Get 23 Shades of Black (A Filomena Buscarsela Mystery, Book 1) PDF

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By Kenneth Wishnia, Barbara D'Amato

ISBN-10: 1604865873

ISBN-13: 9781604865875

This stressful, mental mystery set within the East Village punk scene through the early Nineteen Eighties shadows a unmarried night shift of NYPD cop Filomena Buscarsela. whilst Filomena learns that the poisonous leak can have been sabotage, and a key witness—an East Village artist—dies in a suspicious twist of fate, she comes to a decision to pursue the case on her personal via cruising the Alphabet urban punk rock golf equipment for clues concerning the artist's final days. yet as she makes an attempt to punish environmental criminals, Filomena unearths the case, and her own lifestyles, start to collapse. A taut noir tempered with a cynical humorousness, this secret novel is a sociological picture of a working-class Latina in long island urban.

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Additional info for 23 Shades of Black (A Filomena Buscarsela Mystery, Book 1)

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67) where ∗ represents matrices that are not relevant in the following discussion, and W = AT2 Pˆ1 A2 + AT4 Pˆ2T A2 + AT2 Pˆ2 A4 + AT4 Pˆ3 A4 + Q2 A4 + AT4 QT2 . 67), it is easy to see W < 0. 4, gives 1 AT2 Pˆ2 + AT4 Pˆ3 + Q2 A4 2 1 ≤µ AT2 Pˆ2 + AT4 Pˆ3 + Q2 A4 2 1 1 = λmax AT2 Pˆ2 + AT4 Pˆ3 + Q2 A4 2 2 α +AT4 < 0. 3 Stability of Discrete Systems 27 Therefore, the matrix AT2 Pˆ2 + 21 AT4 Pˆ3 + Q2 A4 is nonsingular, which implies that the matrix A4 is nonsingular too. 10, we have that the pair (E, A) is regular and causal.

5 3  . 8950. Thus, the open-loop system is not stable, and hence not admissible. To construct a stabilizing state feedback controller for this system, we first choose   1 S =  −1  , 0 which is with full column rank and satisfies ES = 0. 4) is feasible. 0368 such that the closed-loop system is admissible. 4477  . 1106  . 1632 . 8566i; that is, α (Ac ) < 0. 9) is admissible. 2 Output Feedback Control In practical applications, usually not all the state variables are available for feedback. Here we will design dynamic output feedback controllers for continuous singular systems such that the closed-loop system is admissible.

42) Furthermore, the 1-1 block of U T EcT Pc U = U T PcT Ec U ≥ 0, gives Let −1 −1 P3c P3c = P1c − P2c P4c E T P1c − P2c P4c T E ≥ 0. 43) 40 3 Stabilization −1 Y = P1c − P2c P4c P3c Ψ = −1 , −1 CK P4c P3c Y. 19) holds. 43), it can be shown that −T T −1 Pc4 EK = EK Pc4 ≥ 0, and Y T E T = EY ≥ 0. 46) Therefore E T X − Y −1 −1 = E T Pc1 − P1c − P2c P4c P3c −1 = E T P2c P4c P3c −1 T = Pc3 EK P4c P3c T −T T = Pc3 Pc4 EK P3c = E T X − Y −1 ≥ 0. 47) Observe that + = = = = E T X − E T (EY ) E + E T X − Y −T (EY ) (EY ) (EY ) Y −1 E T X − Y −T (EY ) Y −1 E T X − Y −T E E T X − Y −1 ≥ 0.

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23 Shades of Black (A Filomena Buscarsela Mystery, Book 1) by Kenneth Wishnia, Barbara D'Amato


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