Stabilizability and existence of system representations for discrete-time time-varying systems
SIAM Journal on Control and Optimization
Linear robust control
Robust and optimal control
Gap-Metric Robustness Analysis of Linear Periodically Time-Varying Feedback Systems
SIAM Journal on Control and Optimization
Convex analysis and variational problems
Convex analysis and variational problems
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
A Robust Control Framework for Linear, Time-Invariant, Spatially Distributed Systems
SIAM Journal on Control and Optimization
Journal of Dynamical and Control Systems
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Two classes of robust control problems associated with a class of nonlinear parabolic type systems with multiple time-varying delays are considered, in order to take an account of the influence of noises in data. The time-varying delays are given in the integral form and appear in the state equations. The controls appear either in the forcing terms or in the initial condition. First, the robust control problems are formulated. Afterwards the existence of an optimal solution is proved and necessary conditions of optimality are obtained. Finally the conditions of the uniqueness of the optimal solution are derived.