The synthesis of multi-programme controls in bilinear systems (Q2761361)
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scientific article; zbMATH DE number 1683406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The synthesis of multi-programme controls in bilinear systems |
scientific article; zbMATH DE number 1683406 |
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18 December 2001
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bilinear system
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control synthesis
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0.9168889
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0.89881754
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0.8910184
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0.88871694
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0.88338614
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The synthesis of multi-programme controls in bilinear systems (English)
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The authors address the bilinear system NEWLINE\[NEWLINE \dot x = \bigg(A(t) + \sum\limits_{i=1}^r B_i(t)u_i\bigg)x+F(t),\tag{1} NEWLINE\]NEWLINE where \(\,x\in R^n\), \(\,u\in R^r\), \(A(t)\) and \(B(t)\) are \(n\times n\)-matrices with continuous and bounded elements, \(\,F(t)\in C(R,R)\). Conditions are found under which the control \(\,u=u(t,x)\,\) realizes program motions of system (1) and, moreover, each of the motions is asymptotically stable by Lyapunov.
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