First, the existence conditions on the solutions to the algebraic Riccati equation are reviewed. Then, a strict proof is presented for a necessary and sufficient condition on the existence of a unique optimal positive definite solution to this equation. By using this condition, some untrue results on the design of robust decentralized controllers are corrected.

Sec. 514.1 Applications. 514.4 Substantial evidence. 514.6 Amended applications. 514.7 Withdrawal of applications without prejudice. 514.8 Supplemental new animal drug applications. 514.11 Confidentiality of data and information in a new animal drug application file. 514.12 Confidentiality of data and information in an investigational new animal drug notice. 514.15 Untrue statements in applicat...

This study adopted descriptive study, four research questions were formulated and one hypothesis was postulated. Ten schools purposively sampled, in each school ten students five teachers randomly selected making hundred fifty respondents. The findings of the showed that 76.0% 11.0% described as very true true. Oil multi-national companies’ educational intervention contributes to quality delive...

It shows that the current physics is divorced from reality in many aspects and violates some basic scientific principles. This paper makes an illustration six aspects: impossible time travel, unreal black hole photos, unvalid principle of equivalence, unscientific electromagnetism, incorrect subjective analysis, untrue lunar motion.

This session of the conference is titled: “Fiscal Policy in a Monetary Union”. What is a central banker’s role in such a discussion? Well, Mervyn King once said: “Central banks are often accused of being obsessed with inflation. This is untrue. If they are obsessed with anything, it is with fiscal policy.” As so often, Mervyn King was right, we central bankers are indeed obsessed with fiscal po...

Many untrue hypotheses and information appeared around the “alleged” witchcraft trial in Doruchow second half of 18th century, which resulted death sever-al women. The text introduces a new category sources: vital records registers consistory records, proved to be valuable material not only confirming event itself, but also revealing initiators trial, defendants, witnesses.

We reformulate Mesiar’s hypothesis [Possibility measures, integration and fuzzy possibility measures, Fuzzy Sets and Systems 92 (1997) 191196], which as such was shown to be untrue by Murofushi [Two-valued possibility measures induced by σ-finite σ-additive measures, Fuzzy Sets and Systems 126 (2002) 265268]. We prove that a two-valued σ-maxitive measure can be induced by a σ-additive measure u...

pressure and flow during the forced expiratory manoeuvre. It also breaks a fundamental law of the science of measurement: that units of measurement such as litre per minute should have an absolute definition and meaning. Finally, Dr Wright states that the resistance of the meter has a marked effect on a rigid mechanical flow generator of the type used by us. This is untrue, for our calibration ...