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Optimal Synthesis for Nonoscillatory Controlled Objects
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V. Boltyanski
Published/Copyright:
June 4, 2010
Abstract
In the paper we consider nonlinear, nonoscillatory controlled objects of second order. Main Theorem affirms that for these controlled objects there exist (in the controllability region) the time-optimal synthesis of Feldbaum's type. In the beginning of the paper, Felfbaum's n-interval Theorem is proved for linear controlled objects of n-th order with real eigenvalues (and without the requirement that the eigenvalues are pairwise distinct).
Key words and phrases.: Optimization; optimal synthesis; controlled object; Feldbaum's n-interval Theorem; nonlinear controlled objects; nonoscillatory controlled objects; controllability region; synthesis of Feldbaum's type
Received: 1996-05-20
Revised: 1996-10-16
Published Online: 2010-06-04
Published in Print: 1997-June
©Heldermann Verlag
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Articles in the same Issue
- Optimal Synthesis for Nonoscillatory Controlled Objects
- Forced Oscillations of First Order Nonlinear Neutral Differential Equations
- Continuity of the Superposition of Set–Valued Functions
- On the Uniqueness of Lebesgue and Borel Measures
- Optimality Conditions for Control Problems Governed by Abstract Semilinear Differential Equations in Complex Banach Spaces
- On the Continuity of Random Operators
- Norms on Possibilities II: More CCC Ideals on 2ω
- Stationary Solutions for Heat Equation Perturbed by General Additive Noise
- Note on Decreasing Rearrangement of Fourier Series
