Mathematical control theory: deterministic systems
Mathematical control theory: deterministic systems
Suboptimization of singularly perturbed control systems
SIAM Journal on Control and Optimization
Multi-time scale zero-sum differential games with perfect state measurements
Dynamics and Control - Special issue in memory of J. V. Breakwell, Part II
A Tikhonov-type theorem for singularly perturbed differential inclusions
Nonlinear Analysis: Theory, Methods & Applications
Averaging of singularly perturbed systems
Nonlinear Analysis: Theory, Methods & Applications
Limits of Singularly Perturbed Control Problems with Statistical Dynamics of Fast Motions
SIAM Journal on Control and Optimization
Tracking Fast Trajectories Along a Slow Dynamics: A Singular Perturbations Approach
SIAM Journal on Control and Optimization
Singular Perturbation Methods in Control: Analysis and Design
Singular Perturbation Methods in Control: Analysis and Design
Multiscale Singularly Perturbed Control Systems: Limit Occupational Measures Sets and Averaging
SIAM Journal on Control and Optimization
Order reduction of multi-scale differential inclusions
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
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An order reduction procedure for nonlinear control systems with multiple time scales is introduced. A limit system for the slowest motion describing the situation that all singular perturbation parameters vanish is constructed. For this purpose a refined two-scale averaging method is used in a way that allows a re-iteration. For vanishing control range the results reduce to the well-known Tychonoff theorem on order reduction for singularly perturbed ODEs.