Nonlinear functional analysis and its applications
Nonlinear functional analysis and its applications
SIAM Journal on Control and Optimization
Regional Boundary Controllability of Hyperbolic Systems. Numerical Approach
Journal of Dynamical and Control Systems
Regional Observability for Semilinear Distributed Parabolic Systems
Journal of Dynamical and Control Systems
Applied Functional Analysis: Applications to Mathematical Physics
Applied Functional Analysis: Applications to Mathematical Physics
Weak and exact domination in distributed systems
International Journal of Applied Mathematics and Computer Science
Regional Control Problem for Distributed Bilinear Systems: Approach and Simulations
International Journal of Applied Mathematics and Computer Science - Issues in Advanced Control and Diagnosis
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The paper aims at extending the notion of regional controllability developed for linear systems to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated with examples.