear systems in abstract spaces
• Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
• On the lack of exact controllability for mild solutions in Banach spaces
• A note on approximate controllability of semilinear systems
• Controllability for parabolic equations with uniformly bounded nonlinear terms
• Approximate controllability of evolution systems with nonlocal conditions
• Controllability for semilinear retarded control systems in Hilbert spaces
• Controllability Properties of Linear and Semilinear Abstract Control Systems
• Approximate controllability of non-linear evolution systems with time-varying delays
• Approximate solvability of semilinear operator equations
• CONTROLLABILITY FOR SEMILINEAR FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS
• Approximate Controllability for a Class of Semilinear Abstract Equations
• Controllability of Semilinear Control Systems Dominated by the Linear Part
• Approximate controllability of nonautonomous semilinear systems
• Constrained controllability of nonlinear systems
• A broad class of evolution equations are approximately controllable, but never exactly controllable
• Exact controllability of semilinear evolution systems and its application

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