49 Result(s)
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Chapter
Approximate Boundary Synchronization by p-Groups
The boundary by p-groups is introduced and studied in this chapter for system (III) with coupled Robin controls.
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Chapter
Exactly Synchronizable States by p-Groups
When system (I) possesses the exact synchronization by p-groups, the corresponding exactly synchronizable states by p-groups will be studied in this chapter.
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Chapter
Unique Continuation for Robin Problems
We consider the unique for Robin problems in this chapter.
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Chapter
Closing Remarks
Some closing remarks including related literatures and prospects are given in this chapter.
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Chapter
Approximate Boundary Synchronization
The approximate boundary synchronization is defined and studied in this chapter for system (I) with Dirichlet boundary controls.
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Chapter
Exact Boundary Synchronization and Non-exact Boundary Synchronization
In the case of partial lack of boundary , we consider the exact boundary synchronization and the non-exact boundary in this chapter for system (II) with Neumann boundary controls.
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Chapter
Determination of Exactly Synchronizable States by p-Groups
When system (II) possesses the exact boundary synchronization by p-groups, the corresponding exactly synchronizable states by p-groups will be studied in this chapter.
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Chapter
Approximate Boundary Synchronization
The approximate boundary synchronization is defined and studied in this chapter for system (II) with Neumann boundary controls.
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Chapter
Exact Boundary Synchronization
Based on the results of the exact boundary controllability and the non-exact boundary controllability, we study the exact boundary synchronization for system (III) with coupled Robin boundary controls.
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Chapter
Algebraic Preliminaries
This chapter contains some algebraic preliminaries, which are useful in the whole book. In this chapter, we denote by A a matrix of order N, by D a full column-rank matrix of order \(N\times M\) with $$M\leqslant...
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Chapter
Preliminaries on Problem (III) and (III0)
In order to consider the exact boundary and the exact boundary synchronization of system (III), we first give some necessary results on problem (III) and (III0) in this chapter.
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Chapter
Exact Boundary Synchronization by p-Groups
The exact boundary synchronization by groups will be considered in this chapter for system (III) with further lack of coupled Robin boundary controls.
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Chapter
Exact Boundary Synchronization and Non-exact Boundary Synchronization
In the case of partial lack of boundary controls, we consider the exact boundary synchronization and the non-exact boundary synchronization in this chapter for system (I) with Dirichlet boundary controls.
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Chapter
Determination of Exactly Synchronizable States by p-Groups
When system (III) possesses the exact boundary synchronization by p- , the corresponding exactly synchronizable states by p-groups will be studied in this chapter.
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Chapter
Exact Boundary Synchronization by Groups
The exact synchronization by groups will be considered in this chapter for system (I) with further lack of Dirichlet boundary controls.
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Chapter
Approximate Boundary Null Controllability
In this chapter, we will define the approximate boundary null controllability for system (III) and the D-observability for the adjoint problem, and show that these two concepts are equivalent to each other.
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Chapter
Approximately Synchronizable States by p-Groups
When system (III) is approximately synchronizable by p-groups, the corresponding approximately synchronizable states by p-groups will be considered in this chapter.
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Chapter
Approximate Boundary Synchronization
The approximate synchronization is defined and studied in this chapter for system (III) with coupled Robin boundary .
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Chapter
Exact Boundary Synchronization by p-Groups
The exact boundary synchronization by p-groups will be considered in this chapter for system (II) with further lack of Neumann boundary controls.
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Chapter
Approximate Boundary Null Controllability
In this chapter, we will define the approximate boundary null for system (II) and the D-observability for the adjoint problem, and show that these two concepts are equivalent to each other. Moreover, the corres...
