Numerical Stabilization of Bilinear Control Systems

L. Grüne: Numerical Stabilization of Bilinear Control Systems
SIAM Journal on Control and Optimization 34, 2024 - 2050, 1996

DOI: 10.1137/S0363012994272290
Keywords: stabilization; bilinear control systems; Lyapunov exponent;optimal control; discretization
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Abstract:

For bilinear control systems with constrained control values extremal Lyapunov exponents are computed numerically by solving discounted optimal control problems. Based on this computation a numerical algorithm to calculate stabilizing control functions is developed.

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