Exact controllability of a class of nonlinear distributed parameter systems using back-and-forth iterations

DOI10.1080/00207179.2016.1266513zbMath1415.93053OpenAlexW2558781461MaRDI QIDQ5742984

Vivek Natarajan, Hua-Cheng Zhou, George Weiss, Eh. M. Fridman

Publication date: 8 May 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2016.1266513

zbMATH Keywords

exact controllabilitystabilizabilitynonlinear perturbationregular linear systemRussell's principleback-and-forth iterations

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Perturbations in control/observation systems (93C73) Control/observation systems in abstract spaces (93C25) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

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• Well-posed systems -- the LTI case and beyond
• Recovering the initial state of an infinite-dimensional system using observers
• Exact controllability of infinite dimensional systems persists under small perturbations
• New stability and exact observability conditions for semilinear wave equations
• Semigroups of linear operators and applications to partial differential equations
• Regular linear systems with feedback
• Exact controllability for semilinear wave equations in one space dimension
• Controllability of nonlinear systems in Banach spaces: a survey
• Transfer functions of regular linear systems. III: Inversions and duality
• On the exact internal controllability of a Petrowsky system
• Observers and initial state recovering for a class of hyperbolic systems via Lyapunov method
• Output-feedback stabilization of an unstable wave equation
• Dynamic stabilization of regular linear systems
• Exponential stabilization of well-posed systems by colocated feedback
• Analysis of the HUM Control Operator and Exact Controllability for Semilinear Waves in Uniform Time
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Control and Stabilization for the Wave Equation in a Bounded Domain
• Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity

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