Optimal control problem for the Lyapunov exponents of random matrix products

Authors: Nguyễn Hữu Dư,

https://doi.org/10.1023/A:1004661918667

Publisher, magazine: ,

Publication year: 2000

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Abstract

The main result: If there exists a Markov policy such that some condition is satisfied, then there exists a stationary policy which minimizes the Lyapunov exponent of solutions of (1). In this case the spectrum of the system (1) consists of only one element.

Tags: random dynamical system; decision models; optimal problem; Lyapunov exponents; random matrix products; controlled Markov process; stationary policy