Necessary conditions for divergence in linear elastic systems

Necessary and Sufficient Conditions for Distinguishability of Linear Control Systems

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of linear systems. However, the condition is not easy enough to verify. This paper will give a new equivalent condition which is relatively easy to verify.

Block-decoupling linear multivariable systems: necessary and sufficient conditions

We study block decoupling of linear multivariable systems under unity-feedback configuration. We consider plants which have unstable pole-zero coincidences and give necessary and sufficient conditions for the existence of the block decoupling controllers. The conditions are particularly simple for plants with only simple unstable pole-zero coincidences. An illustrative example is given.

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

Necessary Conditions for 2D Systems’ Stability

In this paper we consider parameterized Lyapunov inequalities arising in stability analysis of discrete-discrete and continuous-discrete 2D systems. A necessary condition for their feasibility is presented. This condition is based on an optimization method published earlier by the author. Its properties include being reasonably easy to check, and its coverage being adjustable via the algorithm’...

Scalings in Linear Programming: Necessary and Sufficient Conditions for Invariance

We analyze invariance of the conclusion of optimality for the linear programming problem under scalings (linear, affine, . . . ) of various problem parameters such as: the coefficients of the objective function, the coefficients of the constraint vector, the coefficients of one or more rows (columns) of the constraint matrix. Measurement theory concepts play a central role in our presentation a...