Geometric structure theory of systems--control theory and physics /
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| Autor Principal: | |
|---|---|
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Brookline, Mass. :
Math Sci Press,
c1974-<c1976 >.
|
| Series: | Interdisciplinary mathematics ;
v. 9, 11 |
| Materias: | |
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| LEADER | 03149cam a2200313 a 4500 | ||
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| 001 | MAT.inmabb005030 | ||
| 008 | 750609m19749999mau######b####000#0#eng## | ||
| 005 | 20180222151853.0 | ||
| 245 | 1 | 0 | |a Geometric structure theory of systems--control theory and physics / |c Robert Hermann. |
| 260 | |a Brookline, Mass. : |b Math Sci Press, |c c1974-<c1976 >. | ||
| 300 | |a v. <A-B > ; |c 21 cm. | ||
| 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 | ||
| 859 | |h 93 |i H552g |p A-5424 |v A |3 Part A |b BIB. MATEMATICA | ||
| 859 | |h 93 |i H552g |p A-5426 |v B |3 Part B |b BIB. MATEMATICA | ||