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Pi criterion with control constraints

As long as the optimal steady state controls are normal and lie within but not at the boundaries of the set of admissible control values, the negative- [Pg.256]

However, we need to derive the sufficient condition again. Let the control [Pg.257]

From the definition of the Fourier transform and its inverse (see Appendix 8.C, p. 264) [Pg.257]

Observe that 5y so obtained satisfies Equation (8.15) as well as the periodicity condition y(0) = 5y(r). [Pg.258]

To be admissible, the variational pair 6y, (5u) thus obtained should satisfy the constraints given by Equation (8.16) or Inequality (8.17). Thus, the corresponding Sli given by Equation (8.22) should be zero for the equality constraints and non-positive for the inequality constraints. In the foregoing treatment, we assume that these constraints are satisfied so that Sy, u) is admissible. In other words, the corresponding pair (y, u) satisfies Equation (8.6) and Inequality (8.7) on p. 249. [Pg.258]


Sufficient Condition or Pi Criterion with Control Constraints... [Pg.258]


See other pages where Pi criterion with control constraints is mentioned: [Pg.256]   
See also in sourсe #XX -- [ Pg.256 ]




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