Global Methods in Optimal Control TheoryCRC Press, 13.10.1995 - 408 Seiten This work describes all basic equaitons and inequalities that form the necessary and sufficient optimality conditions of variational calculus and the theory of optimal control. Subjects addressed include developments in the investigation of optimality conditions, new classes of solutions, analytical and computation methods, and applications. |
Inhalt
Preface | 1 |
BOUNDING AND SOLVING FUNCTIONS SUFFICIENT | 21 |
58 | 37 |
Commentary and Bibliography | 54 |
SOME SPECIAL OPTIMAL CONTROL PROBLEMS | 61 |
Commentary and Bibliography | 121 |
References | 128 |
Commentary and Bibliography | 177 |
OPTIMAL FEEDBACK POLICY HAMILTONJACOBI | 181 |
Commentary and Bibliography | 234 |
References | 262 |
Some Auxiliary Results | 287 |
EXTENSION OF THE CLASS OF SOLVING FUNCTIONS | 293 |
| 319 | |
Commentary and Bibliography | 376 |
Häufige Begriffe und Wortgruppen
admissible control admissible processes aircraft algorithm approximate arg max Bellman equation boundary conditions bounding function calculus of variations Cauchy problem coefficients considered construction continuous function continuously differentiable control synthesis control u(t corresponding denote differential equation differential games discontinuous dx(t dynamic exists flight dynamics formula functions x(t ƒº(t global inequality initial conditions integral Lemma Let the function linear lower bound mathematical matrix max R(t maximization method minimizing sequence minimum multiargument necessary conditions obtain optimal control problem optimal control theory optimal process optimal synthesis optimal trajectory pair parameter piecewise process equations quadratic form respect satisfies the conditions Section solution solving function sufficient conditions sufficient optimality conditions sup inf terminal tion trajectory x(t V. F. Krotov V₁ variables variational calculus variational problems vector function velocity x₁ xo(t дх
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