Functional differential inclusion with monotone right-hand side
Nonlinear Analysis: Theory, Methods & Applications
Suboptimization of singularly perturbed control systems
SIAM Journal on Control and Optimization
Averaging of singularly perturbed systems
Nonlinear Analysis: Theory, Methods & Applications
Tracking Fast Trajectories Along a Slow Dynamics: A Singular Perturbations Approach
SIAM Journal on Control and Optimization
Averaging Method for One-Sided Lipschitz Differential Inclusions with Generalized Solutions
SIAM Journal on Control and Optimization
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbations in Infinite-Dimensional Control Systems
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Linear Programming Approach to Deterministic Long Run Average Problems of Optimal Control
SIAM Journal on Control and Optimization
Discrete Approximations and Fixed Set Iterations in Banach Spaces
SIAM Journal on Optimization
SIAM Journal on Control and Optimization
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Singularly perturbed differential inclusions in evolution triple are studied with the help of the averaging method. The upper and lower limits of the slow solution set are estimated when the small parameter tends to zero and the upper or the lower limit averaged system exists. Sufficient conditions of the existence of the limit of the (full) solution set are presented. Under these conditions some properties of the limit occupational measure sets are studied. An illustrative example is provided.