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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Chen, G. de Figueiredo, R.J.P. |
| Copyright Year | 1989 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA (Chen, G.; de Figueiredo, R.J.P.) |
| Abstract | A generalized reproducing kernal Hilbert space (G-RKHS) of nonlinear Lipschitz operators is constructed for systems and control engineering applications. Specifically, the uniform topology is first introduced into the totality of one-parameter families of nonlinear Lipschitz operators to form a uniformly normed linear space, and then a generalized Bochner integral is introduced to define an operator-valued inner product structure and an induced norm for the space. It is shown that any closed and separable subspace of the resultant inner product space is a G-RKHS, which is a new mathematical structure. A generalized Fock space for the specific family of bounded nonlinear Volterra operators for multi-input/multi-output (MIMO) control systems can be constructed in the same manner. An application of the approach to a feedback design problem involving optimal disturbance rejection for general nonlinear MIMI control systems formulated in a Banach space setting is indicated.< |
| Starting Page | 96 |
| Ending Page | 101 |
| File Size | 690013 |
| Page Count | 6 |
| File Format | |
| DOI | 10.1109/CDC.1989.70081 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1989-12-13 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Nonlinear systems Nonlinear control systems Control systems Hilbert space Kernel Control engineering Optimal control MIMO Signal processing Application software |
| Content Type | Text |
| Resource Type | Article |
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