论文信息 - Characterization of passive systems through their closed-loop LQG characteristic values

Characterization of passive systems through their closed-loop LQG characteristic values

A characterization of passivity of linear, time-invariant, strictly proper systems is provided. It is based on the LQG balancing technique of [1]. The main result is that the LQG characteristic values (\mu_{i}'s) of passive systems are less than 1. Further, if asymptotic stability is assumed, then \mu_{i} .

E. Jonckheere | P. Opdenacker

[1] K. Glover. All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[2] J. Willems. Dissipative dynamical systems Part II: Linear systems with quadratic supply rates , 1972 .

[3] Edmond A. Jonckheere,et al. A new set of invariants for linear systems--Application to reduced order compensator design , 1983 .

[4] Edmond A. Jonckheere,et al. LQG balancing and reduced LQG compensation of symmetric passive systems , 1985 .

[5] L. Silverman,et al. Stochastic balancing and approximation - Stability and minimality , 1983, The 22nd IEEE Conference on Decision and Control.