论文信息 - PD-spectral theory for multivariable linear time-varying systems

PD-spectral theory for multivariable linear time-varying systems

In this paper a recently developed differential algebraic spectral theory for scalar linear time-varying (LTV) systems is extended to the more general class of multivariable (MV) LTV systems. LTV counterparts of the left-half-plane stability criterion, PBH type controllability and observability tests, and stabilization and decoupling by eigenstructure assignment are developed. The results can be applied to nonlinear tracking and decoupling by trajectory linearization without resorting to ad hoc gain scheduling.

J.J. Zhu

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