Abstract: A new form is presented for the transient solution of the matrix Riccati equation associated with the linear optimal regulator and filter problems for time-invariant plants. The solution is ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them. Graphs of exponential ...

Exponential growth compounds investment returns over time, enhancing long-term wealth. S&P 500's historic 10% annual return illustrates exponential growth's impact on investments. Staying invested in ...

Exponential curves which pass through 0 can be described using two variables. Data can be translated from exponential into linear space, fitted using a linear least squares strategy, then the result ...

Abstract: In this article, for Itô stochastic systems with aperiodic sampling and multiple time-delays, we provide two different types of mean square exponential stability analysis methods. One method ...