Abstract: Many inverse problems in science and engineering are formulated as recovery of piecewise finite-dimensional continuous (PFC) signals. Although the higher-order total variation (HTV) is known ...

Consider a sequence of real data points X₁, . . . , Xn with underlying means θ*₁, . . . ,θ*n. This paper starts from studying the setting that θ*i is both piecewise constant and monotone as a function ...

Abstract: This paper studies quantized control for discrete-time piecewise affine systems. For given stabilizing feedback controllers, we propose an encoding strategy for local stability. If the ...

In the study of production scheduling to meet random fluctuations in supply and demand, a probabilistic measure of effectiveness can be used. This measure is a piecewise quadratic positive definite ...