Liu, Y. J.Yin, GeorgeZhang, QingMoore, John2015-12-080932-4194http://hdl.handle.net/1885/30089In this work, we establish a framework for balanced realization of linear systems subject to regime switching modulated by a continuous-time Markov chain with a finite state space. First, a definition of balanced realization is given. Then a ρ-balanced rKeywords: Algebraic equations; Approximation procedure; Averaging technique; Balanced realization; Balanced realizations; Computational effort; Continuous time Markov chain; Finite state spaces; Markov Chain; Numerical example; Regime switching; State space; Time s Aggregation; Balanced realization; Continuous-time Markov chain; Decomposition; Time-scale separation200710.1007/s00498-007-0019-32016-02-24