... to the law of non-conservation of entropy. Furthermore, we introduce a new and dual notion to entropy, namely, ectropy, as a measure of the tendency of a dynamicalsystem to do useful work and ... notion of a control vector Lyapunovfunction as a generalization of control Lyapunov functions [6], and showthat asymptotic stabilizability of a nonlinear dynamical system is equiva-lent to the ... integrative biological systems, economic systems, ecological sys-tems, and process control systems. These systems are strongly intercon-nected and consist of interacting subsystems exchanging matter,...