| 《拟线性双曲系统的能控性与能观性(英文版)》是由高等教育出版社出版的。 |
| introduction 1.1 exact controllability 1.2 exact observability 1.3 "duality" between controllability and observability 1.4 exact boundary controllability and exact boundary observability for 1-d quasilinear wave equations 1.5 exact boundary controllability and exact boundary observability of unsteady flows in a tree-like network of open canals 1.6 nonautonomous hyperbolic systems 1.7 notes on the one-sided exact boundary controllability and observability 2 semi-global c1 solutions for first order quasilinear hyperbolic systems 2.1 introduction 2.2 equivalence of problem i and problem ii 2.3 local c1 solution to the mixed initial-boundary value problem 2.4 semi-global c1 solution to the mixed initial-boundary value problem 2.5 remarks 3 exact controllability for first order quasilinear hyperbolic systems 3.1 introduction and main results 3.2 framework of resolution 3.3 two-sided control——proof of theorem 3.1 3.4 one-sided control——proof of theorem 3.2 3.5 two-sided control with less controls——proof of theorem 3.3. 3.6 exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues 4 exact observability for first order quasilinear hyperbolic systems 4.1 introduction and main results 4.2 two-sided observation——proof of theorem 4.1 4.3 one-sided observation——proof of theorem 4.2 4.4 two-sided observation with less observed values——proof of theorem 4.3 4.5 exact observability for first order quasilinear hyperbolic systems with zero eigenvalues 4.6 "duality" between controllability and observability for first order quasilinear hyperbolic systems 5 exact boundary controllability for quasilinear wave equations 5.1 introduction and main results 5.2 semi-global c2 solution for 1-d quasilinear wave equations 5.3 two-sided control——proof of theorem 5.1 5.4 one-sided control——proof of theorem 5.2 5.5 remarks 6 exact boundary observability for quasilinear wave equations 6.1 introduction 6.2 semi-global c2 solution for 1-d quasilinear wave equations （continued） 6.3 exact boundary observability 6.4 "duality" between controllability and observability for quasilinear wave equations 7 exact boundary controllability of unsteady flows in a tree-like network of open canals 7.1 introduction 7.2 preliminaries 7.3 exact boundary controllability of unsteady flows in a single open canal 7.4 exact boundary controllability for quasilinear hyperbolic systems on a star-like network 7.5 exact boundary controllability of unsteady flows in a star-like network of open canals 7.6 exact boundary controllability of unsteady flows in a tree-like network of open canals 7.7 remarks 8 exact boundary observability of unsteady flows in a tree-like network of open canals 8.1 introduction 8.2 preliminaries 8.3 exact boundary observability of unsteady flows in a single open canal 8.4 exact boundary observability of unsteady flows in a star-like network of open canals 8.5 exact boundary observability of unsteady flows in a tree-like network of open canals 8.6 "duality" between controllability and observability in a tree-like network of open canals 9 controllability and observability for nonautonomous hyperbolic systems 9.1 introduction 9.2 two-sided control 9.3 one-sided control 9.4 two-sided observation 9.5 one-sided observation 9.6 remarks 10 note on the one-sided exact boundary controllability for first order quasilinear hyperbolic systems 10.1 introduction 10.2 reduction of the problem 10.3 semi-global c2 solution to a class of second order quasilinear hyperbolic equations 10.4 one-sided exact boundary controllability for a class of second order quasilinear hyperbolic equations 11 note on the one-sided exact boundary observability for first order quasilinear hyperbolic systems 11.1 introduction 11.2 reduction of the problem 11.3 proof of theorem 11.1 11.4 "duality" between controllability and observability appendix a: an introduction to quasilinear hyperbolic systems a.1 definition of quasilinear hyperbolic system a.2 characteristic form of hyperbolic system a.3 reducible quasilinear hyperbolic system. riemann invariants a.4 blow-up phenomenon a.5 cauchy problem a.6 mixed initial-boundary value problem a.7 decomposition of waves references index |
内容加载中，请稍后...
商品评论（0条）