Controlled invariance for nonlinear systems
Controlled invariance for nonlinear systems
Necessary and sufficient conditions are derived for "( <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">A, B</tex> )- invariance," called here controlled invariance, for nonlinear systems <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\dot{x} = f(x, u)</tex> . The obtained results generalize and elucidate already known results about systems <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\dot{x} = A(x) - \sum \min{i=1}\max{m} =u_{i}B_{i}(x)</tex> . A …