Approximate positive controllability of positive boundary control systems

DOI10.1007/s11117-013-0249-1zbMath1296.35089OpenAlexW2029952814MaRDI QIDQ743457

Hammadi Bouslous, Said Boulite, Lahcen Maniar, Mohamed El Azzouzi

Publication date: 24 September 2014

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-013-0249-1

zbMATH Keywords

Banach latticesapproximate controllabilitytransport equationsboundary control systemspositive operatorsflows in networks

Mathematics Subject Classification ID

Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65) Control/observation systems in abstract spaces (93C25)

Related Items

Exact and positive controllability of boundary control systems, Mild solution and constrained local controllability of semilinear boundary control systems, Boundary approximate controllability under positivity constraints of infinite-dimensional control systems, Null controllability of networks systems, \(\mu\)-pseudo almost periodic solutions to some semilinear boundary equations on networks

Cites Work

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• Maximal controllability for boundary control problems
• A unified approach to constrained approximate controllability for the heat equations and the retarded equations
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
• The semigroup approach to transport processes in networks
• Vertex control of flows in networks
• One-parameter semigroups of positive operators
• Approximate controllability with positive controls
• Spectral properties and asymptotic periodicity of flows in networks
• Linearized stability for hyperbolic evolution equations with semilinear boundary conditions
• Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
• Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
• Aspects of Positivity in Control Theory
• Positive Controllability Test for Continuous-Time Linear Systems
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Controllability in Linear Autonomous Systems with Positive Controllers