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- aggregation classification "A1".
- aggregation creator person.
- aggregation creator person.
- aggregation date "2002".
- aggregation format "application/pdf".
- aggregation hasFormat 160996.bibtex.
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- aggregation hasFormat 160996.doc.
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- aggregation hasFormat 160996.yaml.
- aggregation isPartOf urn:issn:0932-4194.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Technology and Engineering".
- aggregation title "Exponential stability of slowly time-varying nonlinear systems".
- aggregation abstract "Let (x) over dot = f (x, t, t/alpha) be a time-varying vector field depending on t containing a regular and a slow time scale (alpha large). Assume there exist a k(tau) greater than or equal to 1 and a gamma(tau) such that parallel tox(tau)(t, t(0), x(0))parallel to less than or equal to k(tau)e(-gamma(tau)(t-t0))parallel tox(0)parallel to, with x(tau)(t, t(0), x(0)) the solution of the parametrized system (x) over dot = f (x, t, tau) with initial state x(0) at t(0) We show that for a sufficiently large (x) over dot = f (x, t, t/alpha) is exponentially stable when "on average" gamma(tau) is positive. The use of this result is illustrated by means of two examples. First, we extend the circle criterion. Second, exponential stability for a pendulum with a nonlinear slowly time-varying friction attaining positive and negative values is discussed.".
- aggregation authorList BK102611.
- aggregation endPage "228".
- aggregation issue "3".
- aggregation startPage "202".
- aggregation volume "15".
- aggregation aggregates 716436.
- aggregation isDescribedBy 160996.
- aggregation similarTo s004980200008.
- aggregation similarTo LU-160996.