Now try the example questions below. Since -1 < 0, then it is a maximum turning point. \({b^2} - 4ac\) where \(a = - 1,\,b = 2\,and\,c = - 3\) \(= {2^2} - (4 \times ...

Abstract: In a companion paper [14], we developed a systematic Lyapunov approach to the regional stability and performance analysis of saturated systems via quadratic Lyapunov functions. The ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

Asymptotic expansions of the distributions of the linear and the quadratic discriminant functions are derived. The expected misclassification probabilities of these two functions are compared when the ...

Department of Computing and Informatics Saudi Electronics University, Riyadh, Saudi Arabia. Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India. In sampling the ...

Abstract: The paper introduces a quadratic programming algorithm for real-time local path planning of autonomous vehicles. The algorithm relies on discretized sampling points and an enhanced cost ...