Optimal control of higher order elliptic distributed systems with a spectral parameter and discontinuous nonlinearity

DOI10.1134/S106423071302010XzbMath1311.49012OpenAlexW2000855860MaRDI QIDQ2263433

D. K. Potapov

Publication date: 18 March 2015

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106423071302010x

zbMATH Keywords

optimal controlincompressible fluidsdiscontinuous nonlinearityelliptic distributed systemsGol'dshtik problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Attainable sets, reachability (93B03) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (3)

On uniqueness and properties of periodic solution of second-order nonautonomous system with discontinuous nonlinearity ⋮ Existence of periodic solutions to automatic control system with relay nonlinearity and sinusoidal external influence ⋮ On existence conditions for a two-point oscillating periodic solution in an non-autonomous relay system with a Hurwitz matrix

Cites Work

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• Iterative methods for solution of problems of optimal control of logic-dynamic systems
• Suboptimal control of feedback-linearizable nonlinear plant
• On the number of semiregular solutions in problems with spectral parameter for higher-order equations of elliptic type with discontinuous nonlinearities
• On the eigenvalue set structure for higher-order equations of elliptic type with discontinuous nonlinearities
• On a ``separating set for higher-order equations of elliptic type with discontinuous nonlinearities
• Approximation to the Dirichlet problem for a higher-order elliptic equation with a spectral parameter and a discontinuous nonlinearity
• Optimal and suboptimal control for sets of trajectories of deterministic continuous-discrete systems
• A global theory of steady vortex rings in an ideal fluid
• Continuous approximations of Gol'dshtik's model
• Optimal control of some hybrid systems
• Approximation of the one-parameter family of Dirichlet problems for higher-order elliptic-type equations with discontinuous nonlinearities in the resonance case
• On positive solutions of nonlinear elliptic eigenvalue problems

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