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Introduction
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August 1983 - August 2003
Questions
Questions (3)
Let A generate a strongly continuous semigroup T(t) on. X, B from U to X_{-1} be an admissible control operator for T(t), C X_1 to Y be an admissible observation opertator for T(t), Let K from X to U be a linear operator. The statte feedback control law
u(t)=Kx(t)+v(t).
under what condition for K, the closed loop is well posed.
Let X be a Banach space, A D(A)\to X* be a linear operator with closed range and B be a single-valued .monotone operator from X to X*. A question is: is the range of A+B a linear.subspace of X*? If X is reflexive space, the answer is right. how about the general Banach space?
In our research, there are many questions on the distribution of zeros of exponential polynomial. The simplest one is how can we determine the right boundary of the zeros for a finite sum of exponentials with real exponent.
