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Your search keyword '"TRAJECTORY optimization"' showing total 2 results
2 results on '"TRAJECTORY optimization"'

1. Stochastic Maximum Principle for Optimal Control Problems of Forward-Backward Systems Involving Impulse Controls.

Author

Wu, Zhen and Zhang, Feng

Subjects
*STOCHASTIC processes, *CONTROL theory (Engineering), *PROCESS control systems, *MATHEMATICAL optimization, *DIFFERENTIAL equations, *MAXIMUM principles (Mathematics), *TRAJECTORY optimization
Abstract

We consider a stochastic optimal control problem of a forward-backward system in which the control variable consists of two components: the continuous control and the impulse control. The domain of the control is assumed to be convex. Necessary optimality conditions of the Pontryagin maximum principle type are obtained for this stochastic optimal control problem. We also give additional conditions, under which the necessary optimality conditions turn out to be sufficient. [ABSTRACT FROM AUTHOR]

Published
2011
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2. A Unified Lyapunov Approach to Analysis of Oscillations and Stability for Systems With Piecewise Linear Elements.

Author

Hu, Tingshu, Thibodeau, Thomas, and Teel, Andrew R.

Subjects
*OSCILLATIONS, *LIMIT cycles, *TRAJECTORY optimization, *LYAPUNOV stability, *PROCESS control systems, *MATHEMATICAL optimization, *MATHEMATICAL formulas
Abstract

This technical note develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear elements. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis. [ABSTRACT FROM AUTHOR]

Published
2010
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