A class of nonlinear impulsive differential equation and optimal controls on time scales

DOI10.3934/DCDSB.2011.16.1137zbMath1244.49066OpenAlexW2326361197MaRDI QIDQ652189

Xiaoling Xiang, Yunfei Peng

Publication date: 13 December 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.16.1137

zbMATH Keywords

optimal controlnecessary optimality conditionsweak solutionexistencesubdifferentialstime scaleimpulse

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Time-scale analysis and singular perturbations in control/observation systems (93C70) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving ordinary differential equations (49J15) Weak solutions to PDEs (35D30) Optimality conditions for problems involving ordinary differential equations (49K15) Impulsive optimal control problems (49N25)

Related Items (3)

Controllability of impulse controlled systems of heat equations coupled by constant matrices ⋮ The existence of optimal controls for problems defined on time scales ⋮ Stabilization on Periodic Impulse Control Systems

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