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Biblioteca Dr. Antonio Monteiro · Catálogo |
| LDR | ·····cam##22·····#a#4500 |
| 001 | 005030 |
| 005 | 20180222151853.0 |
| 008 | 750609m19749999mau######b####000#0#eng## |
| 245 | 10 | $a Geometric structure theory of systems--control theory and physics / $c Robert Hermann. |
| 260 | ## |
$a Brookline, Mass. : $b Math Sci Press, $c c1974- |
| 300 | ## |
$a v. |
| 440 | #0 | $a Interdisciplinary mathematics ; $v v. 9, 11 |
| 504 | ## | $a Bibliografía: v. 1, p. 439-442. |
| 505 | 0# | $a Chapter I, Lie's theory of groups and differential equations; Chapter II, Dissipative mechanical systems and electrical networks; Chapter III, Pfaffian, vector field and Monge systems; Chapter IV, The Carathéodory approach to the calculus of variations; Chapter V, Optimal control variational problems; Chapter VI, Singular characteristics curves of closed 2-forms and optimal control variational problems; Chapter VII, The algebra of boundary conditions for linear ordinary differential equations; Chapter VIII, The Kronecker theory of systems of linear, time-invariant ordinary differential equations; Chapter IX, The geometry of interactions in thermodynamics; Chapter X, The geometry of interaction in classical mechanics; Chapter XI, Differential-geometric interconnection of systems and electrical circuits; Chapter XII, The theory of network parts; Chapter XIII, Controllability and observability of input-output systems. |
| 505 | 0# | $a Chapter 1. The Carathéodory approach to optimal control variational problems, and the Pontrjagin minimal principle; Chapter 2. Hamilton-Jacobi theory and the optimal control problem; Chapter 3. Characteristic curves and the first and second variation formulas for optimal control problems; Chapter 4. The Weierstrass condition and the Pontrjagin principle; Chapter 5. An optimal-control distributed-parameter and field-theoretic variational problem; Chapter 6. A general form of circuit theory; Chapter 7. The equations of motion of mechanical systems; Chapter 8. Abelian groups of Lagrangian symmetries and cyclic coordinates; Chapter 9. Some relations between analytical and quantum mechanics; Chapter 10. The quantization conditions of Bohr, Sommerfeld and Einstein; Chapter 11. Canonical transformations generated by complete solutions of the Hamilton-Jacobi equation; Chapter 12. Invariant integrals and continuum mechanics; Chapter 13. Optimization and programming of functions on manifolds; Chapter 14. Optimization of functions under constraints; Chapter 15. Pareto optimals and extremals. |
| 510 | 4# | $a MR, $c 58 #33186 $3 (pt. A) |
| 510 | 4# | $a MR, $c 58 #33269 $3 (pt. B) |
| 020 | ## | $a 0915692147 (pt. B) |
| 100 | 1# | $a Hermann, Robert, $d 1931- |
| 246 | 1# | $i Título en cubiertas y en portada de pt. B: $a Geometric structure of systems--control theory and physics |
| 650 | #0 | $a System analysis. |
| 650 | #0 | $a Geometry, Differential. |
| 650 | #0 | $a Physics. |
| 084 | ## | $a 93A05 (58-01) $2 MR |
| 084 | ## | $a 93B10 (49FXX 70.49 81.35) $2 MR |
| 010 | ## | $a ###74030856# |
| 040 | ## | $a DLC $c DLC $d DLC |
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