Concepedia

Regularity properties of optimal controls for problems with time-varying state and control constraints

Ilya Shvartsman, Richard Vinter

Nonlinear Analysis · 2006 · 21 citations · 5 references

Concepts

Natural SciencesMathematicsDynamical SystemsOptimizationControl Of Dynamical SystemsControl TheoryNonlinear ControlOptimal ControlRobust ControlStochastic ControlConstrained ControlNonlinear Optimal ControlOptimal Control Existence TheoremsOptimal Control Of Nonlinear SystemsOptimal Control Of Stochastic SystemsRegularity TheoryState-constrained Optimal ControlTime-varying State-space Models

References

5

Strongly Regular Generalized Equations

Stephen M. Robinson · Mathematics of Operations Research · 1980 · 981 citations

Natural Sciences, Mathematics, Mathematical Economics +16

Lipschitz Continuity for Constrained Processes

William W. Hager · SIAM Journal on Control and Optimization · 1979 · 270 citations

Natural Sciences, Mathematics, Optimization +16

Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings

Boris S. Mordukhovich · Journal of Mathematical Analysis and Applications · 1994 · 266 citations

Natural Sciences, Mathematics, Differential Equations +13

Lipschitz Continuity of Optimal Controls for State Constrained Problems

Grant N. Galbraith, Richard Vinter · SIAM Journal on Control and Optimization · 2003 · 63 citations

Natural Sciences, Mathematics, Cost-minimization Analysis +16

A new approach to Lipschitz continuity in state constrained optimal control

Asen L. Dontchev, William W. Hager · Systems & Control Letters · 1998 · 35 citations

Natural Sciences, Mathematics, Optimization +13