Abstract
In a linear control system setting, we derive conditions under which extremal controls give rise to trajectories which exit a given subspace. An application is in determining effectiveness of linear state restraints in time-optimal problems.
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Stern, R. J.,Time-Optimal Control Under State-Dependent Control Restraints, Journal of Optimization Theory and Applications, Vol. 24, No. 1, 1978.
Lee, E. B., andMarkus, L.,Foundations of Optimal Control Theory, John Wiley and Sons, New York, New York, 1967.
Pachter, M., andStern, R. J.,On State-Restrained Linear-Quadratic Control Problems, Journal of Mathematical Analysis and Applications (to appear).
Pachter, M., andStern, R. J.,The Controllability Problem for Affine Targets, Journal of Mathematical Analysis and Applications (to appear).
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Communicated by G. Leitmann
This work was supported by the National Research Council of Canada under Grant No. A4641.
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Stern, R.J. Subspace exit properties of extremal controls. J Optim Theory Appl 25, 105–115 (1978). https://doi.org/10.1007/BF00933258
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DOI: https://doi.org/10.1007/BF00933258